137ed6: Difference between revisions

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'''[[Edt|Division of the sixth harmonic]] into 137 equal parts''' (137ED6) is practically identical to [[53edo|53 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.03 cents stretched and the step size is about 22.642 cents.

== ~~Harmonics~~ ==

== Theory ==

~~{{Harmonics in equal|137|~~6|1~~|prec=~~2|~~columns=15}}~~

137ed6 is practically identical to [[53edo]], but with the 6/1 rather than the [[2/1]] being just. The octave is about 0.0264 cents stretched. Like 53edo, 137ed6 is [[consistent]] to the [[integer limit|10-integer-limit]].

[[~~Category:Ed6~~]]

=== Harmonics ===

[[~~Category:Edonoi~~]]

{{Harmonics in equal|137|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 137ed6 (continued)}}

=== Subsets and supersets ===

137ed6 is the 33rd [[prime equal division|prime ed6]], following [[131ed6]] and before [[139ed6]]. It does not contain any nontrivial subset ed6's.

== Scales ==

* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]

== See also ==

* [[9ed9/8]] – relative ed9/8

* [[31edf]] – relative edf

* [[53edo]] – relative edo

* [[84edt]] – relative edt

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 {{Infobox ET}}
-'''[[Edt|Division of the sixth harmonic]] into 137 equal parts''' (137ED6) is practically identical to [[53edo|53 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.03 cents stretched and the step size is about 22.642 cents.
+{{ED intro}}
-== Harmonics ==
+== Theory ==
-{{Harmonics in equal|137|6|1|prec=2|columns=15}}
+ed6 is practically identical to [[53edo]], but with the 6/1 rather than the [[2/1]] being just. The octave is about 0.0264 cents stretched. Like 53edo, 137ed6 is [[consistent]] to the [[integer limit|10-integer-limit]].
-[[Category:Ed6]]
+=== Harmonics ===
-[[Category:Edonoi]]
+{{Harmonics in equal|137|6|1|intervals=integer}}
+{{Harmonics in equal|137|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 137ed6 (continued)}}
+=== Subsets and supersets ===
+ed6 is the 33rd [[prime equal division|prime ed6]], following [[131ed6]] and before [[139ed6]]. It does not contain any nontrivial subset ed6's.
+== Scales ==
+* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]
+== See also ==
+* [[9ed9/8]] – relative ed9/8
+* [[31edf]] – relative edf
+* [[53edo]] – relative edo
+* [[84edt]] – relative edt