Below is a list of all intervals in the 11-limit within the arbitrarily selected exponent-limits (given in [3, 5 7 11>-monzo form) of [-15...+15, -10...+10 -4...+4 -2...+2>.
(In other words, these intervals also describe the pitches contained in euler genus with the factors 2n * 315 * 510 * 74 * 112.)
Also included is a complete listing for several important EDOs: 12, 17, 19, 22, 31, 41, 46, 53, 55.
(Note that very large ratio terms are given in scientific notation, where " x.yE+z " means " x.y * 10z ".)
ranked in ascending order of cents:
cents tinas 2,3,5,7,11-monzo ratio name (if any) 0 0.0 [ 0 0, 0 0 0 > 1 : 1 prime unity 0.022716864 0.2 [ 27 -14, -3 2 -1 > 6576668672 : 6576582375 0.07031446 0.5 [ 3 -13, 10 -2 0 > 78125000 : 78121827 0.176647523 1.3 [ -3 4, -2 -2 2 > 9801 : 9800 0.196391484 1.4 [-25 3, 9 1 -1 > 369140625 : 369098752 0.199364387 1.4 [ 24 -10, -5 0 1 > 184549376 : 184528125 0.219108348 1.6 [ 2 -11, 6 3 -2 > 21437500 : 21434787 0.246961983 1.8 [ 0 -9, 8 -4 2 > 47265625 : 47258883 0.325441411 2.3 [ -4 6, -6 3 0 > 250047 : 250000 0.373039007 2.7 [-28 7, 7 -1 1 > 1879453125 : 1879048192 0.395755871 2.8 [ -1 -7, 4 1 0 > 4375 : 4374 0.463728629 3.3 [ 19 9, -8 -4 -1 > 10319560704 : 10316796875 0.502088934 3.6 [ -7 10, -8 1 2 > 50014503 : 50000000 0.521832895 3.7 [-29 9, 3 4 -1 > 5907360375 : 5905580032 0.572403394 4.1 [ -4 -3, 2 -1 2 > 3025 : 3024 0.660120113 4.7 [ -6 12, 1 -3 -2 > 2657205 : 2656192 0.698480418 5.0 [-32 13, 1 2 1 > 4296700485 : 4294967296 0.721197281 5.1 [ -5 -1, -2 4 0 > 2401 : 2400 0.791511742 5.6 [ -2 -14, 8 2 0 > 19140625 : 19131876 0.859484499 6.1 [ 18 2, -4 -3 -1 > 2359296 : 2358125 0.882201363 6.3 [ 45 -12, -7 -1 -2 > 3.51844E+13 : 3.51664E+13 0.897844805 6.4 [ -8 3, -4 2 2 > 160083 : 160000 0.920561668 6.6 [ 19 -11, -7 4 1 > 13846970368 : 13839609375 0.968159265 6.9 [ -5 -10, 6 0 2 > 1890625 : 1889568 1.055875983 7.5 [ -7 5, 5 -2 -2 > 759375 : 758912 1.058848886 7.5 [ 42 -8, -9 -3 0 > 4.39805E+12 : 4.39536E+12 1.094236289 7.8 [-33 6, 5 3 1 > 8595365625 : 8589934592 1.18492591 8.4 [ 14 8, -10 0 -1 > 107495424 : 107421875 1.232523506 8.8 [-10 9, 3 -4 0 > 2460375 : 2458624 1.25524037 8.9 [ 17 -5, 0 -2 -1 > 131072 : 130977 1.293600675 9.2 [ -9 -4, 0 3 2 > 41503 : 41472 1.381317394 9.8 [-11 11, -1 1 -2 > 1240029 : 1239040 1.431887893 10.2 [ 14 -1, -2 -4 1 > 180224 : 180075 1.451631854 10.3 [ -8 -2, 9 -1 -2 > 1953125 : 1951488 1.454604757 10.4 [ 41 -15, -5 -2 0 > 2.19902E+12 : 2.19718E+12 1.489992159 10.6 [-34 -1, 9 4 1 > 51583984375 : 51539607552 1.557964917 11.1 [-14 15, -3 -1 0 > 14348907 : 14336000 1.580681781 11.2 [ 13 1, -6 1 -1 > 172032 : 171875 1.603398644 11.4 [ 40 -13, -9 3 -2 > 3.77132E+14 : 3.76783E+14 1.628279377 11.6 [-11 2, 7 -3 0 > 703125 : 702464 1.63125228 11.6 [ 38 -11, -7 -4 2 > 3.32602E+13 : 3.32289E+13 1.650996241 11.7 [ 16 -12, 4 -1 -1 > 40960000 : 40920957 1.689356546 12.0 [-10 -11, 4 4 2 > 181575625 : 181398528 1.757329304 12.5 [ 10 5, -8 -1 1 > 2737152 : 2734375 1.777073265 12.6 [-12 4, 3 2 -2 > 496125 : 495616 1.827643764 13.0 [ 13 -8, 2 -3 1 > 2252800 : 2250423 1.953720788 13.9 [-15 8, 1 0 0 > 32805 : 32768 skhisma [Ellis], schisma 1.976437651 14.1 [ 12 -6, -2 2 -1 > 200704 : 200475 2.130368311 15.2 [-18 12, -1 -2 2 > 64304361 : 64225280 2.150112272 15.3 [-40 11, 10 1 -1 > 1.21097E+13 : 1.20946E+13 2.153085175 15.3 [ 9 -2, -4 0 1 > 5632 : 5625 2.172829136 15.5 [-13 -3, 7 3 -2 > 26796875 : 26763264 2.200682771 15.7 [-15 -1, 9 -4 2 > 236328125 : 236027904 2.223399635 15.8 [ 12 -15, 6 -2 1 > 704000000 : 703096443 2.279162199 16.2 [-19 14, -5 3 0 > 1640558367 : 1638400000 2.326759795 16.6 [-43 15, 8 -1 1 > 6.16555E+13 : 6.15727E+13 2.349476659 16.7 [-16 1, 5 1 0 > 65625 : 65536 2.352449561 16.7 [ 33 -12, -9 0 2 > 1.03938E+12 : 1.03797E+12 2.372193522 16.9 [ 11 -13, 2 3 -1 > 17561600 : 17537553 2.44016628 17.4 [ 31 3, -10 -2 -2 > 57982058496 : 57900390625 2.478526585 17.6 [ 5 4, -10 3 1 > 9779616 : 9765625 2.51048074 17.9 [ 34 -10, 0 -4 -2 > 17179869184 : 17154974529 2.526124182 18.0 [-19 5, 3 -1 2 > 3675375 : 3670016 2.548841045 18.1 [ 8 -9, 0 1 1 > 19712 : 19683 2.674918069 19.0 [-20 7, -1 4 0 > 5250987 : 5242880 2.745232529 19.5 [-17 -6, 9 2 0 > 95703125 : 95551488 2.813205287 20.0 [ 3 10, -3 -3 -1 > 472392 : 471625 2.835922151 20.2 [ 30 -4, -6 -1 -2 > 1073741824 : 1071984375 2.851565593 20.3 [-23 11, -3 2 2 > 1050304563 : 1048576000 2.874282456 20.5 [ 4 -3, -6 4 1 > 422576 : 421875 2.921880053 20.8 [-20 -2, 7 0 2 > 9453125 : 9437184 3.009596771 21.4 [-22 13, 6 -2 -2 > 24911296875 : 24868028416 3.012569674 21.4 [ 27 0, -8 -3 0 > 134217728 : 133984375 3.047957077 21.7 [-48 14, 6 3 1 > 2.81971E+14 : 2.81475E+14 3.208961158 22.8 [ 2 3, 1 -2 -1 > 540 : 539 3.231678022 23.0 [ 29 -11, -2 0 -2 > 536870912 : 535869675 3.247321463 23.1 [-24 4, 1 3 2 > 16808715 : 16777216 3.385608681 24.1 [ -1 7, -1 -4 1 > 24057 : 24010 3.405352642 24.2 [-23 6, 10 -1 -2 > 7119140625 : 7105150976 3.408325545 24.3 [ 26 -7, -4 -2 0 > 67108864 : 66976875 3.443712947 24.5 [-49 7, 10 4 1 > 5.64071E+14 : 5.6295E+14 3.534402569 25.2 [ -2 9, -5 1 -1 > 137781 : 137500 3.557119432 25.3 [ 25 -5, -8 3 -2 > 11509170176 : 11485546875 3.582000165 25.5 [-26 10, 8 -3 0 > 23066015625 : 23018340352 3.584973068 25.5 [ 23 -3, -6 -4 2 > 1015021568 : 1012921875 3.604717029 25.7 [ 1 -4, 5 -1 -1 > 6250 : 6237 3.643077334 25.9 [-25 -3, 5 4 2 > 907878125 : 905969664 3.711050092 26.4 [ -5 13, -7 -1 1 > 17537553 : 17500000 3.730794053 26.5 [-27 12, 4 2 -2 > 16275380625 : 16240345088 3.733766955 26.6 [ 22 -1, -10 1 0 > 29360128 : 29296875 3.781364552 26.9 [ -2 0, 3 -3 1 > 1375 : 1372 3.804081415 27.1 [ 25 -14, 0 -1 0 > 33554432 : 33480783 3.930158439 28.0 [ -3 2, -1 2 -1 > 441 : 440 3.952875303 28.1 [ 24 -12, -4 4 -2 > 40282095616 : 40190225625 3.980728939 28.3 [ 22 -10, -2 -3 2 > 507510784 : 506345175 4.000472899 28.5 [ 0 -11, 9 0 -1 > 1953125 : 1948617 4.106805963 29.2 [ -6 6, -3 0 1 > 8019 : 8000 4.126549923 29.4 [-28 5, 8 3 -2 > 32558203125 : 32480690176 4.129522826 29.4 [ 21 -8, -6 2 0 > 102760448 : 102515625 4.154403559 29.6 [-30 7, 10 -4 2 > 2.58425E+12 : 2.57805E+12 4.177120423 29.7 [ -3 -7, 7 -2 1 > 859375 : 857304 4.303197447 30.6 [-31 9, 6 1 0 > 2152828125 : 2147483648 4.306170349 30.6 [ 18 -4, -8 0 2 > 31719424 : 31640625 4.32591431 30.8 [ -4 -5, 3 3 -1 > 42875 : 42768 4.393887068 31.3 [ 16 11, -9 -2 -2 > 11609505792 : 11580078125 4.432247373 31.5 [-10 12, -9 3 1 > 2005126893 : 2000000000 4.464201528 31.8 [ 19 -2, 1 -4 -2 > 2621440 : 2614689 4.47984497 31.9 [-34 13, 4 -1 2 > 1.20571E+11 : 1.20259E+11 4.502561833 32.0 [ -7 -1, 1 1 1 > 385 : 384 4.525278697 32.2 [ 20 -15, -2 3 0 > 359661568 : 358722675 4.628638857 32.9 [-35 15, 0 4 0 > 34451725707 : 34359738368 4.663565915 33.2 [ 43 -12, -4 -4 -1 > 8.79609E+12 : 8.77243E+12 4.698953317 33.4 [-32 2, 10 2 0 > 4306640625 : 4294967296 4.70192622 33.5 [ 17 -11, -4 1 2 > 111017984 : 110716875 4.721670181 33.6 [ -5 -12, 7 4 -1 > 187578125 : 187067232 4.789642939 34.1 [ 15 4, -5 -1 -2 > 2654208 : 2646875 4.828003244 34.4 [-11 5, -5 4 1 > 6417873 : 6400000 4.859957399 34.6 [ 18 -9, 5 -3 -2 > 819200000 : 816903549 4.875600841 34.7 [-35 6, 8 0 2 > 34456640625 : 34359738368 4.898317704 34.9 [ -8 -8, 5 2 1 > 1684375 : 1679616 4.966290462 35.3 [ 12 8, -7 -3 0 > 26873856 : 26796875 4.989007325 35.5 [ 39 -6, -10 -1 -1 > 5.49756E+11 : 5.48174E+11 5.027367631 35.8 [ 13 -5, -10 4 2 > 2379948032 : 2373046875 5.162681946 36.7 [-13 11, 2 -2 -1 > 4428675 : 4415488 5.185398809 36.9 [ 14 -3, -1 0 -2 > 16384 : 16335 5.201042251 37.0 [-39 12, 2 3 2 > 5.5141E+11 : 5.49756E+11 5.294073575 37.7 [ -9 -15, 9 3 1 > 7369140625 : 7346640384 5.339329469 38.0 [-16 15, 0 -4 1 > 157837977 : 157351936 5.362046333 38.2 [ 11 1, -3 -2 0 > 6144 : 6125 5.384763196 38.3 [ 38 -13, -6 0 -1 > 2.74878E+11 : 2.74024E+11 5.432360793 38.7 [ 14 -12, 7 -4 0 > 1280000000 : 1275989841 5.51084022 39.2 [ 10 3, -7 3 -2 > 9483264 : 9453125 5.538693856 39.4 [ 8 5, -5 -4 2 > 7527168 : 7503125 5.558437817 39.6 [-14 4, 6 -1 -1 > 1265625 : 1261568 5.561410719 39.6 [ 35 -9, -8 -2 1 > 3.77957E+11 : 3.76745E+11 5.58115468 39.7 [ 13 -10, 3 1 -2 > 7168000 : 7144929 5.596798122 39.8 [-40 5, 6 4 2 > 1.10307E+12 : 1.09951E+12 5.687487743 40.5 [ 7 7, -9 1 0 > 1959552 : 1953125 5.73508534 40.8 [-17 8, 4 -3 1 > 45106875 : 44957696 5.757802203 41.0 [ 10 -6, 1 -1 0 > 5120 : 5103 5.883879227 41.9 [-18 10, 0 2 -1 > 2893401 : 2883584 5.906596091 42.0 [ 9 -4, -3 4 -2 > 1229312 : 1225125 5.934449727 42.2 [ 7 -2, -1 -3 2 > 15488 : 15435 5.954193687 42.4 [-15 -3, 10 0 -1 > 9765625 : 9732096 6.060526751 43.1 [-21 14, -2 0 1 > 52612659 : 52428800 6.080270711 43.3 [-43 13, 9 3 -2 > 1.06807E+15 : 1.06433E+15 6.083243614 43.3 [ 6 0, -5 2 0 > 3136 : 3125 6.105960478 43.4 [ 33 -14, -8 4 -1 > 2.06244E+13 : 2.05518E+13 6.130841211 43.6 [-18 1, 8 -2 1 > 12890625 : 12845056 6.153558074 43.8 [ 9 -13, 5 0 0 > 1600000 : 1594323 amity 6.244247696 44.4 [ 56 -11, -10 -3 -2 > 7.20576E+16 : 7.17982E+16 6.259891137 44.5 [ 3 4, -7 0 2 > 78408 : 78125 6.279635098 44.7 [-19 3, 4 3 -1 > 5788125 : 5767168 6.282608001 44.7 [ 30 -10, -10 2 1 > 5.78747E+11 : 5.7665E+11 6.330205597 45.0 [ 6 -9, 3 -2 2 > 968000 : 964467 6.417922316 45.7 [ 4 6, 2 -4 -2 > 291600 : 290521 6.456282621 45.9 [-22 7, 2 1 1 > 4209975 : 4194304 6.478999485 46.1 [ 5 -7, -1 3 0 > 10976 : 10935 6.617286703 47.1 [ 28 -4, -3 -4 -1 > 268435456 : 267411375 6.655647008 47.4 [ 2 -3, -3 1 2 > 3388 : 3375 6.675390969 47.5 [-20 -4, 8 4 -1 > 937890625 : 934281216 6.743363727 48.0 [ 0 12, -4 -1 -2 > 531441 : 529375 6.781724032 48.3 [-26 13, -4 4 1 > 42107664753 : 41943040000 6.813678187 48.5 [ 3 -1, 6 -3 -2 > 125000 : 124509 6.816651089 48.5 [ 52 -14, -8 -4 0 > 4.5036E+15 : 4.4859E+15 6.829321628 48.6 [-50 14, 9 0 2 > 1.13035E+15 : 1.1259E+15 6.852038492 48.8 [-23 0, 6 2 1 > 8421875 : 8388608 6.874755356 48.9 [ 4 -14, 3 4 0 > 4802000 : 4782969 6.942728113 49.4 [ 24 2, -9 -1 -1 > 150994944 : 150390625 6.981088419 49.7 [ -2 3, -9 4 2 > 7844067 : 7812500 7.013042573 49.9 [ 27 -11, 1 -3 -1 > 671088640 : 668375631 7.051402879 50.2 [ 1 -10, 1 2 2 > 59290 : 59049 7.139119597 50.8 [ -1 5, 0 0 -2 > 243 : 242 7.209434057 51.3 [ 2 -8, 10 -2 -2 > 39062500 : 38900169 7.247794363 51.6 [-24 -7, 10 3 1 > 36845703125 : 36691771392 7.315767121 52.1 [ -4 9, -2 -2 0 > 19683 : 19600 7.338483984 52.2 [ 23 -5, -5 0 -1 > 8388608 : 8353125 7.386081581 52.6 [ -1 -4, 8 -4 0 > 390625 : 388962 7.464561008 53.1 [ -5 11, -6 3 -2 > 60761421 : 60500000 7.492414644 53.3 [ -7 13, -4 -4 2 > 192913083 : 192080000 7.512158605 53.5 [-29 12, 7 -1 -1 > 41518828125 : 41339060224 7.515131507 53.5 [ 20 -1, -7 -2 1 > 11534336 : 11484375 7.534875468 53.6 [ -2 -2, 4 1 -2 > 4375 : 4356 7.537848371 53.6 [ 47 -15, -10 0 0 > 1.40737E+14 : 1.40126E+14 7.55051891 53.7 [-55 13, 7 4 2 > 3.61863E+16 : 3.60288E+16 7.585445967 54.0 [ 23 -14, 3 -4 1 > 11534336000 : 11483908569 7.641208531 54.4 [ -8 15, -8 1 0 > 100442349 : 100000000 7.711522991 54.9 [ -5 2, 2 -1 0 > 225 : 224 septimal-kleisma 7.734239855 55.0 [ 22 -12, -1 1 -1 > 29360128 : 29229255 7.860316879 55.9 [ -6 4, -2 4 -2 > 194481 : 193600 7.888170514 56.1 [ -8 6, 0 -3 2 > 88209 : 87808 7.910887378 56.3 [ 19 -8, -3 -1 1 > 5767168 : 5740875 7.930631339 56.4 [ -3 -9, 8 2 -2 > 19140625 : 19053144 8.036964402 57.2 [ -9 8, -4 2 0 > 321489 : 320000 8.059681266 57.4 [ 18 -6, -7 4 -1 > 629407744 : 626484375 8.084561999 57.5 [-33 9, 9 -2 1 > 4.22877E+11 : 4.20907E+11 8.107278862 57.7 [ -6 -5, 6 0 0 > 15625 : 15552 kleisma [Tanaka] 8.197968483 58.3 [ 41 -3, -9 -3 -2 > 2.19902E+12 : 2.18863E+12 8.213611925 58.4 [-12 12, -6 0 2 > 64304361 : 64000000 8.233355886 58.6 [-34 11, 5 3 -1 > 1.89879E+11 : 1.88979E+11 8.236328789 58.6 [ 15 -2, -9 2 1 > 17661952 : 17578125 8.283926385 58.9 [ -9 -1, 4 -2 2 > 75625 : 75264 8.306643249 59.1 [ 18 -15, 1 0 1 > 14417920 : 14348907 8.371643104 59.6 [-11 14, 3 -4 -2 > 597871125 : 594987008 8.410003409 59.8 [-37 15, 3 1 1 > 1.38108E+11 : 1.37439E+11 8.432720273 60.0 [-10 1, 0 3 0 > 1029 : 1024 8.503034733 60.5 [ -7 -12, 10 1 0 > 68359375 : 68024448 8.571007491 61.0 [ 13 4, -2 -4 -1 > 663552 : 660275 8.593724354 61.2 [ 40 -10, -5 -2 -2 > 1.09951E+12 : 1.09407E+12 8.609367796 61.3 [-13 5, -2 1 2 > 205821 : 204800 8.629111757 61.4 [-35 4, 9 4 -1 > 3.79846E+11 : 3.77957E+11 8.632084659 61.4 [ 14 -9, -5 3 1 > 61816832 : 61509375 8.679682256 61.8 [-10 -8, 8 -1 2 > 47265625 : 47029248 8.767398975 62.4 [-12 7, 7 -3 -2 > 170859375 : 169996288 8.770371877 62.4 [ 37 -6, -7 -4 0 > 1.37439E+11 : 1.36744E+11 8.80575928 62.7 [-38 8, 7 2 1 > 2.7628E+11 : 2.74878E+11 8.828476144 62.8 [-11 -6, 4 4 0 > 1500625 : 1492992 8.896448901 63.3 [ 9 10, -8 -1 -1 > 30233088 : 30078125 8.934809207 63.6 [-17 11, -8 4 2 > 51464923587 : 51200000000 8.966763361 63.8 [ 12 -3, 2 -3 -1 > 102400 : 101871 9.005123667 64.1 [-14 -2, 2 2 2 > 148225 : 147456 9.073096424 64.6 [ 6 14, -10 -3 1 > 3367210176 : 3349609375 9.092840385 64.7 [-16 13, 1 0 -2 > 7971615 : 7929856 9.166127748 65.2 [ 36 -13, -3 -3 0 > 68719476736 : 68356598625 9.292204772 66.1 [ 8 3, -4 0 -1 > 6912 : 6875 9.314921636 66.3 [ 35 -11, -7 2 -2 > 1.68363E+12 : 1.67459E+12 9.339802369 66.5 [-16 4, 9 -4 0 > 158203125 : 157351936 9.362519232 66.6 [ 11 -10, 6 -2 -1 > 32000000 : 31827411 9.400879537 66.9 [-15 -9, 6 3 2 > 648484375 : 644972544 9.468852295 67.4 [ 5 7, -6 -2 1 > 769824 : 765625 9.488596256 67.5 [-17 6, 5 1 -2 > 15946875 : 15859712 9.491569159 67.5 [ 32 -7, -9 0 0 > 4294967296 : 4271484375 escapade 9.539166755 67.9 [ 8 -6, 4 -4 1 > 1760000 : 1750329 9.617646183 68.4 [ 4 9, -10 3 -1 > 108020304 : 107421875 9.665243779 68.8 [-20 10, 3 -1 0 > 7381125 : 7340032 9.687960643 68.9 [ 7 -4, 0 1 -1 > 896 : 891 9.814037667 69.8 [-21 12, -1 4 -2 > 1275989841 : 1268776960 9.841891302 70.0 [-23 14, 1 -3 2 > 2893696245 : 2877292544 9.864608166 70.2 [ 4 0, -2 -1 1 > 176 : 175 x 46-edo 9.884352127 70.3 [-18 -1, 9 2 -2 > 95703125 : 95158272 9.88732503 70.4 [ 31 -14, -5 1 0 > 15032385536 : 14946778125 9.934922626 70.7 [ 7 -13, 8 -3 1 > 550000000 : 546852789 10.01340205 71.3 [ 3 2, -6 4 -1 > 172872 : 171875 10.06099965 71.6 [-21 3, 7 0 0 > 2109375 : 2097152 semicomma 10.06397255 71.6 [ 28 -10, -7 -1 2 > 32480690176 : 32292421875 10.08371651 71.8 [ 6 -11, 4 2 -1 > 1960000 : 1948617 10.15168927 72.2 [ 26 5, -8 -3 -2 > 16307453952 : 16212109375 10.19004958 72.5 [ 0 6, -8 2 1 > 392931 : 390625 10.23764717 72.8 [-24 7, 5 -2 2 > 826959375 : 822083584 10.26036404 73.0 [ 3 -7, 2 0 1 > 2200 : 2187 10.38644106 73.9 [-25 9, 1 3 0 > 33756345 : 33554432 10.52472828 74.9 [ -2 12, -1 -4 -1 > 531441 : 528220 10.54744514 75.1 [ 25 -2, -4 -2 -2 > 33554432 : 33350625 10.56308858 75.2 [-28 13, -1 1 2 > 1350391581 : 1342177280 10.58283254 75.3 [-50 12, 10 4 -1 > 1.24608E+16 : 1.23849E+16 10.58580545 75.3 [ -1 -1, -4 3 1 > 3773 : 3750 10.6177596 75.6 [ 28 -15, 6 -4 -2 > 4.1943E+12 : 4.16866E+12 10.63340304 75.7 [-25 0, 9 -1 2 > 236328125 : 234881024 10.65611991 75.8 [ 2 -14, 6 1 1 > 4812500 : 4782969 10.72111976 76.3 [-27 15, 8 -3 -2 > 5.60504E+12 : 5.57044E+12 10.72409267 76.3 [ 22 2, -6 -4 0 > 37748736 : 37515625 10.74680953 76.5 [ 49 -12, -9 -2 -1 > 5.6295E+14 : 5.59466E+14 10.78219693 76.7 [-26 2, 5 4 0 > 67528125 : 67108864 10.78516983 76.7 [ 23 -11, -9 3 2 > 3.48152E+11 : 3.4599E+11 10.87288655 77.4 [ 21 4, -10 1 -2 > 1189085184 : 1181640625 10.92048415 77.7 [ -3 5, 3 -3 -1 > 30375 : 30184 10.94320101 77.9 [ 24 -9, 0 -1 -2 > 16777216 : 16671501 10.95884445 78.0 [-29 6, 3 2 2 > 540280125 : 536870912 10.98156132 78.1 [ -2 -8, 0 4 1 > 26411 : 26244 11.11984854 79.1 [ 21 -5, -2 -3 0 > 2097152 : 2083725 11.24592556 80.0 [ -7 11, -3 0 -1 > 177147 : 176000 11.26864242 80.2 [ 20 -3, -6 2 -2 > 51380224 : 51046875 11.29352316 80.4 [-31 12, 10 -4 0 > 5.18985E+12 : 5.15611E+12 11.31624002 80.5 [ -4 -2, 7 -2 -1 > 78125 : 77616 11.31921292 80.5 [ 45 -15, -7 -3 1 > 3.87028E+14 : 3.84506E+14 11.35460033 80.8 [-30 -1, 7 3 2 > 3242421875 : 3221225472 11.42257308 81.3 [-10 15, -5 -2 1 > 157837977 : 156800000 11.44231704 81.4 [-32 14, 6 1 -2 > 5.23137E+11 : 5.19691E+11 11.44528995 81.4 [ 17 1, -8 0 0 > 393216 : 390625 würschmidt-comma 11.49288754 81.8 [ -7 2, 5 -4 1 > 309375 : 307328 11.51560441 81.9 [ 20 -12, 2 -2 0 > 26214400 : 26040609 11.62193747 82.7 [ 14 5, -10 -2 2 > 481738752 : 478515625 11.64168143 82.8 [ -8 4, 1 1 -1 > 2835 : 2816 11.66439829 83.0 [ 19 -10, -2 3 -2 > 179830784 : 178623225 11.69225193 83.2 [ 17 -8, 0 -4 2 > 15859712 : 15752961 11.81832895 84.1 [-11 8, -1 -1 1 > 72171 : 71680 11.83807291 84.2 [-33 7, 10 2 -2 > 1.04651E+12 : 1.03938E+12 11.84104582 84.3 [ 16 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: 2.71318E+11 22.60052589 160.8 [-37 10, 4 3 1 > 1.39245E+11 : 1.37439E+11 22.64150943 161.1 [1/53 0, 0 0 0 > 1/53-edo (pythagorean-comma = ~531441:524288 [3^12]; syntonic-comma = ~81:80, diaschisma = ~2048:2025) 22.7388131 161.8 [-14 13, 2 -4 0 > 39858075 : 39337984 22.76152997 162.0 [ 13 -1, -1 -2 -1 > 8192 : 8085 22.78424683 162.1 [ 40 -15, -4 0 -2 > 1.09951E+12 : 1.08514E+12 22.79989027 162.2 [-13 0, -1 3 2 > 41503 : 40960 22.83184443 162.5 [ 16 -14, 9 -4 -1 > 1.28E+11 : 1.26323E+11 22.87020473 162.7 [-10 -13, 9 1 2 > 1654296875 : 1632586752 22.88760699 162.9 [-15 15, -2 1 -2 > 100442349 : 99123200 22.93817749 163.2 [ 10 3, -3 -4 1 > 304128 : 300125 22.95792145 163.4 [-12 2, 8 -1 -2 > 3515625 : 3469312 22.96089435 163.4 [ 37 -11, -6 -2 0 > 1.37439E+11 : 1.35628E+11 22.99628176 163.6 [-38 3, 8 4 1 > 2.78554E+11 : 2.74878E+11 23.08697138 164.3 [ 9 5, -7 1 -1 > 870912 : 859375 23.10968824 164.4 [ 36 -9, -10 3 -2 > 2.35708E+13 : 2.32582E+13 23.13456897 164.6 [-15 6, 6 -3 0 > 11390625 : 11239424 23.13754188 164.6 [ 34 -7, -8 -4 2 > 2.07876E+12 : 2.05117E+12 23.15728584 164.8 [ 12 -8, 3 -1 -1 > 512000 : 505197 23.19564614 165.1 [-14 -7, 3 4 2 > 36315125 : 35831808 23.2636189 165.5 [ 6 9, -9 -1 1 > 13856832 : 13671875 23.28336286 165.7 [-16 8, 2 2 -2 > 8037225 : 7929856 23.33393336 166.0 [ 9 -4, 1 -3 1 > 28160 : 27783 23.46001038 166.9 [-19 12, 0 0 0 > 531441 : 524288 3-limit pythagorean augmented-7th [3^12] = pythagorean-comma 23.48272725 167.1 [ 8 -2, -3 2 -1 > 12544 : 12375 23.53032484 167.4 [-16 -1, 10 -2 0 > 9765625 : 9633792 23.53329775 167.5 [ 33 -14, -4 -3 2 > 1.03938E+12 : 1.02535E+12 23.55304171 167.6 [ 11 -15, 7 0 -1 > 160000000 : 157837977 23.65640187 168.3 [-44 15, 9 1 -1 > 1.96176E+14 : 1.93514E+14 23.65937477 168.4 [ 5 2, -5 0 1 > 3168 : 3125 23.67911873 168.5 [-17 1, 6 3 -2 > 16078125 : 15859712 23.68209163 168.5 [ 32 -12, -8 2 0 > 2.10453E+11 : 2.07594E+11 23.70697237 168.7 [-19 3, 8 -4 2 > 1276171875 : 1258815488 23.72968923 168.9 [ 8 -11, 5 -2 1 > 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4, -9 -3 0 > 679477248 : 669921875 24.71525075 175.9 [ -2 7, 0 -2 -1 > 2187 : 2156 24.73796762 176.0 [ 25 -7, -3 0 -2 > 33554432 : 33078375 24.75361106 176.1 [-28 8, 0 3 2 > 272301183 : 268435456 24.78556521 176.4 [ 1 -6, 10 -4 -1 > 19531250 : 19253619 24.82392552 176.6 [-25 -5, 10 1 2 > 8271484375 : 8153726976 24.89189828 177.1 [ -5 11, -2 -4 1 > 1948617 : 1920800 24.91164224 177.3 [-27 10, 9 -1 -2 > 1.1533E+11 : 1.13682E+11 24.91461514 177.3 [ 22 -3, -5 -2 0 > 4194304 : 4134375 24.95000254 177.5 [-53 11, 9 4 1 > 9.13795E+15 : 9.0072E+15 25.04069217 178.2 [ -6 13, -6 1 -1 > 11160261 : 11000000 25.06340903 178.3 [ 21 -1, -9 3 -2 > 719323136 : 708984375 25.08828976 178.5 [-30 14, 7 -3 0 > 3.73669E+11 : 3.68293E+11 25.09126266 178.5 [ 19 1, -7 -4 2 > 190316544 : 187578125 25.11100663 178.7 [ -3 0, 4 -1 -1 > 625 : 616 25.11397953 178.7 [ 46 -13, -10 -2 1 > 7.74056E+14 : 7.62908E+14 25.13372349 178.8 [ 24 -14, 1 1 -2 > 587202560 : 578739249 25.14936693 179.0 [-29 1, 4 4 2 > 544726875 : 536870912 25.28765415 179.9 [ -6 4, 2 -3 1 > 22275 : 21952 25.31037101 180.1 [ 21 -10, -1 -1 0 > 2097152 : 2066715 25.43644804 181.0 [ -7 6, -2 2 -1 > 35721 : 35200 25.4591649 181.2 [ 20 -8, -5 4 -2 > 2517630976 : 2480878125 25.48701854 181.4 [ 18 -6, -3 -3 2 > 31719424 : 31255875 25.5067625 181.5 [ -4 -7, 8 0 -1 > 390625 : 384912 25.61309556 182.3 [-10 10, -4 0 1 > 649539 : 640000 25.63283952 182.4 [-32 9, 7 3 -2 > 5.27443E+11 : 5.19691E+11 25.63581242 182.4 [ 17 -4, -7 2 0 > 6422528 : 6328125 25.66069316 182.6 [-34 11, 9 -4 2 > 4.18648E+13 : 4.12489E+13 25.68341002 182.8 [ -7 -3, 6 -2 1 > 171875 : 169344 25.80948704 183.7 [-35 13, 5 1 0 > 34875815625 : 34359738368 25.81245995 183.7 [ 14 0, -9 0 2 > 1982464 : 1953125 25.83220391 183.8 [ -8 -1, 2 3 -1 > 8575 : 8448 25.88277441 184.2 [ 17 -13, 1 -2 2 > 79298560 : 78121827 25.90017666 184.3 [ 12 15, -10 -2 -2 > 58773123072 : 57900390625 25.97049112 184.8 [ 15 2, 0 -4 -2 > 294912 : 290521 26.00885143 185.1 [-11 3, 0 1 1 > 2079 : 2048 26.03156829 185.2 [ 16 -11, -3 3 0 > 22478848 : 22143375 26.07916589 185.6 [ -8 -10, 10 -1 1 > 107421875 : 105815808 26.0869565 185.6 [1/46 0, 0 0 0 > 1/46-edo 26.16985551 186.2 [ 39 -8, -5 -4 -1 > 5.49756E+11 : 5.41508E+11 26.20524291 186.5 [-36 6, 9 2 0 > 69767578125 : 68719476736 26.20821582 186.5 [ 13 -7, -5 1 2 > 6938624 : 6834375 26.22795978 186.6 [ -9 -8, 6 4 -1 > 37515625 : 36951552 26.29593254 187.1 [ 11 8, -6 -1 -2 > 13436928 : 13234375 26.33429284 187.4 [-15 9, -6 4 1 > 519847713 : 512000000 26.366247 187.6 [ 14 -5, 4 -3 -2 > 10240000 : 10085229 26.38189044 187.7 [-39 10, 7 0 2 > 5.58198E+11 : 5.49756E+11 26.4046073 187.9 [-12 -4, 4 2 1 > 336875 : 331776 26.47258006 188.4 [ 8 12, -8 -3 0 > 136048896 : 133984375 26.56561138 189.0 [ 38 -15, -1 -3 -1 > 2.74878E+11 : 2.70692E+11 26.60397169 189.3 [ 12 -14, -1 2 2 > 24285184 : 23914845 26.66897154 189.8 [-17 15, 1 -2 -1 > 71744535 : 70647808 26.69168841 189.9 [ 10 1, -2 0 -2 > 3072 : 3025 26.76200287 190.4 [ 13 -12, 8 -2 -2 > 3200000000 : 3150913689 26.80036317 190.7 [-13 -11, 8 3 1 > 1473828125 : 1451188224 26.86833593 191.2 [ 7 5, -4 -2 0 > 31104 : 30625 26.89105279 191.4 [ 34 -9, -7 0 -1 > 17179869184 : 16915078125 26.93865039 191.7 [ 10 -8, 6 -4 0 > 16000000 : 15752961 27.01712982 192.2 [ 6 7, -8 3 -2 > 48009024 : 47265625 27.04498345 192.4 [ 4 9, -6 -4 2 > 38106288 : 37515625 27.06472741 192.6 [-18 8, 5 -1 -1 > 20503125 : 20185088 27.06770032 192.6 [ 31 -5, -9 -2 1 > 23622320128 : 23255859375 27.08744428 192.7 [ 9 -6, 2 1 -2 > 89600 : 88209 27.10308772 192.9 [-44 9, 5 4 2 > 1.78698E+13 : 1.75922E+13 27.19377734 193.5 [ 3 11, -10 1 0 > 9920232 : 9765625 27.24137494 193.8 [-21 12, 3 -3 1 > 730731375 : 719323136 27.2640918 194.0 [ 6 -2, 0 -1 0 > 64 : 63 septimal-comma, archytas-comma 27.33440626 194.5 [ 9 -15, 10 -3 0 > 5000000000 : 4921675101 27.39016882 194.9 [-22 14, -1 2 -1 > 234365481 : 230686720 27.41288569 195.1 [ 5 0, -4 4 -2 > 76832 : 75625 27.44073932 195.3 [ 3 2, -2 -3 2 > 8712 : 8575 27.46048328 195.4 [-19 1, 9 0 -1 > 5859375 : 5767168 27.46345619 195.4 [ 30 -12, -5 -1 1 > 11811160064 : 11625271875 27.48320015 195.6 [ 8 -13, 6 2 -2 > 196000000 : 192913083 27.58953321 196.3 [ 2 4, -6 2 0 > 15876 : 15625 27.61225007 196.5 [ 29 -10, -9 4 -1 > 1.28903E+12 : 1.26863E+12 27.63713081 196.7 [-22 5, 7 -2 1 > 208828125 : 205520896 27.65984767 196.8 [ 5 -9, 4 0 0 > 20000 : 19683 minimal-diesis 27.76618073 197.6 [ -1 8, -8 0 2 > 793881 : 781250 27.78592469 197.7 [-23 7, 3 3 -1 > 93767625 : 92274688 27.83649519 198.1 [ 2 -5, 2 -2 2 > 12100 : 11907 27.92421191 198.7 [ 0 10, 1 -4 -2 > 295245 : 290521 27.96257222 199.0 [-26 11, 1 1 1 > 68201595 : 67108864 27.98528908 199.1 [ 1 -3, -2 3 0 > 686 : 675 28.1235763 200.1 [ 24 0, -4 -4 -1 > 16777216 : 16506875 28.14629316 200.3 [ 51 -14, -7 -2 -2 > 2.2518E+15 : 2.21549E+15 28.1589637 200.4 [-51 14, 10 2 0 > 2.28873E+15 : 2.2518E+15 28.1619366 200.4 [ -2 1, -4 1 2 > 2541 : 2500 28.18168057 200.5 [-24 0, 7 4 -1 > 187578125 : 184549376 28.18465347 200.6 [ 25 -13, -7 3 1 > 1.26601E+11 : 1.24556E+11 28.23225106 200.9 [ 1 -12, 6 -1 2 > 3781250 : 3720087 28.31996778 201.5 [ -1 3, 5 -3 -2 > 84375 : 83006 28.32294069 201.5 [ 48 -10, -9 -4 0 > 2.81475E+14 : 2.76908E+14 28.35832809 201.8 [-27 4, 5 2 1 > 136434375 : 134217728 28.38104495 202.0 [ 0 -10, 2 4 0 > 60025 : 59049 28.44901771 202.4 [ 20 6, -10 -1 -1 > 764411904 : 751953125 28.48737802 202.7 [ -6 7, -10 4 2 > 635369427 : 625000000 28.51933217 202.9 [ 23 -7, 0 -3 -1 > 8388608 : 8251551 28.55769248 203.2 [ -3 -6, 0 2 2 > 5929 : 5832 28.64540919 203.8 [ -5 9, -1 0 -2 > 19683 : 19360 28.71572365 204.3 [ -2 -4, 9 -2 -2 > 1953125 : 1920996 28.75408396 204.6 [-28 -3, 9 3 1 > 7369140625 : 7247757312 28.82205672 205.1 [ -8 13, -3 -2 0 > 1594323 : 1568000 28.84477358 205.3 [ 19 -1, -6 0 -1 > 524288 : 515625 28.86749044 205.4 [ 46 -15, -9 2 -2 > 3.44807E+15 : 3.39105E+15 28.89237118 205.6 [ -5 0, 7 -4 0 > 78125 : 76832 28.91508804 205.8 [ 22 -14, 4 -2 -1 > 2621440000 : 2578020291 28.95344835 206.0 [ -4 -13, 4 3 2 > 25939375 : 25509168 28.9708506 206.2 [ -9 15, -7 3 -2 > 4921675101 : 4840000000 29.0214211 206.5 [ 16 3, -8 -2 1 > 19464192 : 19140625 29.04116506 206.7 [ -6 2, 3 1 -2 > 7875 : 7744 29.09173556 207.0 [ 19 -10, 2 -4 1 > 144179200 : 141776649 29.21781259 207.9 [ -9 6, 1 -1 0 > 3645 : 3584 29.24052945 208.1 [ 18 -8, -2 1 -1 > 1835008 : 1804275 29.2682927 208.3 [1/41 0, 0 0 0 > 1/41-edo (~pythagorean augmented-7th) 29.36660648 209.0 [-10 8, -3 4 -2 > 15752961 : 15488000 29.39446011 209.2 [-12 10, -1 -3 2 > 7144929 : 7024640 29.41420407 209.3 [-34 9, 10 0 -1 > 1.92217E+11 : 1.88979E+11 29.41717697 209.3 [ 15 -4, -4 -1 1 > 360448 : 354375 29.43692094 209.5 [ -7 -5, 7 2 -2 > 3828125 : 3763584 29.543254 210.2 [-13 12, -5 2 0 > 26040609 : 25600000 29.56597086 210.4 [ 14 -2, -8 4 -1 > 39337984 : 38671875 29.5908516 210.6 [-37 13, 8 -2 1 > 6.85061E+12 : 6.73451E+12 29.61356846 210.7 [-10 -1, 5 0 0 > 3125 : 3072 magic-comma, small diesis [Ellis] 29.61654136 210.7 [ 39 -14, -9 -1 2 > 6.65205E+13 : 6.53922E+13 29.63628532 210.9 [ 17 -15, 2 2 -1 > 160563200 : 157837977 29.70425808 211.4 [ 37 1, -10 -3 -2 > 4.12317E+11 : 4.05303E+11 29.73964548 211.6 [-38 15, 4 3 -1 > 3.07605E+12 : 3.02366E+12 29.74261839 211.6 [ 11 2, -10 2 1 > 9934848 : 9765625 29.79021598 212.0 [-13 3, 3 -2 2 > 408375 : 401408 29.81293285 212.1 [ 14 -11, 0 0 1 > 180224 : 177147 29.93900987 213.0 [-14 5, -1 3 0 > 83349 : 81920 30.00932433 213.5 [-11 -8, 9 1 0 > 13671875 : 13436928 30.07729709 214.0 [ 9 8, -3 -4 -1 > 3359232 : 3301375 30.10001395 214.2 [ 36 -6, -6 -2 -2 > 68719476736 : 67535015625 30.11565739 214.3 [-17 9, -3 1 2 > 16671501 : 16384000 30.13540135 214.4 [-39 8, 8 4 -1 > 6.1535E+12 : 6.04731E+12 30.13837426 214.5 [ 10 -5, -6 3 1 > 3863552 : 3796875 30.18597185 214.8 [-14 -4, 7 -1 2 > 9453125 : 9289728 30.27368857 215.4 [-16 11, 6 -3 -2 > 2767921875 : 2719940608 30.27666147 215.4 [ 33 -2, -8 -4 0 > 8589934592 : 8441015625 30.31204888 215.7 [-42 12, 6 2 1 > 4.47573E+12 : 4.39805E+12 30.33476574 215.9 [-15 -2, 3 4 0 > 300125 : 294912 30.4027385 216.3 [ 5 14, -9 -1 -1 > 153055008 : 150390625 30.4410988 216.6 [-21 15, -9 4 2 > 4.16866E+12 : 4.096E+12 30.47305296 216.8 [ 8 1, 1 -3 -1 > 3840 : 3773 30.49576982 217.0 [ 35 -13, -2 -1 -2 > 34359738368 : 33759789525 30.51141326 217.1 [-18 2, 1 2 2 > 266805 : 262144 30.53413013 217.3 [ 9 -12, -2 4 1 > 13522432 : 13286025 30.66944444 218.2 [-17 4, 10 -2 -2 > 791015625 : 777125888 30.67241734 218.3 [ 32 -9, -4 -3 0 > 4294967296 : 4219543125 30.70780475 218.5 [-43 5, 10 3 1 > 8.95351E+12 : 8.79609E+12 30.79849437 219.2 [ 4 7, -5 0 -1 > 34992 : 34375 30.82121123 219.3 [ 31 -7, -8 2 -2 > 1.05227E+11 : 1.0337E+11 30.84609197 219.5 [-20 8, 8 -4 0 > 2562890625 : 2517630976 30.86880883 219.7 [ 7 -6, 5 -2 -1 > 400000 : 392931 30.90716913 219.9 [-19 -5, 5 3 2 > 129696875 : 127401984 30.97514189 220.4 [ 1 11, -7 -2 1 > 3897234 : 3828125 30.99488585 220.6 [-21 10, 4 1 -2 > 258339375 : 253755392 30.99785876 220.6 [ 28 -3, -10 0 0 > 268435456 : 263671875 31.04545635 220.9 [ 4 -2, 3 -4 1 > 22000 : 21609 31.17153338 221.8 [-24 14, 2 -1 0 > 119574225 : 117440512 31.19425024 222.0 [ 3 0, -1 1 -1 > 56 : 55 31.2169671 222.1 [ 30 -14, -4 3 -2 > 3.68293E+11 : 3.61712E+11 31.24482074 222.3 [ 28 -12, -2 -4 2 > 32480690176 : 31899746025 31.2645647 222.5 [ 6 -13, 9 -1 -1 > 125000000 : 122762871 31.302925 222.7 [-20 -12, 9 4 2 > 5.67424E+11 : 5.57256E+11 31.37089776 223.2 [ 0 4, -3 -1 1 > 891 : 875 31.39064172 223.4 [-22 3, 8 2 -2 > 516796875 : 507510784 31.39361463 223.4 [ 27 -10, -6 1 0 > 939524096 : 922640625 31.44121222 223.7 [ 3 -9, 7 -3 1 > 6875000 : 6751269 31.51969165 224.3 [ -1 6, -7 4 -1 > 1750329 : 1718750 31.56728925 224.6 [-25 7, 6 0 0 > 34171875 : 33554432 ampersand-comma 31.57026215 224.6 [ 24 -6, -8 -1 2 > 2030043136 : 1993359375 31.59000611 224.8 [ 2 -7, 3 2 -1 > 24500 : 24057 31.65797887 225.3 [ 22 9, -9 -3 -2 > 82556485632 : 81060546875 31.69633917 225.5 [ -4 10, -9 2 1 > 31827411 : 31250000 31.74393677 225.9 [-28 11, 4 -2 2 > 13396741875 : 13153337344 31.76665363 226.0 [ -1 -3, 1 0 1 > 55 : 54 31.89273066 226.9 [-29 13, 0 3 0 > 546852789 : 536870912 31.96304512 227.4 [-26 0, 10 1 0 > 68359375 : 67108864 31.96601802 227.5 [ 23 -13, -4 0 2 > 1015021568 : 996451875 31.98576198 227.6 [ 1 -14, 7 3 -1 > 53593750 : 52612659 32.05373474 228.1 [ 21 2, -5 -2 -2 > 18874368 : 18528125 32.09209504 228.4 [ -5 3, -5 3 1 > 101871 : 100000 32.1240492 228.6 [ 24 -11, 5 -4 -2 > 52428800000 : 51464923587 32.13969264 228.7 [-29 4, 8 -1 2 > 3828515625 : 3758096384 32.1624095 228.9 [ -2 -10, 5 1 1 > 240625 : 236196 32.23038226 229.3 [ 18 6, -7 -4 0 > 191102976 : 187578125 32.25309913 229.5 [ 45 -8, -10 -2 -1 > 3.51844E+13 : 3.4535E+13 32.28848653 229.8 [-30 6, 4 4 0 > 1093955625 : 1073741824 32.29145943 229.8 [ 19 -7, -10 3 2 > 21759524864 : 21357421875 32.42677375 230.7 [ -7 9, 2 -3 -1 > 492075 : 482944 32.44949061 230.9 [ 20 -5, -1 -1 -2 > 1048576 : 1029105 32.46513405 231.0 [-33 10, 2 2 2 > 8752538025 : 8589934592 32.48785091 231.2 [ -6 -4, -1 4 1 > 26411 : 25920 32.62613813 232.2 [ 17 -1, -3 -3 0 > 131072 : 128625 32.648855 232.3 [ 44 -15, -6 -1 -1 > 1.75922E+13 : 1.72635E+13 32.6872153 232.6 [ 18 -14, -6 4 2 > 76158337024 : 74733890625 32.75221516 233.1 [-11 15, -4 0 -1 > 14348907 : 14080000 32.77493202 233.2 [ 16 1, -7 2 -2 > 9633792 : 9453125 32.82252962 233.6 [ -8 2, 6 -2 -1 > 140625 : 137984 32.82550252 233.6 [ 41 -11, -8 -3 1 > 2.41893E+13 : 2.37349E+13 32.84524648 233.7 [ 19 -12, 3 0 -2 > 65536000 : 64304361 32.86088992 233.8 [-34 3, 6 3 2 > 17509078125 : 17179869184 32.95157954 234.5 [ 13 5, -9 0 0 > 1990656 : 1953125 32.99917714 234.8 [-11 6, 4 -4 1 > 5011875 : 4917248 33.021894 235.0 [ 16 -8, 1 -2 0 > 327680 : 321489 33.14797103 235.9 [-12 8, 0 1 -1 > 45927 : 45056 33.17068789 236.0 [ 15 -6, -3 3 -2 > 11239424 : 11026125 33.19854153 236.2 [ 13 -4, -1 -4 2 > 991232 : 972405 33.21828549 236.4 [ -9 -5, 10 -1 -1 > 9765625 : 9580032 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2324168 : 2278125 34.72865281 247.1 [ 1 9, -6 2 -2 > 1928934 : 1890625 34.7762504 247.5 [-23 10, 7 -2 -1 > 4613203125 : 4521459712 34.77922331 247.5 [ 26 -3, -7 -3 1 > 738197504 : 723515625 34.79896727 247.6 [ 4 -4, 4 0 -2 > 10000 : 9801 34.81461071 247.7 [-49 11, 7 3 2 > 5.74385E+14 : 5.6295E+14 34.90530033 248.4 [ -2 13, -8 0 0 > 1594323 : 1562500 34.95289793 248.7 [-26 14, 5 -4 1 > 1.64415E+11 : 1.61128E+11 34.97561479 248.9 [ 1 0, 2 -2 0 > 50 : 49 small biseptimal-comma, tritonic diesis, decatonic comma [Erlich] 34.99833165 249.0 [ 28 -14, -1 0 -1 > 268435456 : 263063295 35.12440868 249.9 [ 0 2, -2 3 -2 > 3087 : 3025 35.15226231 250.1 [ -2 4, 0 -4 2 > 9801 : 9604 35.17497918 250.3 [ 25 -10, -3 -2 1 > 369098752 : 361675125 35.19472314 250.4 [ 3 -11, 8 1 -2 > 21875000 : 21434787 35.3010562 251.2 [ -3 6, -4 1 0 > 5103 : 5000 35.32377307 251.4 [ 24 -8, -7 3 -1 > 5754585088 : 5638359375 35.3486538 251.5 [-27 7, 9 -3 1 > 46986328125 : 46036680704 35.37137066 251.7 [ 0 -7, 6 -1 0 > 15625 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37.45414138 266.5 [ 6 4, -8 1 1 > 399168 : 390625 37.47388534 266.7 [-16 3, 3 4 -2 > 8103375 : 7929856 37.50173897 266.9 [-18 5, 5 -3 2 > 91884375 : 89915392 37.52445584 267.0 [ 9 -9, 2 -1 1 > 140800 : 137781 37.65053286 267.9 [-19 7, 1 2 0 > 535815 : 524288 37.67324972 268.1 [ 8 -7, -2 4 -1 > 614656 : 601425 37.81153694 269.1 [ 31 -4, -4 -3 -2 > 2147483648 : 2101089375 37.82718038 269.2 [-22 11, -1 0 2 > 21434787 : 20971520 37.84692434 269.3 [-44 10, 10 3 -1 > 1.97791E+14 : 1.93514E+14 37.84989725 269.3 [ 5 -3, -4 2 1 > 17248 : 16875 37.89749484 269.7 [-19 -2, 9 -2 2 > 236328125 : 231211008 37.98521156 270.3 [-21 13, 8 -4 -2 > 6.22782E+11 : 6.09267E+11 38.01090133 270.5 [ 55 -14, -9 -3 -1 > 3.60288E+16 : 3.52464E+16 38.02357187 270.6 [-47 14, 8 1 1 > 1.43863E+14 : 1.40737E+14 38.04628873 270.7 [-20 0, 5 3 0 > 1071875 : 1048576 38.04926163 270.8 [ 29 -13, -9 2 2 > 3.18311E+12 : 3.11391E+12 38.13697835 271.4 [ 27 2, -10 0 -2 > 1207959552 : 1181640625 38.18457595 271.7 [ 3 3, 3 -4 -1 > 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107.2060066 762.9 [-16 14, 1 -3 0 > 23914845 : 22478848 107.2287234 763.0 [ 11 0, -2 -1 -1 > 2048 : 1925 107.2514403 763.2 [ 38 -14, -5 1 -2 > 1.92415E+12 : 1.80856E+12 107.2670837 763.3 [-15 1, -2 4 2 > 871563 : 819200 107.2990379 763.5 [ 14 -13, 8 -3 -1 > 6400000000 : 6015380679 107.3373982 763.8 [-12 -12, 8 2 2 > 2316015625 : 2176782336 107.405371 764.3 [ 8 4, -4 -3 1 > 228096 : 214375 107.4251149 764.4 [-14 3, 7 0 -2 > 2109375 : 1982464 107.4280878 764.4 [ 35 -10, -7 -1 0 > 34359738368 : 32292421875 107.5541648 765.3 [ 7 6, -8 2 -1 > 4572288 : 4296875 107.6017624 765.7 [-17 7, 5 -2 0 > 6834375 : 6422528 107.6047353 765.7 [ 32 -6, -9 -3 2 > 5.19691E+11 : 4.88373E+11 107.6244793 765.8 [ 10 -7, 2 0 -1 > 25600 : 24057 107.7308124 766.6 [ 4 10, -10 0 1 > 10392624 : 9765625 107.7505563 766.7 [-18 9, 1 3 -2 > 33756345 : 31719424 107.77841 766.9 [-20 11, 3 -4 2 > 2679348375 : 2517630976 107.8011268 767.1 [ 7 -3, 0 -2 1 > 1408 : 1323 107.9272039 768.0 [-21 13, -1 1 0 > 11160261 : 10485760 107.9499207 768.2 [ 6 -1, -4 3 -1 > 21952 : 20625 107.9975183 768.5 [-18 0, 9 -1 0 > 1953125 : 1835008 108.0004912 768.5 [ 31 -13, -5 -2 2 > 2.59846E+11 : 2.44131E+11 108.0202352 768.7 [ 9 -14, 6 1 -1 > 56000000 : 52612659 108.0882079 769.1 [ 29 2, -6 -4 -2 > 4831838208 : 4539390625 108.1265682 769.4 [ 3 3, -6 1 1 > 16632 : 15625 108.1463122 769.6 [-19 2, 5 4 -2 > 67528125 : 63438848 108.1492851 769.6 [ 30 -11, -9 3 0 > 3.68293E+11 : 3.4599E+11 108.1741658 769.7 [-21 4, 7 -3 2 > 765703125 : 719323136 108.1968827 769.9 [ 6 -10, 4 -1 1 > 440000 : 413343 108.3229597 770.8 [-22 6, 3 2 0 > 4465125 : 4194304 108.3456766 771.0 [ 5 -8, 0 4 -1 > 76832 : 72171 108.4839638 772.0 [ 28 -5, -2 -3 -2 > 268435456 : 252130725 108.4996072 772.1 [-25 10, 1 0 2 > 35724645 : 33554432 108.5223241 772.2 [ 2 -4, -2 2 1 > 2156 : 2025 108.6576384 773.2 [-24 12, 10 -4 -2 > 5.18985E+12 : 4.87413E+12 108.6833282 773.4 [ 52 -15, -7 -3 -1 > 4.5036E+15 : 4.22956E+15 108.6959987 773.5 [-50 13, 10 1 1 > 1.19886E+15 : 1.1259E+15 108.7187156 773.6 [-23 -1, 7 3 0 > 26796875 : 25165824 108.7216885 773.6 [ 26 -14, -7 2 2 > 3.97888E+11 : 3.73669E+11 108.7866884 774.1 [ -3 15, -5 -2 -1 > 14348907 : 13475000 108.8094052 774.3 [ 24 1, -8 0 -2 > 50331648 : 47265625 108.8570028 774.6 [ 0 2, 5 -4 -1 > 28125 : 26411 108.8797197 774.8 [ 27 -12, 2 -2 -2 > 3355443200 : 3150913689 108.8953631 774.9 [-26 3, 5 1 2 > 71465625 : 67108864 108.91808 775.0 [ 1 -11, 2 3 1 > 188650 : 177147 108.9860527 775.5 [ 21 5, -10 -2 0 > 509607936 : 478515625 109.0563672 776.0 [ 24 -8, 0 -4 0 > 16777216 : 15752961 109.0909091 776.3 [2/22 0, 0 0 0 > 1/11-edo, 2/22-edo, 5/55-edo (minor-2nd, diatonic-semitone) 109.1824442 776.9 [ -4 8, -1 -1 -1 > 6561 : 6160 109.2051611 777.1 [ 23 -6, -4 1 -2 > 58720256 : 55130625 109.2208045 777.2 [-30 9, -1 4 2 > 5718324843 : 5368709120 109.2527587 777.4 [ -1 -5, 9 -3 -1 > 1953125 : 1833678 109.291119 777.7 [-27 -4, 9 2 2 > 11580078125 : 10871635968 109.3590917 778.2 [ -7 12, -3 -3 1 > 5845851 : 5488000 109.3788357 778.3 [-29 11, 8 0 -2 > 69198046875 : 64961380352 109.3818086 778.3 [ 20 -2, -6 -1 0 > 1048576 : 984375 109.4521231 778.8 [ 23 -15, 4 -3 0 > 5242880000 : 4921675101 109.5078856 779.2 [ -8 14, -7 2 -1 > 234365481 : 220000000 109.5306025 779.4 [ 19 0, -10 4 -2 > 1258815488 : 1181640625 109.5554832 779.6 [-32 15, 6 -2 0 > 2.24202E+11 : 2.10453E+11 109.5584561 779.6 [ 17 2, -8 -3 2 > 142737408 : 133984375 109.5782001 779.7 [ -5 1, 3 0 -1 > 375 : 352 109.600917 779.9 [ 22 -13, 0 2 -2 > 205520896 : 192913083 109.7548476 781.0 [ -8 5, 1 -2 1 > 13365 : 12544 109.7775645 781.2 [ 19 -9, -2 0 0 > 524288 : 492075 109.9036415 782.1 [ -9 7, -3 3 -1 > 750141 : 704000 109.9512391 782.4 [-33 8, 10 -1 0 > 64072265625 : 60129542144 109.954212 782.4 [ 16 -5, -4 -2 2 > 7929856 : 7441875 109.973956 782.6 [ -6 -6, 7 1 -1 > 546875 : 513216 110.0419287 783.0 [ 14 10, -5 -4 -2 > 967458816 : 907878125 110.080289 783.3 [-12 11, -5 1 1 > 13640319 : 12800000 110.100033 783.5 [-34 10, 6 4 -2 > 2.21526E+12 : 2.07876E+12 110.1030059 783.5 [ 15 -3, -8 3 0 > 11239424 : 10546875 110.1278866 783.7 [-36 12, 8 -3 2 > 2.51189E+13 : 2.35708E+13 110.1506035 783.8 [ -9 -2, 5 -1 1 > 34375 : 32256 110.2412931 784.5 [ 38 0, -10 -4 -1 > 2.74878E+11 : 2.5792E+11 110.2766805 784.7 [-37 14, 4 2 0 > 1.46478E+11 : 1.37439E+11 110.2796534 784.7 [ 12 1, -10 1 2 > 10407936 : 9765625 110.2993974 784.9 [-10 0, 1 4 -1 > 12005 : 11264 110.3499679 785.2 [ 15 -12, 0 -1 2 > 3964928 : 3720087 110.4376846 785.9 [ 13 3, -1 -3 -2 > 221184 : 207515 110.4760449 786.1 [-13 4, -1 2 1 > 43659 : 40960 110.4987618 786.3 [ 14 -10, -4 4 0 > 39337984 : 36905625 110.5463594 786.6 [-10 -9, 9 0 1 > 21484375 : 20155392 110.637049 787.3 [ 37 -7, -6 -3 -1 > 1.37439E+11 : 1.2893E+11 110.6724364 787.5 [-38 7, 8 3 0 > 2.93024E+11 : 2.74878E+11 110.6754093 787.5 [ 11 -6, -6 2 2 > 12142592 : 11390625 110.763126 788.2 [ 9 9, -7 0 -2 > 10077696 : 9453125 110.8107236 788.5 [-15 10, 6 -4 -1 > 922640625 : 865435648 110.8334405 788.7 [ 12 -4, 3 -2 -2 > 512000 : 480249 110.8490839 788.8 [-41 11, 6 1 2 > 2.34443E+12 : 2.19902E+12 110.8718008 788.9 [-14 -3, 3 3 1 > 471625 : 442368 110.9397735 789.4 [ 6 13, -9 -2 0 > 102036672 : 95703125 111.010088 789.9 [ 9 0, 1 -4 0 > 2560 : 2401 111.0328049 790.1 [ 36 -14, -2 -2 -1 > 68719476736 : 64450507275 111.0711652 790.4 [ 10 -13, -2 3 2 > 42499072 : 39858075 111.1588819 791.0 [ 8 2, -3 1 -2 > 16128 : 15125 111.2064795 791.3 [-16 3, 10 -3 -1 > 263671875 : 247267328 111.2094524 791.3 [ 33 -10, -4 -4 1 > 94489280512 : 88610405625 111.2291963 791.5 [ 11 -11, 7 -1 -2 > 160000000 : 150043509 111.2448398 791.6 [-42 4, 10 2 2 > 4.68993E+12 : 4.39805E+12 111.2675566 791.8 [-15 -10, 7 4 1 > 2063359375 : 1934917632 111.3355294 792.2 [ 5 6, -5 -1 0 > 23328 : 21875 111.3582463 792.4 [ 32 -8, -8 1 -1 > 30064771072 : 28191796875 111.4058439 792.7 [ 8 -7, 5 -3 0 > 800000 : 750141 111.4843233 793.3 [ 4 8, -9 4 -2 > 252047376 : 236328125 111.5121769 793.5 [ 2 10, -7 -3 2 > 28579716 : 26796875 111.5319209 793.6 [-20 9, 4 0 -1 > 12301875 : 11534336 111.5348938 793.7 [ 29 -4, -10 -1 1 > 5905580032 : 5537109375 111.5546377 793.8 [ 7 -5, 1 2 -2 > 31360 : 29403 111.7085684 794.9 [-23 13, 2 -2 1 > 438438825 : 411041792 111.7312853 795.1 [ 4 -1, -1 0 0 > 16 : 15 5-limit JI minor-2nd (diatonic-semitone) 111.7540021 795.2 [ 31 -15, -4 2 -1 > 1.05227E+11 : 98648735625 111.8015997 795.6 [ 7 -14, 9 -2 0 > 250000000 : 234365481 111.8573623 796.0 [-24 15, -2 3 -1 > 4921675101 : 4613734400 111.9079328 796.3 [ 1 3, -3 -2 2 > 6534 : 6125 111.9276768 796.5 [-21 2, 8 1 -1 > 24609375 : 23068672 111.9306497 796.5 [ 28 -11, -6 0 1 > 2952790016 : 2767921875 111.9503936 796.6 [ 6 -12, 5 3 -2 > 68600000 : 64304361 111.9782473 796.8 [ 4 -10, 7 -4 2 > 151250000 : 141776649 112.0567267 797.4 [ 0 5, -7 3 0 > 83349 : 78125 112.1043243 797.7 [-24 6, 6 -1 1 > 125296875 : 117440512 112.1270411 797.9 [ 3 -8, 3 1 0 > 7000 : 6561 112.1950139 798.4 [ 23 8, -9 -4 -1 > 55037657088 : 51583984375 112.2333742 798.6 [ -3 9, -9 1 2 > 16671501 : 15625000 112.2531182 798.8 [-25 8, 2 4 -1 > 393824025 : 369098752 112.3036887 799.1 [ 0 -4, 1 -1 2 > 605 : 567 112.3914054 799.8 [ -2 11, 0 -3 -2 > 177147 : 166012 112.4297657 800.0 [-28 12, 0 2 1 > 286446699 : 268435456 112.4524826 800.2 [ -1 -2, -3 4 0 > 2401 : 2250 112.5000801 800.5 [-25 -1, 10 0 1 > 107421875 : 100663296 112.522797 800.7 [ 2 -15, 7 2 0 > 15312500 : 14348907 112.5907698 801.2 [ 22 1, -5 -3 -1 > 12582912 : 11790625 112.6134866 801.3 [ 49 -13, -8 -1 -2 > 5.6295E+14 : 5.27497E+14 112.6261572 801.4 [-53 15, 9 3 0 > 9.61265E+15 : 9.0072E+15 112.6291301 801.5 [ -4 2, -5 2 2 > 53361 : 50000 112.6518469 801.6 [ 23 -12, -8 4 1 > 2.21552E+11 : 2.07594E+11 112.6994445 802.0 [ -1 -11, 5 0 2 > 378125 : 354294 112.7871613 802.6 [ -3 4, 4 -2 -2 > 50625 : 47432 112.7901342 802.6 [ 46 -9, -10 -3 0 > 7.03687E+13 : 6.59304E+13 112.8255216 802.8 [-29 5, 4 3 1 > 573024375 : 536870912 112.9638088 803.8 [ -6 8, 2 -4 0 > 164025 : 153664 112.9865256 804.0 [ 21 -6, -1 -2 -1 > 2097152 : 1964655 113.0248859 804.3 [ -5 -5, -1 3 2 > 41503 : 38880 113.1126027 804.9 [ -7 10, -2 1 -2 > 413343 : 387200 113.1631732 805.3 [ 18 -2, -3 -4 1 > 2883584 : 2701125 113.1829171 805.4 [ -4 -3, 8 -1 -2 > 390625 : 365904 113.20754717 805.6 [5/53 0, 0 0 0 > 5/53-edo ([largest] pythagorean augmented-prime/chromatic-semitone = apotome = ~ 2187:2048 [3^7]; [large] JI minor-2nd = ~16:15) 113.2212774 805.7 [-30 -2, 8 4 1 > 10316796875 : 9663676416 113.2892502 806.1 [-10 14, -4 -1 0 > 4782969 : 4480000 113.3119671 806.3 [ 17 0, -7 1 -1 > 917504 : 859375 113.3346839 806.5 [ 44 -14, -10 3 -2 > 6.03412E+15 : 5.65175E+15 113.3595646 806.6 [ -7 1, 6 -3 0 > 46875 : 43904 113.3625375 806.7 [ 42 -12, -8 -4 2 > 5.32164E+14 : 4.98434E+14 113.3822815 806.8 [ 20 -13, 3 -1 -1 > 131072000 : 122762871 113.4206418 807.1 [ -6 -12, 3 4 2 > 36315125 : 34012224 113.4886146 807.6 [ 14 4, -9 -1 1 > 14598144 : 13671875 113.5083585 807.7 [ -8 3, 2 2 -2 > 33075 : 30976 113.558929 808.1 [ 17 -9, 1 -3 1 > 7208960 : 6751269 113.6850061 809.0 [-11 7, 0 0 0 > 2187 : 2048 3-limit pythagorean augmented-prime [3^7] = pythagorean chromatic-semitone = apotome 113.7077229 809.1 [ 16 -7, -3 2 -1 > 3211264 : 3007125 113.7553205 809.5 [ -8 -6, 10 -2 0 > 9765625 : 9144576 113.8616536 810.2 [-14 11, -2 -2 2 > 21434787 : 20070400 113.8813975 810.4 [-36 10, 9 1 -1 > 8.07311E+11 : 7.55914E+11 113.8843704 810.4 [ 13 -3, -5 0 1 > 90112 : 84375 113.9041144 810.5 [ -9 -4, 6 3 -2 > 5359375 : 5018112 113.931968 810.7 [-11 -2, 8 -4 2 > 47265625 : 44255232 114.0104475 811.3 [-15 13, -6 3 0 > 546852789 : 512000000 114.0580451 811.6 [-39 14, 7 -1 1 > 4.11036E+12 : 3.84829E+12 114.0807619 811.8 [-12 0, 4 1 0 > 4375 : 4096 114.0837348 811.8 [ 37 -13, -10 0 2 > 1.66301E+13 : 1.55696E+13 114.1034788 811.9 [ 15 -14, 1 3 -1 > 56197120 : 52612659 114.241766 812.9 [ 38 -11, -1 -4 -2 > 2.74878E+11 : 2.57325E+11 114.2574095 813.0 [-15 4, 2 -1 2 > 245025 : 229376 114.2801263 813.2 [ 12 -10, -1 1 1 > 315392 : 295245 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: 1.24556E+11 170.4016622 [ -65 15 10 4 2 > 4.07096E+19 : 3.68935E+19 170.4365893 [ 13 -12 6 -4 1 > 1408000000 : 1275989841 170.5150687 [ 9 3 -8 3 -1 > 4741632 : 4296875 170.5626663 [ -15 4 5 -1 0 > 253125 : 229376 170.5656392 [ 34 -9 -9 -2 2 > 2.07876E+12 : 1.88372E+12 170.5853832 [ 12 -10 2 1 -1 > 716800 : 649539 170.6533559 [ 32 6 -10 -4 -2 > 3.13103E+12 : 2.83712E+12 170.6917162 [ 6 7 -10 1 1 > 10777536 : 9765625 170.7114602 [ -16 6 1 4 -2 > 8751645 : 7929856 170.7393138 [ -18 8 3 -3 2 > 99235125 : 89915392 170.7620307 [ 9 -6 0 -1 1 > 5632 : 5103 170.8881077 [ -19 10 -1 2 0 > 2893401 : 2621440 170.9108246 [ 8 -4 -4 4 -1 > 614656 : 556875 170.9584222 [ -16 -3 9 0 0 > 1953125 : 1769472 171.0491118 [ 31 -1 -6 -3 -2 > 2147483648 : 1945453125 171.0647553 [ -22 14 -3 0 2 > 578739249 : 524288000 171.0844992 [ -44 13 8 3 -1 > 2.13614E+14 : 1.93514E+14 171.0874721 [ 5 0 -6 2 1 > 17248 : 15625 171.110189 [ 32 -14 -9 4 0 > 1.03122E+13 : 9.34174E+12 171.1350697 [ -19 1 7 -2 2 > 28359375 : 25690112 171.1577866 [ 8 -13 4 0 1 > 1760000 : 1594323 171.2838636 [ -20 3 3 3 0 > 1157625 : 1048576 171.4221508 [ 3 6 1 -4 -1 > 29160 : 26411 171.4448677 [ 30 -8 -2 -2 -2 > 1073741824 : 972504225 171.4605111 [ -23 7 1 1 2 > 9261945 : 8388608 171.483228 [ 4 -7 -2 3 1 > 60368 : 54675 171.6185423 [ -22 9 10 -3 -2 > 1.92217E+11 : 1.74076E+11 171.6215152 [ 27 -4 -4 -4 0 > 134217728 : 121550625 171.6569026 [ -48 10 10 2 1 > 3.10815E+14 : 2.81475E+14 171.6796195 [ -21 -4 7 4 0 > 187578125 : 169869312 171.7475922 [ -1 12 -5 -1 -1 > 531441 : 481250 171.7703091 [ 26 -2 -8 1 -2 > 469762048 : 425390625 171.7859525 [ -27 13 -5 4 2 > 4.63184E+11 : 4.1943E+11 171.8179067 [ 2 -1 5 -3 -1 > 12500 : 11319 171.8208796 [ 51 -14 -9 -4 1 > 2.47698E+16 : 2.24295E+16 171.8406236 [ 29 -15 2 -1 -2 > 13421772800 : 12153524229 171.856267 [ -24 0 5 2 2 > 18528125 : 16777216 171.8789839 [ 3 -14 2 4 1 > 5282200 : 4782969 171.9439837 [ -26 15 4 0 -2 > 8968066875 : 8120172544 171.9469566 [ 23 2 -10 -1 0 > 75497472 : 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-31 5 10 0 0 > 2373046875 : 2147483648 172.9151159 [ 18 -8 -4 -1 2 > 31719424 : 28704375 172.9348598 [ -4 -9 7 2 -1 > 3828125 : 3464208 173.0028326 [ 16 7 -5 -3 -2 > 143327232 : 129696875 173.0411929 [ -10 8 -5 2 1 > 3536379 : 3200000 173.0639098 [ 17 -6 -8 4 0 > 314703872 : 284765625 173.0887905 [ -34 9 8 -2 2 > 9.30329E+11 : 8.41814E+11 173.1115074 [ -7 -5 5 0 1 > 34375 : 31104 173.202197 [ 40 -3 -10 -3 -1 > 1.09951E+12 : 9.94834E+11 173.2375844 [ -35 11 4 3 0 > 37975888125 : 34359738368 173.2405573 [ 14 -2 -10 2 2 > 97140736 : 87890625 173.3108717 [ 17 -15 0 0 2 > 15859712 : 14348907 173.3758716 [ -12 14 2 -4 -1 > 119574225 : 108179456 173.3985885 [ 15 0 -1 -2 -2 > 32768 : 29645 173.4142319 [ -38 15 2 1 2 > 3.03838E+11 : 2.74878E+11 173.4369488 [ -11 1 -1 3 1 > 11319 : 10240 173.4689029 [ 18 -13 9 -4 -2 > 5.12E+11 : 4.63184E+11 173.5072632 [ -8 -12 9 1 1 > 150390625 : 136048896 173.575236 [ 12 4 -3 -4 0 > 331776 : 300125 173.5979529 [ 39 -10 -6 -2 -1 > 5.49756E+11 : 4.97303E+11 173.6333403 [ -36 4 8 4 0 > 75969140625 : 68719476736 173.6363132 [ 13 -9 -6 3 2 > 339992576 : 307546875 173.7240299 [ 11 6 -7 1 -2 > 10450944 : 9453125 173.7716275 [ -13 7 6 -3 -1 > 34171875 : 30908416 173.7746004 [ 36 -6 -8 -4 1 > 7.55914E+11 : 6.83722E+11 173.7943443 [ 14 -7 3 -1 -2 > 2048000 : 1852389 173.8099878 [ -39 8 6 2 2 > 6.07815E+11 : 5.49756E+11 173.8327046 [ -12 -6 3 4 1 > 3301375 : 2985984 173.9006774 [ 8 10 -9 -1 0 > 15116544 : 13671875 173.9709919 [ 11 -3 1 -3 0 > 10240 : 9261 174.0970689 [ -17 13 0 0 -1 > 1594323 : 1441792 174.1197857 [ 10 -1 -3 2 -2 > 50176 : 45375 174.1673833 [ -14 0 10 -2 -1 > 9765625 : 8830976 174.1703562 [ 35 -13 -4 -3 1 > 3.77957E+11 : 3.41783E+11 174.1901002 [ 13 -14 7 0 -2 > 640000000 : 578739249 174.2057437 [ -40 1 10 3 2 > 1.21591E+12 : 1.09951E+12 174.2964333 [ 7 3 -5 0 0 > 3456 : 3125 174.3191501 [ 34 -11 -8 2 -1 > 8.41814E+11 : 7.61179E+11 174.3440309 [ -17 4 8 -4 1 > 348046875 : 314703872 174.3667477 [ 10 -10 5 -2 0 > 3200000 : 2893401 174.4730808 [ 4 7 -7 -2 2 > 4234032 : 3828125 174.4928248 [ -18 6 4 1 -1 > 3189375 : 2883584 174.4957977 [ 31 -7 -10 0 1 > 23622320128 : 21357421875 174.5155416 [ 9 -8 1 3 -2 > 878080 : 793881 174.5433953 [ 7 -6 3 -4 2 > 1936000 : 1750329 174.5454545 [8/55 0 0 0 0 > 8/55-edo 174.6694723 [ -21 10 2 -1 1 > 16238475 : 14680064 174.6921891 [ 6 -4 -1 1 0 > 448 : 405 174.8182662 [ -22 12 -2 4 -1 > 1275989841 : 1153433600 174.8531932 [ 56 -15 -6 -4 -2 > 7.20576E+16 : 6.51353E+16 174.8688367 [ 3 0 -3 -1 2 > 968 : 875 174.8885806 [ -19 -1 8 2 -1 > 19140625 : 17301504 174.8915535 [ 30 -14 -6 1 1 > 82678120448 : 74733890625 174.9112975 [ 8 -15 5 4 -2 > 1920800000 : 1736217747 174.9391511 [ 6 -13 7 -3 2 > 605000000 : 546852789 174.9565534 [ 1 15 -4 -3 -2 > 28697814 : 25939375 175.0176306 [ 2 2 -7 4 0 > 86436 : 78125 175.0652281 [ -22 3 6 0 1 > 4640625 : 4194304 175.087945 [ 5 -11 3 2 0 > 196000 : 177147 175.1559178 [ 25 5 -9 -3 -1 > 8153726976 : 7369140625 175.1942781 [ -1 6 -9 2 2 > 4322241 : 3906250 175.2645925 [ 2 -7 1 0 2 > 2420 : 2187 175.3523093 [ 0 8 0 -2 -2 > 6561 : 5929 175.3906696 [ -26 9 0 3 1 > 74263959 : 67108864 175.4226237 [ 3 -5 10 -4 -2 > 78125000 : 70596603 175.460984 [ -23 -4 10 1 1 > 751953125 : 679477248 175.5289568 [ -3 12 -2 -4 0 > 531441 : 480200 175.5516736 [ 24 -2 -5 -2 -1 > 16777216 : 15159375 175.587061 [ -51 12 9 4 0 > 2.49217E+15 : 2.2518E+15 175.5900339 [ -2 -1 -5 3 2 > 41503 : 37500 175.6097561 [6/41 0 0 0 0 > 6/41-edo (~pythagorean diminished-3rd; ~5-limit JI small major-2nd [10:9]) 175.6219881 [ 27 -15 5 -4 -1 > 4.1943E+11 : 3.78969E+11 175.6603484 [ 1 -14 5 1 2 > 5293750 : 4782969 175.6777507 [ -4 14 -6 1 -2 > 33480783 : 30250000 175.7253483 [ -28 15 7 -3 -1 > 1.12101E+12 : 1.01281E+12 175.7283212 [ 21 2 -7 -4 1 > 207618048 : 187578125 175.7480651 [ -1 1 4 -1 -2 > 1875 : 1694 175.751038 [ 48 -12 -10 -2 0 > 2.81475E+14 : 2.54303E+14 175.7864254 [ -27 2 4 4 1 > 148561875 : 134217728 175.9247126 [ -4 5 2 -3 0 > 6075 : 5488 175.9474295 [ 23 -9 -1 -1 -1 > 8388608 : 7577955 175.9857898 [ -3 -8 -1 4 2 > 290521 : 262440 176.0735065 [ -5 7 -2 2 -2 > 107163 : 96800 176.124077 [ 20 -5 -3 -3 1 > 11534336 : 10418625 176.143821 [ -2 -6 8 0 -2 > 390625 : 352836 176.2501541 [ -8 11 -4 0 0 > 177147 : 160000 176.2728709 [ 19 -3 -7 2 -1 > 25690112 : 23203125 176.2977517 [ -32 12 9 -4 1 > 1.14177E+13 : 1.03122E+13 176.3204685 [ -5 -2 6 -2 0 > 15625 : 14112 176.3234414 [ 44 -15 -8 -3 2 > 2.12865E+15 : 1.92253E+15 176.4268016 [ -11 15 -6 -2 2 > 1736217747 : 1568000000 176.4465455 [ -33 14 5 1 -1 > 1.04627E+11 : 94489280512 176.4495184 [ 16 1 -9 0 1 > 2162688 : 1953125 176.4692624 [ -6 0 2 3 -2 > 8575 : 7744 176.497116 [ -8 2 4 -4 2 > 680625 : 614656 176.5198329 [ 19 -12 1 -2 1 > 28835840 : 26040609 176.6459099 [ -9 4 0 1 0 > 567 : 512 176.6686268 [ 18 -10 -3 3 -1 > 89915392 : 81192375 176.7162244 [ -6 -9 10 -1 0 > 9765625 : 8817984 176.806914 [ 41 -7 -5 -4 -2 > 2.19902E+12 : 1.98553E+12 176.8225575 [ -12 8 -2 -1 2 > 793881 : 716800 176.8423014 [ -34 7 9 2 -1 > 2.09303E+11 : 1.88979E+11 176.8452743 [ 15 -6 -5 1 1 > 2523136 : 2278125 176.8650183 [ -7 -7 6 4 -2 > 37515625 : 33872256 176.8928719 [ -9 -5 8 -3 2 > 47265625 : 42674688 176.9713513 [ -13 10 -6 4 0 > 141776649 : 128000000 177.0189489 [ -37 11 7 0 1 > 1.52236E+11 : 1.37439E+11 177.0416658 [ -10 -3 4 2 0 > 30625 : 27648 177.1096386 [ 10 13 -8 -3 -1 > 1632586752 : 1473828125 177.1479989 [ -16 14 -8 2 2 > 28358223201 : 25600000000 177.2026699 [ 40 -14 -1 -3 -2 > 1.09951E+12 : 9.92538E+11 177.2183133 [ -13 1 2 0 2 > 9075 : 8192 177.2410302 [ 14 -13 -1 2 1 > 8830976 : 7971615 177.4374217 [ -11 -10 8 3 0 > 133984375 : 120932352 177.5053944 [ 9 6 -4 -2 -1 > 373248 : 336875 177.5281113 [ 36 -8 -7 0 -2 > 68719476736 : 62021953125 177.5437547 [ -17 7 -4 3 2 > 90767061 : 81920000 177.5757089 [ 12 -7 6 -4 -1 > 64000000 : 57760857 177.6140692 [ -14 -6 6 1 2 > 13234375 : 11943936 177.682042 [ 6 10 -6 -4 1 > 41570496 : 37515625 177.7017859 [ -16 9 5 -1 -2 > 61509375 : 55508992 177.7047588 [ 33 -4 -9 -2 0 > 8589934592 : 7751953125 177.7401462 [ -42 10 5 4 1 > 4.87357E+12 : 4.39805E+12 177.8308358 [ 5 12 -10 1 -1 > 119042784 : 107421875 177.8784334 [ -19 13 3 -3 0 > 199290375 : 179830784 177.9011503 [ 8 -1 0 -1 -1 > 256 : 231 177.9238672 [ 35 -15 -3 1 -2 > 2.40518E+11 : 2.17027E+11 177.9395106 [ -18 0 0 4 2 > 290521 : 262144 177.9714648 [ 11 -14 10 -3 -1 > 20000000000 : 18046142037 178.0098251 [ -15 -13 10 2 2 > 57900390625 : 52242776064 178.0272273 [ -20 15 -1 2 -2 > 703096443 : 634388480 178.0777978 [ 5 3 -2 -3 1 > 9504 : 8575 178.0975418 [ -17 2 9 0 -2 > 17578125 : 15859712 178.1005147 [ 32 -11 -5 -1 0 > 4294967296 : 3875090625 178.2265917 [ 4 5 -6 2 -1 > 190512 : 171875 178.2493086 [ 31 -9 -9 4 -2 > 5.15611E+12 : 4.65165E+12 178.2741893 [ -20 6 7 -2 0 > 56953125 : 51380224 178.2771622 [ 29 -7 -7 -3 2 > 64961380352 : 58604765625 178.2969062 [ 7 -8 4 0 -1 > 80000 : 72171 178.4032392 [ 1 9 -8 0 1 > 433026 : 390625 178.4229832 [ -21 8 3 3 -2 > 281302875 : 253755392 178.4508368 [ -23 10 5 -4 2 > 22327903125 : 20141047808 178.4735537 [ 4 -4 2 -2 1 > 4400 : 3969 178.5996307 [ -24 12 1 1 0 > 18600435 : 16777216 178.6223476 [ 3 -2 -2 3 -1 > 2744 : 2475 178.6729181 [ 28 -14 -3 -2 2 > 32480690176 : 29295685125 178.692662 [ 6 -15 8 1 -1 > 175000000 : 157837977 178.7606348 [ 26 1 -4 -4 -2 > 201326592 : 181575625 178.7960222 [ -49 15 10 2 -1 > 6.86618E+15 : 6.19245E+15 178.7989951 [ 0 2 -4 1 1 > 693 : 625 178.8187391 [ -22 1 7 4 -2 > 562734375 : 507510784 178.821712 [ 27 -12 -7 3 0 > 46036680704 : 41518828125 178.8465927 [ -24 3 9 -3 2 > 6380859375 : 5754585088 178.8693096 [ 3 -11 6 -1 1 > 1375000 : 1240029 178.9599992 [ 50 -9 -9 -4 -1 > 1.1259E+15 : 1.01533E+15 178.9953866 [ -25 5 5 2 0 > 37209375 : 33554432 178.9983595 [ 24 -8 -9 1 2 > 14210301952 : 12814453125 179.0181035 [ 2 -9 2 4 -1 > 240100 : 216513 179.0860762 [ 22 7 -10 -1 -2 > 9172942848 : 8271484375 179.1244365 [ -4 8 -10 4 1 > 173282571 : 156250000 179.1563907 [ 25 -6 0 -3 -2 > 33554432 : 30255687 179.1720341 [ -28 9 3 0 2 > 297705375 : 268435456 179.194751 [ -1 -5 0 2 1 > 539 : 486 179.3911425 [ -26 -2 9 3 0 > 669921875 : 603979776 179.3941154 [ 23 -15 -5 2 2 > 49736056832 : 44840334375 179.4591152 [ -6 14 -3 -2 -1 > 4782969 : 4312000 179.4818321 [ 21 0 -6 0 -2 > 2097152 : 1890625 179.4974755 [ -32 15 -3 3 2 > 5.95523E+11 : 5.36871E+11 179.5294297 [ -3 1 7 -4 -1 > 234375 : 211288 179.5521465 [ 24 -13 4 -2 -2 > 10485760000 : 9452741067 179.56779 [ -29 2 7 1 2 > 595546875 : 536870912 179.5905068 [ -2 -12 4 3 1 > 2358125 : 2125764 179.6584796 [ 18 4 -8 -2 0 > 21233664 : 19140625 179.7287941 [ 21 -9 2 -4 0 > 52428800 : 47258883 179.8351271 [ 15 8 -10 -4 2 > 26013892608 : 23447265625 179.8548711 [ -7 7 1 -1 -1 > 10935 : 9856 179.877588 [ 20 -7 -2 1 -2 > 7340032 : 6615675 179.8932314 [ -33 8 1 4 2 > 9530541405 : 8589934592 180.0315186 [ -10 11 -1 -3 1 > 1948617 : 1756160 180.0512626 [ -32 10 10 0 -2 > 5.7665E+11 : 5.19691E+11 180.0542355 [ 17 -3 -4 -1 0 > 131072 : 118125 180.1803125 [ -11 13 -5 2 -1 > 78121827 : 70400000 180.2030294 [ 16 -1 -8 4 -2 > 157351936 : 141796875 180.2279101 [ -35 14 8 -2 0 > 1.86835E+12 : 1.68363E+12 180.230883 [ 14 1 -6 -3 2 > 5947392 : 5359375 180.250627 [ -8 0 5 0 -1 > 3125 : 2816 180.2535999 [ 41 -13 -9 -1 1 > 2.41893E+13 : 2.17974E+13 180.2733438 [ 19 -14 2 2 -2 > 642252800 : 578739249 180.3796769 [ 13 3 -10 2 0 > 10838016 : 9765625 180.4272745 [ -11 4 3 -2 1 > 111375 : 100352 180.4499913 [ 16 -10 0 0 0 > 65536 : 59049 3-limit pythagorean diminished-3rd [3^10] 180.5760684 [ -12 6 -1 3 -1 > 250047 : 225280 180.6266389 [ 13 -6 -2 -2 2 > 991232 : 893025 180.6463828 [ -9 -7 9 1 -1 > 13671875 : 12317184 180.7143556 [ 11 9 -3 -4 -2 > 40310784 : 36315125 180.7527159 [ -15 10 -3 1 1 > 4546773 : 4096000 180.7724599 [ -37 9 8 4 -2 > 1.84605E+13 : 1.66301E+13 180.7754328 [ 12 -4 -6 3 0 > 1404928 : 1265625 180.8003135 [ -39 11 10 -3 2 > 2.09324E+14 : 1.88566E+14 180.8230304 [ -12 -3 7 -1 1 > 859375 : 774144 180.91372 [ 35 -1 -8 -4 -1 > 34359738368 : 30950390625 180.9491074 [ -40 13 6 2 0 > 1.22065E+12 : 1.09951E+12 180.9520803 [ 9 0 -8 1 2 > 433664 : 390625 180.9718242 [ -13 -1 3 4 -1 > 300125 : 270336 181.0223947 [ 12 -13 2 -1 2 > 12390400 : 11160261 181.039797 [ 7 15 -9 -1 -2 > 1836660096 : 1654296875 181.1101115 [ 10 2 1 -3 -2 > 46080 : 41503 181.13207547 [8/53 0 0 0 0 > 8/53-edo ([smallest] pythagorean diminished-3rd = ~3^-10; small major-2nd = ~10:9) 181.1484718 [ -16 3 1 2 1 > 72765 : 65536 181.1711886 [ 11 -11 -2 4 0 > 4917248 : 4428675 181.3094758 [ 34 -8 -4 -3 -1 > 17179869184 : 15471658125 181.3448632 [ -41 6 10 3 0 > 2.44187E+12 : 2.19902E+12 181.3478362 [ 8 -7 -4 2 2 > 1517824 : 1366875 181.4355529 [ 6 8 -5 0 -2 > 419904 : 378125 181.4831505 [ -18 9 8 -4 -1 > 7688671875 : 6923485184 181.5058673 [ 9 -5 5 -2 -2 > 1600000 : 1440747 181.5215108 [ -44 10 8 1 2 > 1.95369E+13 : 1.75922E+13 181.5442276 [ -17 -4 5 3 1 > 11790625 : 10616832 181.6122004 [ 3 12 -7 -2 0 > 4251528 : 3828125 181.6349173 [ 30 -2 -10 0 -1 > 1073741824 : 966796875 181.6825149 [ 6 -1 3 -4 0 > 8000 : 7203 181.7052317 [ 33 -15 0 -2 -1 > 8589934592 : 7734060873 181.743592 [ 7 -14 0 3 2 > 5312384 : 4782969 181.8085919 [ -22 15 2 -1 -1 > 358722675 : 322961408 181.8313087 [ 5 1 -1 1 -2 > 672 : 605 181.8818792 [ 30 -11 -2 -4 1 > 11811160064 : 10633248675 181.9016232 [ 8 -12 9 -1 -2 > 500000000 : 450130527 181.9399835 [ -18 -11 9 4 1 > 51583984375 : 46438023168 182.0079563 [ 2 5 -3 -1 0 > 972 : 875 182.0306731 [ 29 -9 -6 1 -1 > 3758096384 : 3383015625 182.0782707 [ 5 -8 7 -3 0 > 2500000 : 2250423 182.1567502 [ 1 7 -7 4 -2 > 10501974 : 9453125 182.1846038 [ -1 9 -5 -3 2 > 2381643 : 2143750 182.2043477 [ -23 8 6 0 -1 > 102515625 : 92274688 182.2073207 [ 26 -5 -8 -1 1 > 738197504 : 664453125 182.2270646 [ 4 -6 3 2 -2 > 98000 : 88209 182.3333977 [ -2 11 -9 2 0 > 8680203 : 7812500 182.3809953 [ -26 12 4 -2 1 > 3653656875 : 3288334336 182.4037121 [ 1 -2 1 0 0 > 10 : 9 182.5297892 [ -27 14 0 3 -1 > 1640558367 : 1476395008 182.5803597 [ -2 2 -1 -2 2 > 1089 : 980 182.6001036 [ -24 1 10 1 -1 > 205078125 : 184549376 182.6030765 [ 25 -12 -4 0 1 > 369098752 : 332150625 182.6086957 [ 7/46 0 0 0 0 > 7/46-edo 182.6228205 [ 3 -13 7 3 -2 > 214375000 : 192913083 182.6506741 [ 1 -11 9 -4 2 > 472656250 : 425329947 182.7291535 [ -3 4 -5 3 0 > 27783 : 25000 182.7767511 [ -27 5 8 -1 1 > 1044140625 : 939524096 182.799468 [ 0 -9 5 1 0 > 21875 : 19683 182.8674408 [ 20 7 -7 -4 -1 > 2293235712 : 2063359375 182.8901576 [ 47 -7 -10 -2 -2 > 1.40737E+14 : 1.26628E+14 182.9058011 [ -6 8 -7 1 2 > 5557167 : 5000000 182.925545 [ -28 7 4 4 -1 > 3281866875 : 2952790016 182.9285179 [ 21 -6 -10 3 1 > 7912554496 : 7119140625 182.9761155 [ -3 -5 3 -1 2 > 15125 : 13608 183.0638322 [ -5 10 2 -3 -2 > 1476225 : 1328096 183.1021926 [ -31 11 2 2 1 > 2387055825 : 2147483648 183.1249094 [ -4 -3 -1 4 0 > 2401 : 2160 183.2631966 [ 19 0 -3 -3 -1 > 524288 : 471625 183.2859135 [ 46 -14 -6 -1 -2 > 7.03687E+13 : 6.32996E+13 183.3015569 [ -7 1 -3 2 2 > 17787 : 16000 183.3242738 [ 20 -13 -6 4 1 > 27693940736 : 24911296875 183.3718714 [ -4 -12 7 0 2 > 9453125 : 8503056 183.4595881 [ -6 3 6 -2 -2 > 421875 : 379456 183.462561 [ 43 -10 -8 -3 0 > 8.79609E+12 : 7.91164E+12 183.4979484 [ -32 4 6 3 1 > 4775203125 : 4294967296 183.588638 [ 15 6 -9 0 -1 > 23887872 : 21484375 183.6362356 [ -9 7 4 -4 0 > 1366875 : 1229312 183.6589525 [ 18 -7 1 -2 -1 > 1310720 : 1178793 183.6973128 [ -8 -6 1 3 2 > 207515 : 186624 183.7850295 [ -10 9 0 1 -2 > 137781 : 123904 183.8356 [ 15 -3 -1 -4 1 > 360448 : 324135 183.855344 [ -7 -4 10 -1 -2 > 9765625 : 8781696 183.8937043 [ -33 -3 10 4 1 > 2.5792E+11 : 2.31928E+11 183.9616771 [ -13 13 -2 -1 0 > 1594323 : 1433600 183.9843939 [ 14 -1 -5 1 -1 > 114688 : 103125 184.0071108 [ 41 -15 -8 3 -2 > 7.54265E+14 : 6.7821E+14 184.0319915 [ -10 0 8 -3 0 > 390625 : 351232 184.0349644 [ 39 -13 -6 -4 2 > 6.65205E+13 : 5.9812E+13 184.0547084 [ 17 -14 5 -1 -1 > 409600000 : 368288613 184.0930687 [ -9 -13 5 4 2 > 907878125 : 816293376 184.1104709 [ -14 15 -6 4 -2 > 34451725707 : 30976000000 184.1610414 [ 11 3 -7 -1 1 > 608256 : 546875 184.1807854 [ -11 2 4 2 -2 > 275625 : 247808 184.1837583 [ 38 -11 -10 1 0 > 1.92415E+12 : 1.72995E+12 184.2313559 [ 14 -10 3 -3 1 > 22528000 : 20253807 184.3574329 [ -14 6 2 0 0 > 18225 : 16384 184.3801498 [ 13 -8 -1 2 -1 > 401408 : 360855 184.5340804 [ -17 10 0 -2 2 > 7144929 : 6422528 184.5567973 [ 10 -4 -3 0 1 > 11264 : 10125 184.5765413 [ -12 -5 8 3 -2 > 133984375 : 120434688 184.6043949 [ -14 -3 10 -4 2 > 1181640625 : 1062125568 184.6828743 [ -18 12 -4 3 0 > 182284263 : 163840000 184.7304719 [ -42 13 9 -1 1 > 3.4253E+13 : 3.07863E+13 184.7531888 [ -15 -1 6 1 0 > 109375 : 98304 184.7561617 [ 34 -14 -8 0 2 > 2.07876E+12 : 1.86835E+12 184.7759057 [ 12 -15 3 3 -1 > 175616000 : 157837977 184.8211616 [ 5 15 -6 -4 -1 > 459165024 : 412671875 184.8438784 [ 32 1 -9 -2 -2 > 12884901888 : 11580078125 184.8792658 [ -43 15 5 4 -1 > 1.07662E+14 : 9.6757E+13 184.8822387 [ 6 2 -9 3 1 > 2173248 : 1953125 184.9141929 [ 35 -12 1 -4 -2 > 1.71799E+11 : 1.54395E+11 184.9298363 [ -18 3 4 -1 2 > 2041875 : 1835008 184.9525532 [ 9 -11 1 1 1 > 197120 : 177147 185.0786302 [ -19 5 0 4 0 > 583443 : 524288 185.1489447 [ -16 -8 10 2 0 > 478515625 : 429981696 185.2169174 [ 4 8 -2 -3 -1 > 104976 : 94325 185.2396343 [ 31 -6 -5 -1 -2 > 2147483648 : 1929571875 185.2552777 [ -22 9 -2 2 2 > 116700507 : 104857600 185.2779946 [ 5 -5 -5 4 1 > 845152 : 759375 185.3255922 [ -19 -4 8 0 2 > 47265625 : 42467328 185.4133089 [ -21 11 7 -2 -2 > 13839609375 : 12434014208 185.4162818 [ 28 -2 -7 -3 0 > 268435456 : 241171875 185.4516692 [ -47 12 7 3 1 > 1.56651E+14 : 1.40737E+14 185.477359 [ 29 -15 -10 4 2 > 1.55972E+14 : 1.40126E+14 185.5423588 [ 0 14 -8 0 -1 > 4782969 : 4296875 185.5899564 [ -24 15 5 -4 0 > 44840334375 : 40282095616 185.6126733 [ 3 1 2 -2 -1 > 600 : 539 185.6353902 [ 30 -13 -1 0 -2 > 1073741824 : 964565415 185.6510336 [ -23 2 2 3 2 > 9338175 : 8388608 185.7893208 [ 0 5 0 -4 1 > 2673 : 2401 185.8120377 [ 27 -9 -3 -2 0 > 134217728 : 120558375 185.9381147 [ -1 7 -4 1 -1 > 15309 : 13750 185.9608316 [ 26 -7 -7 3 -2 > 23018340352 : 20673984375 185.9857123 [ -25 8 9 -3 0 > 12814453125 : 11509170176 185.9886852 [ 24 -5 -5 -4 2 > 2030043136 : 1823259375 186.0084292 [ 2 -6 6 -1 -1 > 62500 : 56133 186.0467895 [ -24 -5 6 4 2 > 4539390625 : 4076863488 186.1147622 [ -4 11 -6 -1 1 > 1948617 : 1750000 186.1345062 [ -26 10 5 2 -2 > 9041878125 : 8120172544 186.1374791 [ 23 -3 -9 1 0 > 58720256 : 52734375 186.1850767 [ -1 -2 4 -3 1 > 6875 : 6174 186.2635561 [ -5 13 -10 4 -1 > 3827969523 : 3437500000 186.3111537 [ -29 14 3 0 0 > 597871125 : 536870912 186.3338706 [ -2 0 0 2 -1 > 49 : 44 186.3565874 [ 25 -14 -3 4 -2 > 80564191232 : 72342406125 186.3844411 [ 23 -12 -1 -3 2 > 1015021568 : 911421315 186.404185 [ 1 -13 10 0 -1 > 19531250 : 17537553 186.5105181 [ -5 4 -2 0 1 > 891 : 800 186.5302621 [ -27 3 9 3 -2 > 18087890625 : 16240345088 186.533235 [ 22 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187.3700026 [ 13 6 -6 -3 0 > 5971968 : 5359375 187.3927195 [ 40 -8 -9 -1 -1 > 1.09951E+12 : 9.86713E+11 187.4310798 [ 14 -7 -9 4 2 > 4759896064 : 4271484375 187.5187965 [ 12 8 -10 2 -2 > 1316818944 : 1181640625 187.5663941 [ -12 9 3 -2 -1 > 2460375 : 2207744 187.5891109 [ 15 -5 0 0 -2 > 32768 : 29403 187.6047544 [ -38 10 3 3 2 > 3.06339E+11 : 2.74878E+11 187.7430416 [ -15 13 1 -4 1 > 87687765 : 78675968 187.7657585 [ 12 -1 -2 -2 0 > 4096 : 3675 187.7884753 [ 39 -15 -5 0 -1 > 5.49756E+11 : 4.93244E+11 187.8360729 [ 15 -14 8 -4 0 > 12800000000 : 11483908569 187.8918355 [ -16 15 -3 1 -1 > 100442349 : 90112000 187.9145524 [ 11 1 -6 3 -2 > 2107392 : 1890625 187.942406 [ 9 3 -4 -4 2 > 1672704 : 1500625 187.96215 [ -13 2 7 -1 -1 > 703125 : 630784 187.9651229 [ 36 -11 -7 -2 1 > 7.55914E+11 : 6.78141E+11 187.9848668 [ 14 -12 4 1 -2 > 71680000 : 64304361 188.0005103 [ -39 3 7 4 2 > 6.12818E+11 : 5.49756E+11 188.0911999 [ 8 5 -8 1 0 > 435456 : 390625 188.1387975 [ -16 6 5 -3 1 > 25059375 : 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189.9188436 [ 21 -3 -6 -2 1 > 23068672 : 20671875 189.9385876 [ -1 -4 5 1 -2 > 21875 : 19602 189.954231 [ -54 11 8 4 2 > 2.01035E+16 : 1.80144E+16 190.0449207 [ -7 13 -7 1 0 > 11160261 : 10000000 190.0676375 [ 20 -1 -10 3 -1 > 359661568 : 322265625 190.0925183 [ -31 14 6 -3 1 > 8.22073E+11 : 7.36587E+11 190.1152351 [ -4 0 3 -1 0 > 125 : 112 190.137952 [ 23 -14 0 1 -1 > 58720256 : 52612659 190.264029 [ -5 2 -1 4 -2 > 21609 : 19360 190.2918826 [ -7 4 1 -3 2 > 49005 : 43904 190.3145995 [ 20 -10 -2 -1 1 > 11534336 : 10333575 190.3343435 [ -2 -11 9 2 -2 > 95703125 : 85739148 190.4406765 [ -8 6 -3 2 0 > 35721 : 32000 190.4633934 [ 19 -8 -6 4 -1 > 1258815488 : 1127671875 190.4882741 [ -32 7 10 -2 1 > 2.34932E+11 : 2.10453E+11 190.510991 [ -5 -7 7 0 0 > 78125 : 69984 190.6016806 [ 42 -5 -8 -3 -2 > 4.39805E+12 : 3.93954E+12 190.6173241 [ -11 10 -5 0 2 > 7144929 : 6400000 190.637068 [ -33 9 6 3 -1 > 1.05489E+11 : 94489280512 190.6400409 [ 16 -4 -8 2 1 > 35323904 : 31640625 190.6876385 [ -8 -3 5 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17006112 : 13671875 377.8809936 [ 8 -1 1 -3 0 > 1280 : 1029 377.9037105 [ 35 -15 -2 -1 -1 > 34359738368 : 27621645975 377.9420708 [ 9 -14 -2 4 2 > 148746752 : 119574225 378.0070706 [ -20 15 0 0 -1 > 14348907 : 11534336 378.0297875 [ 7 1 -3 2 -2 > 18816 : 15125 378.0773851 [ -17 2 10 -2 -1 > 87890625 : 70647808 378.080358 [ 32 -11 -4 -3 1 > 47244640256 : 37975888125 378.1001019 [ 10 -12 7 0 -2 > 80000000 : 64304361 378.1157454 [ -43 3 10 3 2 > 1.09432E+13 : 8.79609E+12 378.206435 [ 4 5 -5 0 0 > 3888 : 3125 378.2291519 [ 31 -9 -8 2 -1 > 1.05227E+11 : 84575390625 378.2540326 [ -20 6 8 -4 1 > 3132421875 : 2517630976 378.2767495 [ 7 -8 5 -2 0 > 400000 : 321489 378.3830825 [ 1 9 -7 -2 2 > 4763286 : 3828125 378.4028265 [ -21 8 4 1 -1 > 28704375 : 23068672 378.4057994 [ 28 -5 -10 0 1 > 2952790016 : 2373046875 378.4255434 [ 6 -6 1 3 -2 > 109760 : 88209 378.453397 [ 4 -4 3 -4 2 > 242000 : 194481 378.579474 [ -24 12 2 -1 1 > 146146275 : 117440512 378.6021909 [ 3 -2 -1 1 0 > 56 : 45 378.6725053 [ 6 -15 9 -1 0 > 125000000 : 100442349 378.7282679 [ -25 14 -2 4 -1 > 11483908569 : 9227468800 378.763195 [ 53 -13 -6 -4 -2 > 9.0072E+15 : 7.23725E+15 378.7788384 [ 0 2 -3 -1 2 > 1089 : 875 378.7985824 [ -22 1 8 2 -1 > 57421875 : 46137344 378.8015553 [ 27 -12 -6 1 1 > 10334765056 : 8303765625 378.8212992 [ 5 -13 5 4 -2 > 240100000 : 192913083 378.8491529 [ 3 -11 7 -3 2 > 75625000 : 60761421 378.9276323 [ -1 4 -7 4 0 > 194481 : 156250 378.94736842 [6/19 0 0 0 0 > 6/19-edo (major-3rd) 378.9752299 [ -25 5 6 0 1 > 41765625 : 33554432 378.9979467 [ 2 -9 3 2 0 > 24500 : 19683 379.0659195 [ 22 7 -9 -3 -1 > 9172942848 : 7369140625 379.1042798 [ -4 8 -9 2 2 > 38900169 : 31250000 379.1745943 [ -1 -5 1 0 2 > 605 : 486 379.262311 [ -3 10 0 -2 -2 > 59049 : 47432 379.3006713 [ -29 11 0 3 1 > 668375631 : 536870912 379.3326254 [ 0 -3 10 -4 -2 > 9765625 : 7844067 379.3709858 [ -26 -2 10 1 1 > 751953125 : 603979776 379.4389585 [ -6 14 -2 -4 0 > 4782969 : 3841600 379.4616754 [ 21 0 -5 -2 -1 > 2097152 : 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380.2334432 [ 41 -13 -8 -3 2 > 2.66082E+14 : 2.13614E+14 380.2531871 [ 19 -14 3 0 -1 > 65536000 : 52612659 380.3595202 [ 13 3 -9 0 1 > 2433024 : 1953125 380.3792641 [ -9 2 2 3 -2 > 77175 : 61952 380.4071178 [ -11 4 4 -4 2 > 6125625 : 4917248 380.4298346 [ 16 -10 1 -2 1 > 3604480 : 2893401 380.4878049 [13/41 0 0 0 0 > 13/41-edo (~pythagorean diminished-4th; ~5-limit JI major-3rd [5:4]) 380.5559117 [ -12 6 0 1 0 > 5103 : 4096 380.5786285 [ 15 -8 -3 3 -1 > 11239424 : 9021375 380.6262261 [ -9 -7 10 -1 0 > 9765625 : 7838208 380.7169157 [ 38 -5 -5 -4 -2 > 2.74878E+11 : 2.20614E+11 380.7325592 [ -15 10 -2 -1 2 > 7144929 : 5734400 380.7523031 [ -37 9 9 2 -1 > 1.88372E+12 : 1.51183E+12 380.755276 [ 12 -4 -5 1 1 > 315392 : 253125 380.77502 [ -10 -5 6 4 -2 > 37515625 : 30108672 380.8028736 [ -12 -3 8 -3 2 > 47265625 : 37933056 380.8813531 [ -16 12 -6 4 0 > 1275989841 : 1024000000 380.9162801 [ 62 -15 -10 -4 -1 > 4.61169E+18 : 3.70087E+18 380.9289507 [ -40 13 7 0 1 > 1.37012E+12 : 1.09951E+12 380.9516675 [ -13 -1 4 2 0 > 30625 : 24576 380.9546404 [ 36 -14 -10 1 2 > 5.82054E+13 : 4.67087E+13 380.9743844 [ 14 -15 1 4 -1 > 196689920 : 157837977 381.0196403 [ 7 15 -8 -3 -1 > 1836660096 : 1473828125 381.1126716 [ 37 -12 -1 -3 -2 > 1.37439E+11 : 1.10282E+11 381.1283151 [ -16 3 2 0 2 > 81675 : 65536 381.1510319 [ 11 -11 -1 2 1 > 1103872 : 885735 381.3474234 [ -14 -8 8 3 0 > 133984375 : 107495424 381.4153962 [ 6 8 -4 -2 -1 > 419904 : 336875 381.438113 [ 33 -6 -7 0 -2 > 8589934592 : 6891328125 381.4537565 [ -20 9 -4 3 2 > 816903549 : 655360000 381.4857106 [ 9 -5 6 -4 -1 > 8000000 : 6417873 381.5240709 [ -17 -4 6 1 2 > 13234375 : 10616832 381.5920437 [ 3 12 -6 -4 1 > 46766808 : 37515625 381.6117876 [ -19 11 5 -1 -2 > 553584375 : 444071936 381.6147605 [ 30 -2 -9 -2 0 > 1073741824 : 861328125 381.650148 [ -45 12 5 4 1 > 4.38622E+13 : 3.51844E+13 381.685075 [ 33 -15 1 -4 0 > 42949672960 : 34451725707 381.7408376 [ 2 14 -10 1 -1 > 133923132 : 107421875 381.7884352 [ -22 15 3 -3 0 > 1793613375 : 1438646272 381.811152 [ 5 1 0 -1 -1 > 96 : 77 381.8181818 [7/22 0 0 0 0 > 7/22-edo 381.8338689 [ 32 -13 -3 1 -2 > 30064771072 : 24114135375 381.8495123 [ -21 2 0 4 2 > 2614689 : 2097152 381.8814665 [ 8 -12 10 -3 -1 > 2500000000 : 2005126893 381.9198268 [ -18 -11 10 2 2 > 57900390625 : 46438023168 381.9877996 [ 2 5 -2 -3 1 > 10692 : 8575 382.0075435 [ -20 4 9 0 -2 > 158203125 : 126877696 382.0105164 [ 29 -9 -5 -1 0 > 536870912 : 430565625 382.1365934 [ 1 7 -6 2 -1 > 214326 : 171875 382.1593103 [ 28 -7 -9 4 -2 > 6.44514E+11 : 5.1685E+11 382.184191 [ -23 8 7 -2 0 > 512578125 : 411041792 382.1871639 [ 26 -5 -7 -3 2 > 8120172544 : 6511640625 382.2069079 [ 4 -6 4 0 -1 > 10000 : 8019 382.313241 [ -2 11 -8 0 1 > 1948617 : 1562500 382.3329849 [ -24 10 3 3 -2 > 2531725875 : 2030043136 382.3608386 [ -26 12 5 -4 2 > 2.00951E+11 : 1.61128E+11 382.3835554 [ 1 -2 2 -2 1 > 550 : 441 382.5096324 [ -27 14 1 1 0 > 167403915 : 134217728 382.5323493 [ 0 0 -2 3 -1 > 343 : 275 382.5829198 [ 25 -12 -3 -2 2 > 4060086272 : 3255076125 382.6026638 [ 3 -13 8 1 -1 > 21875000 : 17537553 382.6706365 [ 23 3 -4 -4 -2 > 226492416 : 181575625 382.7089968 [ -3 4 -4 1 1 > 6237 : 5000 382.7287408 [ -25 3 7 4 -2 > 5064609375 : 4060086272 382.7317137 [ 24 -10 -7 3 0 > 5754585088 : 4613203125 382.7565944 [ -27 5 9 -3 2 > 57427734375 : 46036680704 382.7793113 [ 0 -9 6 -1 1 > 171875 : 137781 382.8700009 [ 47 -7 -9 -4 -1 > 1.40737E+14 : 1.12814E+14 382.9053883 [ -28 7 5 2 0 > 334884375 : 268435456 382.9083612 [ 21 -6 -9 1 2 > 1776287744 : 1423828125 382.9281052 [ -1 -7 2 4 -1 > 60025 : 48114 382.9960779 [ 19 9 -10 -1 -2 > 10319560704 : 8271484375 383.0344382 [ -7 10 -10 4 1 > 1559543139 : 1250000000 383.0663924 [ 22 -4 0 -3 -2 > 4194304 : 3361743 383.0820358 [ -31 11 3 0 2 > 2679348375 : 2147483648 383.1047527 [ -4 -3 0 2 1 > 539 : 432 383.2657568 [ 46 -14 -5 -3 -1 > 7.03687E+13 : 5.63942E+13 383.3011442 [ -29 0 9 3 0 > 669921875 : 536870912 383.3041171 [ 20 -13 -5 2 2 > 6217007104 : 4982259375 383.3918338 [ 18 2 -6 0 -2 > 2359296 : 1890625 383.4394314 [ -6 3 7 -4 -1 > 2109375 : 1690304 383.4621483 [ 21 -11 4 -2 -2 > 1310720000 : 1050304563 383.4777917 [ -32 4 7 1 2 > 5359921875 : 4294967296 383.5005086 [ -5 -10 4 3 1 > 2358125 : 1889568 383.5684813 [ 15 6 -8 -2 0 > 23887872 : 19140625 383.6387958 [ 18 -7 2 -4 0 > 6553600 : 5250987 383.7451289 [ 12 10 -10 -4 2 > 29265629184 : 23447265625 383.7648728 [ -10 9 1 -1 -1 > 98415 : 78848 383.7875897 [ 17 -5 -2 1 -2 > 917504 : 735075 383.8032331 [ -36 10 1 4 2 > 85774872645 : 68719476736 383.9415203 [ -13 13 -1 -3 1 > 17537553 : 14049280 383.9612643 [ -35 12 10 0 -2 > 5.18985E+12 : 4.15753E+12 383.9642372 [ 14 -1 -4 -1 0 > 16384 : 13125 383.9869541 [ 41 -15 -7 1 -1 > 1.53932E+13 : 1.23311E+13 384.0345517 [ 17 -14 6 -3 0 > 2048000000 : 1640558367 384.0903142 [ -14 15 -5 2 -1 > 703096443 : 563200000 384.1130311 [ 13 1 -8 4 -2 > 59006976 : 47265625 384.1408847 [ 11 3 -6 -3 2 > 6690816 : 5359375 384.1606287 [ -11 2 5 0 -1 > 28125 : 22528 384.1636016 [ 38 -11 -9 -1 1 > 3.02366E+12 : 2.42193E+12 384.1833456 [ 16 -12 2 2 -2 > 80281600 : 64304361 384.2896786 [ 10 5 -10 2 0 > 12192768 : 9765625 384.3372762 [ -14 6 3 -2 1 > 1002375 : 802816 384.3599931 [ 13 -8 0 0 0 > 8192 : 6561 3-limit pythagorean diminished-4th [3^-8] = schismatic-major-3rd 384.4860701 [ -15 8 -1 3 -1 > 2250423 : 1802240 384.5366406 [ 10 -4 -2 -2 2 > 123904 : 99225 384.5563846 [ -12 -5 9 1 -1 > 13671875 : 10948608 384.6243573 [ 8 11 -3 -4 -2 > 45349632 : 36315125 384.6627176 [ -18 12 -3 1 1 > 40920957 : 32768000 384.6824616 [ -40 11 8 4 -2 > 1.66145E+14 : 1.33041E+14 384.6854345 [ 9 -2 -6 3 0 > 175616 : 140625 384.7103152 [ -42 13 10 -3 2 > 1.88392E+15 : 1.50853E+15 384.7330321 [ -15 -1 7 -1 1 > 859375 : 688128 384.7557489 [ 12 -15 4 1 0 > 17920000 : 14348907 384.8237217 [ 32 1 -8 -4 -1 > 12884901888 : 10316796875 384.8591091 [ -43 15 6 2 0 > 1.09859E+13 : 8.79609E+12 384.862082 [ 6 2 -8 1 2 > 487872 : 390625 384.881826 [ -16 1 3 4 -1 > 900375 : 720896 384.90566038 [17/53 0 0 0 0 > 17/53-edo ([smallest] pythagorean diminished-4th = ~8192:6561 [3^-8]; [small] JI major-3rd = ~5:4) 384.9323965 [ 9 -11 2 -1 2 > 1548800 : 1240029 385.0201132 [ 7 4 1 -3 -2 > 51840 : 41503 385.0584735 [ -19 5 1 2 1 > 654885 : 524288 385.0811904 [ 8 -9 -2 4 0 > 614656 : 492075 385.2194776 [ 31 -6 -4 -3 -1 > 2147483648 : 1719073125 385.254865 [ -44 8 10 3 0 > 2.19768E+13 : 1.75922E+13 385.2578379 [ 5 -5 -4 2 2 > 189728 : 151875 385.3455546 [ 3 10 -5 0 -2 > 472392 : 378125 385.3931522 [ -21 11 8 -4 -1 > 69198046875 : 55387881472 385.4158691 [ 6 -3 5 -2 -2 > 200000 : 160083 385.4315125 [ -47 12 8 1 2 > 1.75832E+14 : 1.40737E+14 385.4542294 [ -20 -2 5 3 1 > 11790625 : 9437184 385.5222021 [ 0 14 -7 -2 0 > 4782969 : 3828125 385.544919 [ 27 0 -10 0 -1 > 134217728 : 107421875 385.5925166 [ 3 1 3 -4 0 > 3000 : 2401 385.6152334 [ 30 -13 0 -2 -1 > 1073741824 : 859340097 385.6535938 [ 4 -12 0 3 2 > 664048 : 531441 385.7413105 [ 2 3 -1 1 -2 > 756 : 605 385.791881 [ 27 -9 -2 -4 1 > 1476395008 : 1181472075 385.8116249 [ 5 -10 9 -1 -2 > 62500000 : 50014503 385.8499852 [ -21 -9 9 4 1 > 51583984375 : 41278242816 385.917958 [ -1 7 -3 -1 0 > 2187 : 1750 385.9406749 [ 26 -7 -6 1 -1 > 469762048 : 375890625 385.9882725 [ 2 -6 7 -3 0 > 312500 : 250047 386.0667519 [ -2 9 -7 4 -2 > 47258883 : 37812500 386.0946055 [ -4 11 -5 -3 2 > 21434787 : 17150000 386.1143495 [ -26 10 6 0 -1 > 922640625 : 738197504 386.1173224 [ 23 -3 -8 -1 1 > 92274688 : 73828125 386.1370663 [ 1 -4 3 2 -2 > 12250 : 9801 386.2433994 [ -5 13 -9 2 0 > 78121827 : 62500000 386.290997 [ -29 14 4 -2 1 > 32882911875 : 26306674688 386.3137139 [ -2 0 1 0 0 > 5 : 4 386.3364307 [ 25 -14 -2 2 -1 > 1644167168 : 1315316475 386.4903614 [ -5 4 -1 -2 2 > 9801 : 7840 386.5101053 [ -27 3 10 1 -1 > 1845703125 : 1476395008 386.5130783 [ 22 -10 -4 0 1 > 46137344 : 36905625 386.5328222 [ 0 -11 7 3 -2 > 26796875 : 21434787 386.5606758 [ -2 -9 9 -4 2 > 236328125 : 189035532 386.6391553 [ -6 6 -5 3 0 > 250047 : 200000 386.6867529 [ -30 7 8 -1 1 > 9397265625 : 7516192768 386.7094697 [ -3 -7 5 1 0 > 21875 : 17496 386.7774425 [ 17 9 -7 -4 -1 > 2579890176 : 2063359375 386.8001594 [ 44 -5 -10 -2 -2 > 1.75922E+13 : 1.40698E+13 386.8158028 [ -9 10 -7 1 2 > 50014503 : 40000000 386.8355468 [ -31 9 4 4 -1 > 29536801875 : 23622320128 386.8385197 [ 18 -4 -10 3 1 > 989069312 : 791015625 386.8861173 [ -6 -3 3 -1 2 > 15125 : 12096 386.973834 [ -8 12 2 -3 -2 > 13286025 : 10624768 387.0121943 [ -34 13 2 2 1 > 21483502425 : 17179869184 387.0349111 [ -7 -1 -1 4 0 > 2401 : 1920 387.09677419 [10/31 0 0 0 0 > 10/31-edo (major-3rd, ~5:4) 387.1052256 [ -4 -14 9 2 0 > 95703125 : 76527504 387.1731984 [ 16 2 -3 -3 -1 > 589824 : 471625 387.1959152 [ 43 -12 -6 -1 -2 > 8.79609E+12 : 7.03329E+12 387.2115587 [ -10 3 -3 2 2 > 160083 : 128000 387.2342755 [ 17 -11 -6 4 1 > 3461742592 : 2767921875 387.2818731 [ -7 -10 7 0 2 > 9453125 : 7558272 387.3695898 [ -9 5 6 -2 -2 > 3796875 : 3035648 387.3725628 [ 40 -8 -8 -3 0 > 1.09951E+12 : 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496.9891232 [ 9 -6 -5 2 2 > 3035648 : 2278125 497.0768399 [ 7 9 -6 0 -2 > 2519424 : 1890625 497.1244375 [ -17 10 7 -4 -1 > 4613203125 : 3461742592 497.1471543 [ 10 -4 4 -2 -2 > 640000 : 480249 497.1627978 [ -43 11 7 1 2 > 1.17221E+13 : 8.79609E+12 497.1855146 [ -16 -3 4 3 1 > 2358125 : 1769472 497.2534874 [ 4 13 -8 -2 0 > 25509168 : 19140625 497.3238019 [ 7 0 2 -4 0 > 3200 : 2401 497.3465187 [ 34 -14 -1 -2 -1 > 17179869184 : 12890101455 497.384879 [ 8 -13 -1 3 2 > 10624768 : 7971615 497.4725957 [ 6 2 -2 1 -2 > 4032 : 3025 497.5231662 [ 31 -10 -3 -4 1 > 23622320128 : 17722081125 497.5429102 [ 9 -11 8 -1 -2 > 200000000 : 150043509 497.5609756 [17/41 0 0 0 0 > 17/41-edo (~perfect-4th [4:3]) 497.5812705 [ -17 -10 8 4 1 > 10316796875 : 7739670528 497.6492433 [ 3 6 -4 -1 0 > 5832 : 4375 497.6719601 [ 30 -8 -7 1 -1 > 7516192768 : 5638359375 497.7195577 [ 6 -7 6 -3 0 > 1000000 : 750141 497.7980372 [ 2 8 -8 4 -2 > 63011844 : 47265625 497.8258908 [ 0 10 -6 -3 2 > 7144929 : 5359375 497.8456347 [ 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540.5327725 [ -26 11 9 -3 -1 > 3.4599E+11 : 2.53202E+11 540.5357454 [ 23 -2 -5 -4 1 > 92274688 : 67528125 540.5554894 [ 1 -3 6 -1 -2 > 31250 : 22869 540.5711328 [ -52 12 9 2 2 > 6.15413E+15 : 4.5036E+15 540.5938497 [ -25 -2 6 4 1 > 412671875 : 301989888 540.6618225 [ -5 14 -6 -1 0 > 4782969 : 3500000 540.6845393 [ 22 0 -9 1 -1 > 29360128 : 21484375 540.7321369 [ -2 1 4 -3 0 > 1875 : 1372 540.7351098 [ 47 -12 -10 -4 2 > 1.70292E+16 : 1.24608E+16 540.7548538 [ 25 -13 1 -1 -1 > 167772160 : 122762871 540.7932141 [ -1 -12 1 4 2 > 1452605 : 1062882 540.8809308 [ -3 3 0 2 -2 > 1323 : 968 540.9315013 [ 22 -9 -1 -3 1 > 46137344 : 33756345 540.9512453 [ 0 -10 10 0 -2 > 9765625 : 7144929 541.0575783 [ -6 7 -2 0 0 > 2187 : 1600 541.0802952 [ 21 -7 -5 2 -1 > 102760448 : 75178125 541.1278928 [ -3 -6 8 -2 0 > 390625 : 285768 541.2342259 [ -9 11 -4 -2 2 > 21434787 : 15680000 541.2539698 [ -31 10 7 1 -1 > 32292421875 : 23622320128 541.2569427 [ 18 -3 -7 0 1 > 2883584 : 2109375 541.2766867 [ -4 -4 4 3 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542.1134543 [ -13 12 3 -2 -2 > 66430125 : 48570368 542.1518146 [ -39 13 3 3 1 > 7.51923E+11 : 5.49756E+11 542.2448459 [ -9 -14 10 3 0 > 3349609375 : 2448880128 542.3128187 [ 11 2 -2 -2 -1 > 18432 : 13475 542.3355356 [ 38 -12 -5 0 -2 > 2.74878E+11 : 2.00951E+11 542.351179 [ -15 3 -2 3 2 > 1120581 : 819200 542.3831332 [ 14 -11 8 -4 -1 > 6400000000 : 4678629417 542.4214935 [ -12 -10 8 1 2 > 330859375 : 241864704 542.4894662 [ 8 6 -4 -4 1 > 2052864 : 1500625 542.5092102 [ -14 5 7 -1 -2 > 18984375 : 13877248 542.5121831 [ 35 -8 -7 -2 0 > 34359738368 : 25116328125 542.5475705 [ -40 6 7 4 1 > 1.50419E+12 : 1.09951E+12 542.6382601 [ 7 8 -8 1 -1 > 5878656 : 4296875 542.6858577 [ -17 9 5 -3 0 > 61509375 : 44957696 542.6888306 [ 32 -4 -9 -4 2 > 5.19691E+11 : 3.79846E+11 542.7085746 [ 10 -5 2 -1 -1 > 25600 : 18711 542.7469349 [ -16 -4 2 4 2 > 7263025 : 5308416 542.8149076 [ 4 12 -10 -1 1 > 93533616 : 68359375 542.8346516 [ -18 11 1 2 -2 > 43401015 : 31719424 542.8852221 [ 7 -1 0 -3 1 > 1408 : 1029 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1 -4 4 0 -1 > 1250 : 891 586.2232427 [ -5 13 -8 0 1 > 17537553 : 12500000 586.2429867 [ -27 12 3 3 -2 > 22785532875 : 16240345088 586.2708403 [ -29 14 5 -4 2 > 1.80856E+12 : 1.28903E+12 586.2935572 [ -2 0 2 -2 1 > 275 : 196 586.316274 [ 25 -14 -1 0 0 > 33554432 : 23914845 586.442351 [ -3 2 -2 3 -1 > 3087 : 2200 586.4929215 [ 22 -10 -3 -2 2 > 507510784 : 361675125 586.5126655 [ 0 -11 8 1 -1 > 2734375 : 1948617 586.5806383 [ 20 5 -4 -4 -2 > 254803968 : 181575625 586.6189986 [ -6 6 -4 1 1 > 56133 : 40000 586.6387425 [ -28 5 7 4 -2 > 45581484375 : 32480690176 586.6417154 [ 21 -8 -7 3 0 > 719323136 : 512578125 586.6665962 [ -30 7 9 -3 2 > 5.1685E+11 : 3.68293E+11 586.689313 [ -3 -7 6 -1 1 > 171875 : 122472 586.7800026 [ 44 -5 -9 -4 -1 > 1.75922E+13 : 1.25349E+13 586.8153901 [ -31 9 5 2 0 > 3013959375 : 2147483648 586.818363 [ 18 -4 -9 1 2 > 222035968 : 158203125 586.8381069 [ -4 -5 2 4 -1 > 60025 : 42768 586.9060797 [ 16 11 -10 -1 -2 > 11609505792 : 8271484375 586.94444 [ -10 12 -10 4 1 > 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-4 1 > 6.04731E+12 : 4.30647E+12 587.8062662 [ -9 -15 8 4 1 > 10316796875 : 7346640384 587.8515221 [ -16 15 -1 -3 1 > 157837977 : 112394240 587.871266 [ -38 14 10 0 -2 > 4.67087E+13 : 3.32602E+13 587.8742389 [ 11 1 -4 -1 0 > 6144 : 4375 587.8969558 [ 38 -13 -7 1 -1 > 1.92415E+12 : 1.37012E+12 587.9445534 [ 14 -12 6 -3 0 > 256000000 : 182284263 588.0230328 [ 10 3 -8 4 -2 > 66382848 : 47265625 588.0508865 [ 8 5 -6 -3 2 > 7527168 : 5359375 588.0706304 [ -14 4 5 0 -1 > 253125 : 180224 588.0736033 [ 35 -9 -9 -1 1 > 3.77957E+11 : 2.69104E+11 588.0933473 [ 13 -10 2 2 -2 > 10035200 : 7144929 588.1996803 [ 7 7 -10 2 0 > 13716864 : 9765625 588.2472779 [ -17 8 3 -2 1 > 9021375 : 6422528 588.2699948 [ 10 -6 0 0 0 > 1024 : 729 3-limit pythagorean diminished-5th [3^-6] 588.3960718 [ -18 10 -1 3 -1 > 20253807 : 14417920 588.4466423 [ 7 -2 -2 -2 2 > 15488 : 11025 588.4663863 [ -15 -3 9 1 -1 > 13671875 : 9732096 588.5169568 [ 10 -15 8 -4 2 > 48400000000 : 34451725707 588.534359 [ 5 13 -3 -4 -2 > 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590.8838357 [ -11 14 2 -3 -2 > 119574225 : 84998144 590.922196 [ -37 15 2 2 1 > 1.93352E+11 : 1.37439E+11 590.9449129 [ -10 1 -1 4 0 > 7203 : 5120 591.0152273 [ -7 -12 9 2 0 > 95703125 : 68024448 591.0832001 [ 13 4 -3 -3 -1 > 663552 : 471625 591.105917 [ 40 -10 -6 -1 -2 > 1.09951E+12 : 7.81477E+11 591.1215604 [ -13 5 -3 2 2 > 1440747 : 1024000 591.1442773 [ 14 -9 -6 4 1 > 432717824 : 307546875 591.1918749 [ -10 -8 7 0 2 > 9453125 : 6718464 591.2795916 [ -12 7 6 -2 -2 > 34171875 : 24285184 591.2825645 [ 37 -6 -8 -3 0 > 1.37439E+11 : 97674609375 591.3179519 [ -38 8 6 3 1 > 3.86791E+11 : 2.74878E+11 591.4086415 [ 9 10 -9 0 -1 > 30233088 : 21484375 591.4562391 [ -15 11 4 -4 0 > 110716875 : 78675968 591.478956 [ 12 -3 1 -2 -1 > 20480 : 14553 591.5173163 [ -14 -2 1 3 2 > 207515 : 147456 591.605033 [ -16 13 0 1 -2 > 11160261 : 7929856 591.6556035 [ 9 1 -1 -4 1 > 16896 : 12005 591.6753474 [ -13 0 10 -1 -2 > 9765625 : 6938624 591.6783204 [ 36 -13 -4 -2 0 > 68719476736 : 48826141875 591.7137078 [ -39 1 10 4 1 > 7.7376E+11 : 5.49756E+11 591.8043974 [ 8 3 -5 1 -1 > 48384 : 34375 591.8271142 [ 35 -11 -8 3 -2 > 1.17854E+13 : 8.37296E+12 591.851995 [ -16 4 8 -3 0 > 31640625 : 22478848 591.8549679 [ 33 -9 -6 -4 2 > 1.03938E+12 : 7.3842E+11 591.8747118 [ 11 -10 5 -1 -1 > 6400000 : 4546773 591.9130721 [ -15 -9 5 4 2 > 907878125 : 644972544 591.9810449 [ 5 7 -7 -1 1 > 769824 : 546875 592.0007889 [ -17 6 4 2 -2 > 22325625 : 15859712 592.0037618 [ 32 -7 -10 1 0 > 30064771072 : 21357421875 592.0513594 [ 8 -6 3 -3 1 > 352000 : 250047 592.1774364 [ -20 10 2 0 0 > 1476225 : 1048576 592.2001532 [ 7 -4 -1 2 -1 > 6272 : 4455 592.3540839 [ -23 14 0 -2 2 > 578739249 : 411041792 592.3768008 [ 4 0 -3 0 1 > 176 : 125 592.3965447 [ -18 -1 8 3 -2 > 133984375 : 95158272 592.3995176 [ 31 -14 -6 2 0 > 1.05227E+11 : 74733890625 592.4243984 [ -20 1 10 -4 2 > 3544921875 : 2517630976 592.4471152 [ 7 -13 7 -2 1 > 110000000 : 78121827 592.5731923 [ -21 3 6 1 0 > 2953125 : 2097152 592.5761652 [ 28 -10 -8 0 2 > 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