81/76

Interval information

Ratio	81/76
Subgroup monzo	2.3.19 [-2 4 -1⟩
Size in cents	110.307¢
Name	dog comma
Color name	19u1, inu 1sn, Inu comma
FJS name	[math]\displaystyle{ \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]\displaystyle{ \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 犬 (いぬ, inu), a play of its color name, inu (as the identical pronunciation).

Temperaments

See also: No-fives subgroup temperaments § Dog

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

• Large comma