131072/130321
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Ratio
131072/130321
Subgroup monzo
2.19 [17 -4⟩
Size in cents
9.947935¢
Names
Undecivesimal Diminished Comma,
Hunt 19-cycle comma
FJS name
[math]\text{d}{-2}_{19,19,19,19}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
33.9917
Weil height (log2 max(n, d))
34
Wilson height (sopfr(nd))
110
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.07049 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Hunt 19-cycle comma
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
131072/130321, known as the Undevicesimal Diminished Comma, is a 19-limit small comma that marks the difference between four 19/16 minor thirds and the octave. This comma can be used in various subgroups to generate highly accurate quarter-octave period temperaments.
Equal temperaments that temper out this comma in the 19-limit include 8, 12, 16, 20, 32, 80, and 92.