159edo: Difference between revisions

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{{ED intro}} The step size of this system is in between the sizes of [[243/242]] (the rastma) and [[225/224]] (the marvel comma).

~~== Theory ==~~

== History ==

~~A salient fact about 159edo is that {{nowrap| 159 {{=}} 3 × 53 }}, and thus, this system has both [[3edo]] and [[53edo]] as subsets—the former subset being shared with [[12edo]].~~

=== History ===

Despite being none other than the tripled superset of the famous 53edo, and hence, one would think, fairly easy to find, it is a wonder that the first person to show theoretical interest in it was [[Ozan Yarman]]—specifically in terms of extracting a voluminous subset for representing maqamat—in late 2005 to early 2006.

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Accordingly, it is no coincidence that [https://en.xen.wiki/index.php?title=159edo&type=revision&diff=5153&oldid=5154 the first records of 159edo on this Wiki from the days of Wikispaces] concern said 79-tone subset related to the [[Turkish maqam music temperaments|yarman]] temperament which had been proposed by Yarman as a tuning standard for [[Arabic, Turkish, Persian music|Arabic, Turkish and Persian music]]. Based on the information given by Ozan Yarman himself, his elder colleague [[M. Ugur Kececioglu]] first utilized 159edo in his revamped 2011 release of the [[Notist]] score editor and therein allowed the Arel-Ezgi-Uzdilek (AEU) accidentals to be bent by as little a detail as 1/3 of a single step of 53edo, while also mapping AEU altogether to a suitable subset of 53edo to allow transpositions throughout.

== Theory ==

A salient fact about 159edo is that {{nowrap| 159 {{=}} 3 × 53 }}, and thus, this system has both [[3edo]] and [[53edo]] as subsets—the former subset being shared with [[12edo]].

=== Mappings and JI approximation quality ===

@@ Line 8: / Line 8: @@
 {{ED intro}} The step size of this system is in between the sizes of [[243/242]] (the rastma) and [[225/224]] (the marvel comma).
-== Theory ==
+== History ==
-A salient fact about 159edo is that {{nowrap| 159 {{=}} 3 × 53 }}, and thus, this system has both [[3edo]] and [[53edo]] as subsets—the former subset being shared with [[12edo]].
-=== History ===
 Despite being none other than the tripled superset of the famous 53edo, and hence, one would think, fairly easy to find, it is a wonder that the first person to show theoretical interest in it was [[Ozan Yarman]]—specifically in terms of extracting a voluminous subset for representing maqamat—in late 2005 to early 2006.
@@ Line 19: / Line 16: @@
 Accordingly, it is no coincidence that [https://en.xen.wiki/index.php?title=159edo&type=revision&diff=5153&oldid=5154 the first records of 159edo on this Wiki from the days of Wikispaces] concern said 79-tone subset related to the [[Turkish maqam music temperaments|yarman]] temperament which had been proposed by Yarman as a tuning standard for [[Arabic, Turkish, Persian music|Arabic, Turkish and Persian music]]. Based on the information given by Ozan Yarman himself, his elder colleague [[M. Ugur Kececioglu]] first utilized 159edo in his revamped 2011 release of the [[Notist]] score editor and therein allowed the Arel-Ezgi-Uzdilek (AEU) accidentals to be bent by as little a detail as 1/3 of a single step of 53edo, while also mapping AEU altogether to a suitable subset of 53edo to allow transpositions throughout.
+== Theory ==
+A salient fact about 159edo is that {{nowrap| 159 {{=}} 3 × 53 }}, and thus, this system has both [[3edo]] and [[53edo]] as subsets—the former subset being shared with [[12edo]].
 === Mappings and JI approximation quality ===