81/77

Interval information

Ratio	81/77
Factorization	34 × 7-1 × 11-1
Monzo	[0 4 0 -1 -1⟩
Size in cents	87.67615¢
Name	Novel semitone
FJS name	[math]\displaystyle{ \text{A1}_{7,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	12.6066
Weil height (log2 max(n, d))	12.6797
Wilson height (sopfr(nd))	30
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.31323 bits
Open this interval in xen-calc

81/77, the novel semitone, is an 11-limit interval. It is the interval between 9/7 and 11/9, and is equated to the limma (256/243) in 2.3.7.11 subgroup gary temperament. It is especially close to 41edo's diatonic minor second (and octacot generator) of 3\41, differing only by 0.13 cents.

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