72edo: Difference between revisions

Line 7:

The '''72 equal divisions of the octave''' ('''72edo'''), or '''72-tone equal temperament''' ('''72tet''', '''72et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 72 steps or ''[[moria]]''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in [[12edo]]. 72edo is also a superset of [[24edo]], a common and standard tuning of [[Arabic, Turkish, Persian|Arabic]] ~~music~~, and has itself been used to tune Turkish music.

The '''72 equal divisions of the octave''' ('''72edo'''), or '''72-tone equal temperament''' ('''72tet''', '''72et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 72 steps or ''[[Morion|moria]]''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in [[12edo]]. 72edo is also a superset of [[24edo]], a common and standard tuning of [[Arabic, Turkish, Persian music|Arabic music]], and has itself been used to tune Turkish music.

Composers that used 72edo include [[Ivan Wyschnegradsky]], [[Julián Carrillo]] (who is better associated with [[96edo]]), [[Ezra Sims]], [[James Tenney]], [[Georg Friedrich Haas]] and the jazz musician [[Joe Maneri]].

Line 22:

=== Prime harmonics ===

=== Subsets and supersets ===

Since 72 factors into 2<sup>3</sup> × 3<sup>2</sup>, 72edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36 }}. [[144edo]], which doubles it, provides a possible correction to its approximate harmonic 13.

== Intervals ==

Line 1,336:

Line 1,339:

[[Category:Listen]]

~~[[Category:Moria]]~~

[[Category:Marvel]]

[[Category:Miracle]]

[[Category:Prodigy]]

[[Category:Wizard]]

@@ Line 7: / Line 7: @@
 {{Infobox ET}}
 {{Wikipedia|72 equal temperament}}
-The '''72 equal divisions of the octave''' ('''72edo'''), or '''72-tone equal temperament''' ('''72tet''', '''72et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 72 steps or ''[[moria]]''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in [[12edo]]. 72edo is also a superset of [[24edo]], a common and standard tuning of [[Arabic, Turkish, Persian|Arabic]] music, and has itself been used to tune Turkish music.
+The '''72 equal divisions of the octave''' ('''72edo'''), or '''72-tone equal temperament''' ('''72tet''', '''72et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 72 steps or ''[[Morion|moria]]''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in [[12edo]]. 72edo is also a superset of [[24edo]], a common and standard tuning of [[Arabic, Turkish, Persian music|Arabic music]], and has itself been used to tune Turkish music.
 Composers that used 72edo include [[Ivan Wyschnegradsky]], [[Julián Carrillo]] (who is better associated with [[96edo]]), [[Ezra Sims]], [[James Tenney]], [[Georg Friedrich Haas]] and the jazz musician [[Joe Maneri]].
@@ Line 22: / Line 22: @@
 === Prime harmonics ===
 {{Harmonics in equal|72|columns=11}}
+=== Subsets and supersets ===
+Since 72 factors into 2<sup>3</sup> × 3<sup>2</sup>, 72edo has subset edos {{EDOs| 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36 }}. [[144edo]], which doubles it, provides a possible correction to its approximate harmonic 13.
 == Intervals ==
@@ Line 1,336: / Line 1,339: @@
 [[Category:Listen]]
-[[Category:Moria]]
 [[Category:Marvel]]
 [[Category:Miracle]]
 [[Category:Prodigy]]
 [[Category:Wizard]]