35edf: Difference between revisions

Line 1:

'''[[EDF|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo~~|60 edo~~]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents ~~stretched~~ 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 ~~harmonics~~ up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[~~7-odd-limit|7-~~integer-limit]], with discrepancy for the 8th harmonic (three octaves).

'''[[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).

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

== Harmonics ==

== Intervals ==

{| class="wikitable"

{| class="wikitable mw-collapsible"

|+ Intervals in 35edf

|-

! Degrees of 60edo

Line 367:

Line 373:

|}

[[Category:Edf]]

[[Category:Edonoi]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[EDF|Division of the just perfect fifth]] into 35 equal parts''' (35EDF) is related to [[60edo|60 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched 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 harmonics up to 18, with the exception for 13. Unlike 60edo, it is only consistent up to the [[7-odd-limit|7-integer-limit]], with discrepancy for the 8th harmonic (three octaves).
+'''[[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).
 Lookalikes: [[60edo]], [[95edt]]
+== Harmonics ==
+{{Harmonics in equal|35|3|2|intervals=prime}}
 == Intervals ==
-{| class="wikitable"
+{| class="wikitable mw-collapsible"
+|+ Intervals in 35edf
 |-
 ! Degrees of 60edo
@@ Line 367: / Line 373: @@
 |}
+{{todo|expand}}
 [[Category:Edf]]
 [[Category:Edonoi]]