121/120
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Ratio | 121/120 |
Factorization | 2^{-3} × 3^{-1} × 5^{-1} × 11^{2} |
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 (log_{2} 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
- Biyatismic chords
- Rank-4 temperament #Biyatismic (121/120)
- Biyatismic clan, the clan of rank-3 temperaments where it is tempered out
- Small comma
- List of superparticular intervals