Primate comma

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Interval information
Ratio 16384/15309
Factorization 214 × 3-7 × 7-1
Monzo [14 -7 0 -1
Size in cents 117.48909¢
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
open this interval in xen-calc

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 (さる, saru), a play of its color name, saru (as the identical pronunciation).

See also