121/120

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 1sn, Lologu comma
FJS name	[math]\displaystyle{ \text{d1}^{11,11}_{5} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	13.8258
Weil height (log2 max(n, d))	13.8377
Wilson height (sopfr(nd))	36
Comma size	small
S-expression	S11
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In just intonation, 121/120, otherwise known as the biyatisma, or undecimal seconds comma, is a superparticular interval of around 14.4 cents which makes the difference between two undecimal neutral seconds of 11/10 and 12/11, as well as between 11/8 and 15/11.

Temperaments

Tempering out this comma in the 11-limit gives the rank-4 biyatismic temperament (→ Rank-4 temperament #Biyatismic (121/120)). Tempering it out in the 2.3.5.11 subgroup gives the rank-3 protomere temperament. See biyatismic clan for extensions of protomere. In such systems, 11/10 and 12/11 are equated, enabling biyatismic chords. 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. Equal temperaments in which 121/120 is tempered out include 15, 22, 29, 31, 46, 53 and others.

See also

• Small comma
• List of superparticular intervals