131072/130321

Revision as of 10:47, 22 November 2024 by BudjarnLambeth (talk | contribs) (Comma=yes, bold, add category)
Interval information
Ratio 131072/130321
Subgroup monzo 2.19 [17 -4
Size in cents 9.947935¢
Name Undecivesimal Diminished Comma
FJS name [math]\displaystyle{ \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
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.