25ed7: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[Ed7|Division of the 7th harmonic]] into 25 equal parts''' (25ed7) is related to [[9edo|9 edo]], 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.


{| class="wikitable"
== Intervals ==
{| 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.


[[Category:Ed7]]
{{todo|expand}}
[[Category:Edonoi]]