Petrmic chords: Difference between revisions
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The petrmic triad is a palindrome in the 2.5.11.13 [[subgroup]] [[13-odd-limit]], consisting of two [[13/10]] intervals followed by a [[13/11]], closing at the [[octave]]. In other words: | The petrmic triad is a palindrome in the 2.5.11.13 [[subgroup]] [[13-odd-limit]], consisting of two [[13/10]] intervals followed by a [[13/11]], closing at the [[octave]]. In other words: | ||
* | * 1–13/10–22/13 with steps 13/10, 13/10, 13/11. | ||
It can be extended to the following palindromic tetrad: | It can be extended to the following palindromic tetrad: | ||
* | * 1–11/10–13/10–22/13 with steps 11/10, 13/11, 13/10, 13/11. | ||
[[ | [[Equal temperament]]s with petrmic chords include {{EDOs| 29, 37, 50, 53, 58, 84, 87, 111, 121, 140, 190, 198, 224, 311, 414, 422, and 612 }}. 37, 50 and especially 29 have notably good petrmic triads. | ||
[[Category:13-odd-limit]] | [[Category:13-odd-limit chords]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category: | [[Category:Triads]] | ||
[[Category: | [[Category:Tetrads]] | ||
[[Category:Petrmic]] | [[Category:Petrmic]] | ||