34edf: Difference between revisions

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'''[[EDF|Division of the just perfect fifth]] into 34 equal parts''' (34EDF) is related to [[58edo~~|58 edo~~]], but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents ~~compressed~~ and the step size is about 20.6457 cents (corresponding to 58.1234 edo). The patent val has a generally flat tendency for ~~harmonics~~ up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the [[~~15-odd-limit|15-~~integer-limit]], with discrepancy for the 16th harmonic (four octaves).

'''[[EDF|Division of the just perfect fifth]] into 34 equal parts''' (34EDF) is related to [[58edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave shrinking|compressed]] by about 2.5474 [[cents]] and the step size is about 20.6457 cents (corresponding to 58.1234 edo).

The [[patent val]] has a generally flat tendency for [[harmonic]]s up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the 15-[[integer-limit]], with discrepancy for the 16th harmonic (four octaves).

Lookalikes: [[58edo]], [[92edt]]

==Harmonics==

{{Harmonics in equal|34|3|2|intervals=prime|start=12|collapsed=1}}

==Intervals==

{| class="wikitable"

{| class="wikitable mw-collapsible"

|+ Intervals of 34edf

|-

! |Degree

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|-

| colspan="2" style="text-align:center;" |0

| style="text-align:~~center~~;" |1/1

| style="text-align:left;" |1/1

|-

|1

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|9/4

|}

[[Category:Edf]]

[[Category:Edonoi]]

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 {{Infobox ET}}
-'''[[EDF|Division of the just perfect fifth]] into 34 equal parts''' (34EDF) is related to [[58edo|58 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 2.5474 cents compressed and the step size is about 20.6457 cents (corresponding to 58.1234 edo). The patent val has a generally flat tendency for harmonics up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the [[15-odd-limit|15-integer-limit]], with discrepancy for the 16th harmonic (four octaves).
+'''[[EDF|Division of the just perfect fifth]] into 34 equal parts''' (34EDF) is related to [[58edo]], but with the [[3/2]] rather than the [[2/1]] being [[just]]. The [[octave]] is [[Octave shrinking|compressed]] by about 2.5474 [[cents]] and the step size is about 20.6457 cents (corresponding to 58.1234 edo).
+The [[patent val]] has a generally flat tendency for [[harmonic]]s up to 16, with the exception for 5. Unlike 58edo, it is only consistent up to the 15-[[integer-limit]], with discrepancy for the 16th harmonic (four octaves).
 Lookalikes: [[58edo]], [[92edt]]
+==Harmonics==
+{{Harmonics in equal|34|3|2|intervals=prime}}
+{{Harmonics in equal|34|3|2|intervals=prime|start=12|collapsed=1}}
 ==Intervals==
-{| class="wikitable"
+{| class="wikitable mw-collapsible"
+|+ Intervals of 34edf
 |-
 ! |Degree
@@ Line 11: / Line 19: @@
 |-
 | colspan="2" style="text-align:center;" |0
-| style="text-align:center;" |1/1
+| style="text-align:left;" |1/1
 |-
 |1
@@ Line 285: / Line 293: @@
 |9/4
 |}
+{{todo|expand}}
 [[Category:Edf]]
 [[Category:Edonoi]]