35edf: Difference between revisions

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'''[[EDF|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch|stretched]] by about 3.3514 [[cents]] and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]).

~~The~~ [[~~patent val~~]] ~~has a generally sharp tendency for~~ [[~~harmonic~~]]~~s up~~ to 18, with the ~~exception for 13~~. ~~Unlike 60edo, it~~ is ~~only consistent up to the 7-~~[[~~integer-limit~~]]~~, with discrepancy for the 8th harmonic (three octaves)~~.

== Theory ==

35edf corresponds to 59.8329…[[edo]] and is practically identical to every sixth step of [[359edo]]. It is related to [[60edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being [[just]]. The octave is [[Stretched and compressed tuning|stretched]] by about 3.35 [[cents]].

~~Lookalikes:~~ [[60edo]], [[~~95edt~~]]

The [[patent val]] has a generally sharp tendency for [[prime harmonic]]s up to 17, with the exception for [[13/1|13]]. Unlike 60edo, which is [[consistent]] to the [[integer limit|10-integer-limit]], 35edf is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).

== Harmonics ==

=== Harmonics ===

{{Harmonics in equal|35|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 35edf (continued)}}

== Intervals ==

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|}

~~{{todo|expand}}~~

== See also ==

[[~~Category:Edf~~]]

* [[60edo]] – relative edo

[[~~Category:Edonoi~~]]

* [[95edt]] – relative edt

* [[139ed5]] – relative ed5

* [[155ed6]] – relative ed6

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[EDF|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave stretch|stretched]] by about 3.3514 [[cents]] and the step size is about 20.0559 cents (corresponding to 59.8329 [[edo]], practically identical to every sixth step of [[359edo]]).
+{{ED intro}}
-The [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the 7-[[integer-limit]], with discrepancy for the 8th harmonic (three octaves).
+== Theory ==
+edf corresponds to 59.8329…[[edo]] and is practically identical to every sixth step of [[359edo]]. It is related to [[60edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being [[just]]. The octave is [[Stretched and compressed tuning|stretched]] by about 3.35 [[cents]].
-Lookalikes: [[60edo]], [[95edt]]
+The [[patent val]] has a generally sharp tendency for [[prime harmonic]]s up to 17, with the exception for [[13/1|13]]. Unlike 60edo, which is [[consistent]] to the [[integer limit|10-integer-limit]], 35edf is only consistent up to the 7-integer-limit, with discrepancy for the 8th harmonic (three octaves).
-== Harmonics ==
+=== Harmonics ===
-{{Harmonics in equal|35|3|2|intervals=prime}}
+{{Harmonics in equal|35|3|2|intervals=integer|columns=11}}
+{{Harmonics in equal|35|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 35edf (continued)}}
 == Intervals ==
@@ Line 373: / Line 375: @@
 |}
-{{todo|expand}}
+== See also ==
-[[Category:Edf]]
+* [[60edo]] – relative edo
-[[Category:Edonoi]]
+* [[95edt]] – relative edt
+* [[139ed5]] – relative ed5
+* [[155ed6]] – relative ed6