77/76

Interval information

Ratio	77/76
Factorization	2-2 × 7 × 11 × 19-1
Monzo	[-2 0 0 1 1 0 0 -1⟩
Size in cents	22.63083¢
Name	small undevicesimal 1/9-tone
Color name	19u1oz1, nulozo 1sn, Nulozo comma
FJS name	[math]\displaystyle{ \text{P1}^{7,11}_{19} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	12.5147
Weil height (log2 max(n, d))	12.5336
Wilson height (sopfr(nd))	41
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.05464 bits
Comma size	small
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77/76 is a superparticular interval of about 22.6¢ which makes the difference between 8/7 and 22/19 in 19-limit just intonation; it is also the difference between 11/8 and 19/14.

Temperaments

It is close to one step of 53edo, and the comma associating it with 1\53 is tempered out in notable high-prime-limit systems like 159edo and 742edo.

See also

• Small comma
• List of superparticular intervals