131072/130321: Difference between revisions

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Created page with "{{Infobox Interval|Ratio=131072/130321|Name=Undecivesimal Diminished Comma}} 131072/130321, known as the Undevicesimal Diminished Comma, <!-- The name "Undevicesimal Diminish..."
 
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m Comma=yes, bold, add category
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{{Infobox Interval|Ratio=131072/130321|Name=Undecivesimal Diminished Comma}}
{{Infobox Interval|Ratio=131072/130321|Name=Undecivesimal Diminished Comma|Comma=yes}}


131072/130321, known as the Undevicesimal Diminished Comma, <!-- The name "Undevicesimal Diminished Comma" is a placeholder until a reasonable name can be coined. -->is a [[19-limit]] small comma that marks the difference between four [[19/16]] minor thirds and the [[2/1|octave]].  This comma can be used in various subgroups to generate highly accurate quarter-octave period temperaments.
'''131072/130321''', known as the '''Undevicesimal Diminished Comma''', <!-- The name "Undevicesimal Diminished Comma" is a placeholder until a reasonable name can be coined. -->is a [[19-limit]] small comma that marks the difference between four [[19/16]] minor thirds and the [[2/1|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 [[8edo|8]], [[12edo|12]], [[16edo|16]], [[20edo|20]], [[32edo|32]], [[80edo|80]], and [[92edo|92]].
Equal temperaments that temper out this comma in the 19-limit include [[8edo|8]], [[12edo|12]], [[16edo|16]], [[20edo|20]], [[32edo|32]], [[80edo|80]], and [[92edo|92]].
[[Category:Commas with placeholder names]]

Revision as of 10:47, 22 November 2024

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 norm (log2 nd) 33.9917
Weil norm (log2 max(n, d)) 34
Wilson norm (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.