magic
[Joe Monzo]
A family of musical temperament tunings.
. . . . . . . . .
| family name: |
magic, 19&22 |
| period: |
octave |
| generator: |
flat major third |
5-limit
| name: |
magic, 19&22 |
| comma: |
3125/3072 ratio = 2,3,5-monzo |-10 -1, 5> "magic comma" |
| mapping: |
[<1 0 2|, <0 5 1|] |
| poptimal generator: |
19/60-edo |
| TOP period: |
1201.276744 cents |
| TOP generator: |
380.795718 cents |
| MOS cardinalities: |
7, 10, 13, 16, 19, 22, 41, 60 |
Below are Tonescape® Lattices of the 5-limit versions.
7-limit
| name: |
magic, 19&22 |
| wedgie: |
<<5 1 12 -10 5 25|| |
| mapping: |
[<1 0 2 -1|, <0 5 1 12|] |
| 7-limit poptimal generator: |
13/41-edo |
| 9-limit poptimal generator: |
71/224-edo |
| TOP period: |
1201.276744 cents |
| TOP generator: |
380.795718 cents |
| TM basis: |
{225/224, 245/243} ratios |
| MOS cardinalities: |
7, 10, 13, 16, 19, 22, 41 |
| name: |
muggles 16&19 |
| wedgie: |
<<5 1 -7 -10 -25 -19|| |
| mapping: |
[<1 0 2 5|, <0 5 1 -7|] |
| 7-limit poptimal generator: |
62/197-edo |
| 9-limit poptimal generator: |
53/168-edo |
| TOP period: |
1203.148010 cents |
| TOP generator: |
379.393104 cents |
| TM basis: |
{126/125, 525/512} ratios |
| MOS cardinalities: |
7, 10, 13, 16, 19, 35, 54 |
| name: |
witch |
| wedgie: |
<<5 1 9 -10 0 18|| |
| mapping: |
[<1 0 2 0|, <0 5 1 9|] |
| 7-limit poptimal generator: |
39/125-edo |
| 9-limit poptimal generator: |
6/19-edo |
| TOP period: |
1193.274911 cents |
| TOP generator: |
377.328028 cents |
| TM basis: |
{36/35, 1875/1792} ratios |
| MOS cardinalities: |
7, 10, 13, 16, 19 |
11 limit
| name: |
magic, 19&22 |
| wedgie: |
<<5 1 12 -8 -10 5 -30 25 -22 -64|| |
| mapping: |
[<1 0 2 -1 6|, <0 5 1 12 -8|] |
| poptimal generator: |
33/104-edo |
| TOP period: |
1200.749423 cents |
| TOP generator: |
380.922404 cents |
| TM basis: |
{100/99, 225/224, 245/243} ratios |
| MOS cardinalities: |
7, 10, 13, 16, 19, 22, 41, 63, 104 |
. . . . . . . . .
