An interval of 384 cents [¢] (8192/6561) produced by tuning 8 Fifths down from the tonic and five octaves upwards. It may be spelled as Fb in the key of C.
It differs from the Major Third of Just Intonation, 5/4 (386¢), by the Skhisma, an interval of about 2¢.
The definition above describes the 2,3-monzo of the skhismic-3rd, which is [13 -8, >; the exponent of prime-factor 2 (= 5) is derived from adding the exponents of 2 occuring from both the subtraction of 8 "5ths" (giving 28) and the addition of 5 octaves (25), thus, 2(8+5) = 213. Using vector addition, the skhisma difference is calculated thus:
2,3,5-monzo ratio ~cents | -2 0, 1 > 5 / 4 386.3137139 - | 13 -8, 0 > 8192 / 6561 384.3599931 ------------ |-15 8, 1 > 32805 / 32768 1.953720788
Below is a Monzo lattice illustrating the "skhismic major-3rd":
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