25ed7: Difference between revisions
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'''[[Ed7|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents. | '''[[Ed7|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 12.7773 cents stretched and the step size is about 134.7530 cents. | ||
== Intervals == | == Intervals == | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 25ed7 | |||
|- | |- | ||
! | degree | ! | degree | ||
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| | [[7/4|harmonic seventh]] plus two octaves | | | [[7/4|harmonic seventh]] plus two octaves | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal|25|7|1|intervals=prime}} | |||
{{Harmonics in equal|25|7|1|intervals=prime|collapsed=1|start=12}} | |||
==25ed7 as a generator== | ==25ed7 as a generator== | ||
25ed7 can also be thought of as a [[generator]] of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a [[cluster temperament]] with nine clusters of notes in an octave. This temperament is supported by [[9edo]], [[71edo]] (using 71d val), [[80edo]], and [[89edo]] among others. | 25ed7 can also be thought of as a [[generator]] of the 23-limit temperament which tempers out 169/168, 176/175, 208/207, 221/220, 247/245, 256/255, and 361/360, which is a [[cluster temperament]] with nine clusters of notes in an octave. This temperament is supported by [[9edo]], [[71edo]] (using 71d val), [[80edo]], and [[89edo]] among others. | ||
{{todo|expand}} | |||
[[Category:Ed7]] | [[Category:Ed7]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] |