31ed6: Difference between revisions

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'''[[Edt|Division of the sixth harmonic]] into 31 equal parts''' (31ED6) is related to [[12edo|12 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.7568 cents stretched and the step size is about 100.0631 cents.

=~~Division of 6/1 into 31 equal parts~~=

== Theory ==

~~Note: 31 equal divisions of the hexatave~~ is not a ~~"real"~~ xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo~~|12-tone scale~~]], similar to [[~~19ED3~~]].

31ed6 is not a true xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.

==~~See also~~==

=== Harmonics ===

*[[12edo]]: relative EDO

*[[19ED3|~~19ed3]]: relative ED3~~

{{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 31ed6 (continued)}}

*[[28ed5]]: relative ED5

*[[34ed7]]: relative ED7

*[[40ed10]]: relative ED10

[[~~Category:Ed6~~]]

=== Subsets and supersets ===

[[~~Category:edonoi~~]]

31ed6 is the 11th [[prime equal division|prime ed6]], following [[29ed6]] and before [[37ed6]].

[[~~category~~:~~macrotonal~~]]

== See also ==

* [[7edf]] – relative edf

* [[12edo]] – relative edo

* [[19ed3]] – relative ed3

* [[28ed5]] – relative ed5

* [[34ed7]] – relative ed7

* [[40ed10]] – relative ed10

* [[43ed12]] – relative ed12

* [[76ed80]] – close to the zeta-optimized tuning for 12edo

* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]]

[[Category:12edo]]

@@ Line 1: / Line 1: @@
-'''[[Edt|Division of the sixth harmonic]] into 31 equal parts''' (31ED6) is related to [[12edo|12 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.7568 cents stretched and the step size is about 100.0631 cents.
+{{Infobox ET}}
+{{ED intro}}
-=Division of 6/1 into 31 equal parts=
+== Theory ==
-Note: 31 equal divisions of the hexatave is not a "real" xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo|12-tone scale]], similar to [[19ED3]].
+ed6 is not a true xenharmonic tuning; it is a slightly stretched version (with an octave of 1200.8 cents) of the normal [[12edo]], similar to [[19ed3]]. It is very nearly identical to [[12edo]], but with the [[6/1]] rather than the 2/1 being just.
-==See also==
+=== Harmonics ===
-*[[12edo]]: relative EDO
+{{Harmonics in equal|31|6|1|columns=12}}
-*[[19ED3|19ed3]]: relative ED3
+{{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 31ed6 (continued)}}
-*[[28ed5]]: relative ED5
-*[[34ed7]]: relative ED7
-*[[40ed10]]: relative ED10
-[[Category:Ed6]]
+=== Subsets and supersets ===
-[[Category:edonoi]]
+ed6 is the 11th [[prime equal division|prime ed6]], following [[29ed6]] and before [[37ed6]].
-[[category:macrotonal]]
+== See also ==
+* [[7edf]] – relative edf
+* [[12edo]] – relative edo
+* [[19ed3]] – relative ed3
+* [[28ed5]] – relative ed5
+* [[34ed7]] – relative ed7
+* [[40ed10]] – relative ed10
+* [[43ed12]] – relative ed12
+* [[76ed80]] – close to the zeta-optimized tuning for 12edo
+* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]]
+[[Category:12edo]]