131072/130321

From Xenharmonic Wiki
Revision as of 18:26, 21 November 2024 by Unque (talk | contribs) (Created page with "{{Infobox Interval|Ratio=131072/130321|Name=Undecivesimal Diminished Comma}} 131072/130321, known as the Undevicesimal Diminished Comma, <!-- The name "Undevicesimal Diminish...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
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
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.

Retrieved from "https://en.xen.wiki/index.php?title=131072/130321&oldid=167170"