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:Triads]] | [[Category:Triads]] | ||
[[Category:Tetrads]] | [[Category:Tetrads]] | ||
[[Category:Petrmic]] | [[Category:Petrmic]] | ||
Latest revision as of 14:08, 19 March 2025
Petrmic chords are essentially tempered dyadic chords tempered by the petrma, 2200/2197.
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:
- 1–11/10–13/10–22/13 with steps 11/10, 13/11, 13/10, 13/11.
Equal temperaments with petrmic chords include 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.