31ed6: Difference between revisions

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== Theory ==
== Theory ==
31ed6 is not a truly 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.  
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.  


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|31|6|1|columns=12}}
{{Harmonics in equal|31|6|1|columns=12}}
{{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 31ed6 (continued)}}
{{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 31ed6 (continued)}}
=== Subsets and supersets ===
31ed6 is the 11th [[prime equal division|prime ed6]], following [[29ed6]] and before [[37ed6]].


== See also ==
== See also ==
* [[7edf]] – relative ed3/2
* [[7edf]] – relative edf
* [[12edo]] – relative edo
* [[12edo]] – relative edo
* [[19ed3]] – relative ed3
* [[19ed3]] – relative ed3
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* [[34ed7]] – relative ed7
* [[34ed7]] – relative ed7
* [[40ed10]] – relative ed10
* [[40ed10]] – relative ed10
* [[43ed12]] – relative edD12
* [[43ed12]] – relative ed12
* [[76ed80]] – close to the zeta-optimized tuning for 12edo
* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]]


[[category:Macrotonal]]
[[Category:12edo]]