81/76
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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]\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
| Interval information |
Inu comma
(Shannon, [math]\sqrt{nd}[/math])
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
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.