Petrmic chords: Difference between revisions
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The ''petrmic triad'' is a 13-limit [[Dyadic_chord|essentially tempered dyadic chord]] consisting of two 13/10 intervals followed by a 13/11, in other words a 13/10-13/10-13/11 chord, tempered by the petrma, 2200/2197, so that it closes at the octave. Another way to say this is that it is the petrmic tempering of 1-13/10-22/13 or 1-13/11-20/13. Equal temperaments with petrmic triads 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. | The ''[[petrmic]] [[triad]]'' is a [[13-limit]], [[Dyadic_chord|essentially tempered dyadic chord]] consisting of two [[13/10]] intervals followed by a [[13/11]], in other words a 13/10-13/10-13/11 chord, tempered by the petrma, [[2200/2197]], so that it closes at the [[octave]]. Another way to say this is that it is the petrmic tempering of 1-13/10-22/13 or 1-13/11-20/13. [[EDO|Equal temperaments]] with petrmic triads include [[29edo|29]], [[37edo|37]], [[50edo|50]], [[53edo|53]], [[58edo|58]], [[84edo|84]], [[87edo|87]], [[111edo|111]], [[121edo|121]], [[140edo|140]], [[190edo|190]], [[198edo|198]], [[224edo|224]], [[311edo|311]], [[414edo|414]], [[422edo|422]], and [[612edo|612]]. 37, 50 and especially 29 have notably good petrmic triads. | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:petrmic]] | [[Category:petrmic]] | ||
[[Category:triad]] | [[Category:triad]] | ||
Revision as of 07:46, 20 April 2023
The petrmic triad is a 13-limit, essentially tempered dyadic chord consisting of two 13/10 intervals followed by a 13/11, in other words a 13/10-13/10-13/11 chord, tempered by the petrma, 2200/2197, so that it closes at the octave. Another way to say this is that it is the petrmic tempering of 1-13/10-22/13 or 1-13/11-20/13. Equal temperaments with petrmic triads 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.