81/76

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Interval information
Ratio 81/76
Subgroup monzo 2.3.19 [-2 4 -1
Size in cents 110.30699¢
Name dog comma
Color name 19u1, inu 1sn,
Inu comma
FJS name [math]\text{A1}_{19}[/math]
Special properties reduced
Tenney height (log2 nd) 12.5878
Weil height (log2 max(n, d)) 12.6797
Wilson height (sopfr(nd)) 35
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.27624 bits
open this interval in xen-calc

81/76, the dog comma is a 19-limit interval, 110.3 cents in size. It is the difference between 19/16 (otonal minor third) and 81/64 (Pythagorean major third) and thus is 81/80 larger than 20/19.

Etymology

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

Temperaments

Tempering this interval leads to a 2.3.19 version of mavila where four mavila fifths yields 19/16, so is potentially of relevance in 16edo if one wants to interpret its fifth as a 27 ¢ flat ~3/2.

See also