81/76
Jump to navigation
Jump to search
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 (log_{2} nd) | 12.5878 |
Weil height (log_{2} 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 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.