34ed7: Difference between revisions

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'''[[Ed7|Division of the 7th harmonic]] into 34 equal parts''' (34ED7) is related to [[12edo|12 EDO]], but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 99.0831 cents~~. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit|10-integer-limit]]~~.

'''[[Ed7|Division of the 7th harmonic]] into 34 equal parts''' (34ED7) is related to [[12edo|12 EDO]], but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 99.0831 cents.

{| class="wikitable"

34ED7 is consistent to the 11-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-[[integer-limit]].

== Intervals ==

{| class="wikitable mw-collapsible"

|+ Intervals of 34ed7

|-

! | degree

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| | [[7/4|harmonic seventh]] plus two octaves

|}

== Harmonics ==

{{Harmonics in equal|34|7|1|intervals=prime|collapsed=1|start=12}}

== Regular temperaments ==

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* [[18/17s equal temperament|AS18/17]] - relative [[AS|ambitonal sequence]]

[[Category:Ed7]]

[[Category:Edonoi]]

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 {{Infobox ET}}
-'''[[Ed7|Division of the 7th harmonic]] into 34 equal parts''' (34ED7) is related to [[12edo|12 EDO]], but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 99.0831 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit|10-integer-limit]].
+'''[[Ed7|Division of the 7th harmonic]] into 34 equal parts''' (34ED7) is related to [[12edo|12 EDO]], but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 99.0831 cents.
-{| class="wikitable"
+ED7 is consistent to the 11-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-[[integer-limit]].
+== Intervals ==
+{| class="wikitable mw-collapsible"
+|+ Intervals of 34ed7
 |-
 ! | degree
@@ Line 184: / Line 188: @@
 | | [[7/4|harmonic seventh]] plus two octaves
 |}
+== Harmonics ==
+{{Harmonics in equal|34|7|1|intervals=prime}}
+{{Harmonics in equal|34|7|1|intervals=prime|collapsed=1|start=12}}
 == Regular temperaments ==
@@ Line 199: / Line 207: @@
 * [[18/17s equal temperament|AS18/17]] - relative [[AS|ambitonal sequence]]
+{{todo|expand}}
 [[Category:Ed7]]
 [[Category:Edonoi]]