130edo: Difference between revisions

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~~The '''~~130 equal divisions of the octave''' ('''130edo'''), or the '''130(-tone) equal temperament''' ('''130tet''', '''130et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 130 parts of size about 9.23 [[cent]]s each.

== Theory ==

130edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischis]]. It also can be used to tune the rank-three temperament [[jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic family #Sesquiquartififths|sesquart]] and 13-limit [[~~Breedsmic temperaments #Harry|~~harry]].

130edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischis]]. It also can be used to tune the rank-three temperament [[jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic family #Sesquiquartififths|sesquart]] and 13-limit [[harry]].

=== Prime harmonics ===

=== ~~Divisors~~ ===

=== Subsets and supersets ===

Since 130 factors into 2 × 5 × 13, 130edo has subset edos {{EDOs| 2, 5, 10, 13, 26, and 65 }}.

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== Music ==

* [https://www.archive.org/details/TheParadiseOfCantor The Paradise of Cantor] [https://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] ~~by [[Gene Ward Smith]]~~

; [[Gene Ward Smith]]

* [https://www.archive.org/details/TheParadiseOfCantor ''The Paradise of Cantor''] [https://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] (2006)

~~[[Category:130edo|130edo]] ~~

~~[[Category:Equal divisions of the octave|###]] ~~

[[Category:Harry]]

[[Category:Hemischis]]

[[Category:Hemiwürschmidt]]

[[Category:Sesquiquartififths]]

~~[[Category:Zeta]]~~

[[Category:Listen]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
+{{EDO intro|130}}
-The '''130 equal divisions of the octave''' ('''130edo'''), or the '''130(-tone) equal temperament''' ('''130tet''', '''130et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 130 parts of size about 9.23 [[cent]]s each.
 == Theory ==
-edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischis]]. It also can be used to tune the rank-three temperament [[jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic family #Sesquiquartififths|sesquart]] and 13-limit [[Breedsmic temperaments #Harry|harry]].
+edo is a [[zeta peak edo]], a [[zeta peak integer edo]], and a [[zeta integral edo]] but not a gap edo. It can be used to tune a variety of temperaments, including [[hemiwürschmidt]], [[sesquiquartififths]], [[harry]] and [[hemischis]]. It also can be used to tune the rank-three temperament [[jove]], tempering out [[243/242]] and [[441/440]], plus [[364/363]] for the 13-limit and [[595/594]] for the 17-limit. It gives the [[optimal patent val]] for 11-limit [[hemiwürschmidt]] and [[Schismatic family #Sesquiquartififths|sesquart]] and 13-limit [[harry]].
 === Prime harmonics ===
 {{Harmonics in equal|130|columns=11}}
-=== Divisors ===
+=== Subsets and supersets ===
 Since 130 factors into 2 × 5 × 13, 130edo has subset edos {{EDOs| 2, 5, 10, 13, 26, and 65 }}.
@@ Line 529: / Line 528: @@
 == Music ==
 {{See also|:Category:130edo tracks}}
-* [https://www.archive.org/details/TheParadiseOfCantor The Paradise of Cantor] [https://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] by [[Gene Ward Smith]]
+; [[Gene Ward Smith]]
+* [https://www.archive.org/details/TheParadiseOfCantor ''The Paradise of Cantor''] [https://www.archive.org/download/TheParadiseOfCantor/cantor.mp3 play] (2006)
-[[Category:130edo|130edo]] <!-- main article -->
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Harry]]
 [[Category:Hemischis]]
 [[Category:Hemiwürschmidt]]
 [[Category:Sesquiquartififths]]
-[[Category:Zeta]]
 [[Category:Listen]]