131072/130321

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Interval information
Ratio 131072/130321
Subgroup monzo 2.19 [17 -4
Size in cents 9.9479355¢
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

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.