77/76
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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]\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]\sqrt{nd}[/math])
~4.05464 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Nulozo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.