34ed7: Difference between revisions

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{{delete|reason=12edo octave stretching is addressed and should be addressed in "octave stretch" section of the 12edo page. Neighboring ed7s do not have articles}}
{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}


== Theory ==
== Theory ==
34ed7 is related to [[12edo]], but with the 7/1 rather than the 2/1 being just. The octave is about 11.0026 cents compressed and the step size is about 99.0831 cents. It is consistent to the [[integer limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12edo is only consistent up to the 10-integer-limit.
34ed7 is related to [[12edo]], but with the 7/1 rather than the 2/1 being just. This compresses the octave by 11.0026{{c}}, a small but significant deviation. It is consistent to the [[integer limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12edo is only consistent up to the 10-integer-limit.


=== Harmonics ===
=== Harmonics ===
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== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|+ Intervals of 34ed7
|+ style="font-size: 105%;" | Intervals of 34ed7
|-
|-
! #
! #
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* [[40ed10]] – relative ed10
* [[40ed10]] – relative ed10
* [[42ed11]] – relative ed11
* [[42ed11]] – relative ed11
* [[76ed80]] – close to the zeta-optimized tuning for 12edo
* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]]
* [[1ed18/17|AS18/17]] – relative [[AS|ambitonal sequence]]
[[Category:12edo]]