Primate comma

Interval information

Ratio	16384/15309
Factorization	214 × 3-7 × 7-1
Monzo	[14 -7 0 -1⟩
Size in cents	117.4891¢
Name	primate comma
Color name	sr2, saru 2nd, Saru comma
FJS name	[math]\text{m2}_{7}[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	27.9021
Weil height (log2 max(n, d))	28
Wilson height (sopfr(nd))	56
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.26705 bits
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The primate comma is a 7-limit interval, 117.5 cents in size, with frequency ratio of 16384/15309. It is the difference between 8/7 (septimal major second) and 2187/2048 (apotome, Pythagorean chroma).

Etymology

The word primate for this interval was introduced by Xenllium in 2023. It was translated from Japanese word 猿 (さる, saru), a play of its color name, saru (as the identical pronunciation).

See also

• Large comma