121/120

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Interval information
Ratio 121/120
Factorization 2-3 × 3-1 × 5-1 × 112
Monzo [-3 -1 -1 0 2
Size in cents 14.36717¢
Names biyatisma,
undecimal seconds comma
Color name 1oog1, Lologu comma
FJS name [math]\text{d1}^{11,11}_{5}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 n⋅d) 13.8258
Weil height (max(n, d)) 121
Benedetti height (n⋅d) 14520
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~3.16917 bits
Comma size small
S-expression S11
open this interval in xen-calc

In just intonation, 121/120, otherwise known as the biyatisma, or undecimal seconds comma, is a superparticular interval of around 14.4¢ which makes the difference between two undecimal neutral seconds of 11/10 and 12/11. Equal temperaments in which 121/120 is tempered out include 15, 22, 29, 31, 46, 53 and others; in such systems, 11/10 and 12/11 are equated. This is in contrast to the more familiar tempering out of 81/80, which results in meantone and other temperaments, in which 10/9 is equated with 9/8. Along with being the difference between 11/10 and 12/11, 121/120 is the difference between 11/8 and 15/11, so that tempering out 121/120 allows for the dyadic triad which has intervals of 11/8, 11/8, and 16/15 (biyatismic chords).

See also