6edo: Difference between revisions

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== Theory ==
== Theory ==
6edo is identical to the 12edo whole-tone scale, however, it does have xenharmonic theoretical appeal. The 6-form is a simple basis for harmony in the [[2.5.7 subgroup]], somewhat like the [[Heptatonic|7-form]] for 2.3.5 and the [[Pentatonic|5-form]] for 2.3.7. This means that 6edo itself can be seen as a particularly crude tuning of temperaments like [[didacus]], in the same way as 7edo for [[meantone]] or 5edo for [[superpyth]]. The root chord in this harmonic system can be seen as:
6edo is identical to the [[12edo]] whole-tone scale, however, it does have xenharmonic theoretical appeal. The 6-form is a simple basis for harmony in the [[2.5.7 subgroup]], somewhat like the [[Heptatonic|7-form]] for 2.3.5 and the [[Pentatonic|5-form]] for 2.3.7. This means that 6edo itself can be seen as a particularly crude tuning of temperaments like [[didacus]], in the same way as [[7edo]] for [[meantone]] or [[5edo]] for [[superpyth]]. The root chord in this harmonic system can be seen as:


* [0 2 5] = 4:5:7, with the harmonic seventh as a bounding interval
* [0 2 5] = 4:5:7, with the harmonic seventh as a bounding interval
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=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|6|intervals=odd}}
{{Harmonics in equal|6}}


=== Subsets and supersets ===
=== Subsets and supersets ===