131072/130321: Difference between revisions

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{{Infobox Interval|Ratio=131072/130321|Name=~~Undecivesimal Diminished~~ Comma}}

{{Infobox Interval

| Ratio = 131072/130321

| Name = Undevicesimal diminished comma, Hunt 19-cycle comma

| Color name = s19u<sup>4</sup>-2, Saquadnu comma

| Comma = yes

}}

'''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 [[2/1|octave]], or between four Boethius commas ([[513/512]]) and a [[Pythagorean comma]]. This comma can be used in various subgroups to generate highly accurate quarter-octave period temperaments.

~~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 [[2/1~~|~~octave~~]]~~. This comma can be used in various subgroups to generate highly accurate quarter-octave period temperaments~~.

It is tempered out by any edo divisible by 4 up to [[240edo|240]].

~~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]]

[[Category:Commas named systematically]]

@@ Line 1: / Line 1: @@
-{{Infobox Interval|Ratio=131072/130321|Name=Undecivesimal Diminished Comma}}
+{{Infobox Interval
+| Ratio = 131072/130321
+| Name = Undevicesimal diminished comma, Hunt 19-cycle comma
+| Color name = s19u<sup>4</sup>-2, Saquadnu comma
+| Comma = yes
+}}
+'''131072/130321''', known as the '''undevicesimal diminished comma'''<!-- This is a placeholder until a reasonable name is coined. -->, is a [[19-limit]] small comma that marks the difference between four [[19/16]] minor thirds and the [[2/1|octave]], or between four Boethius commas ([[513/512]]) and a [[Pythagorean comma]]. This comma can be used in various subgroups to generate highly accurate quarter-octave period temperaments.
-/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.
+It is tempered out by any edo divisible by 4 up to [[240edo|240]].
-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]] <!-- for "undevicesimal diminished comma" -->
+[[Category:Commas named systematically]] <!-- for "Hunt 19-cycle comma" -->