Mynucumic chords: Difference between revisions
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A ''mynucumic chord'' is a 13-limit [[Dyadic chord|essentially tempered dyadic chord]] which is defined via tempering out the mynucuma, 196/195. The myunucmic tetrad is the tempering of steps of size 7/6-6/5-7/6-16/13, leading to the tempering of 1-7/6-7/5-13/8. Subchords of this are the two mynucmic triads, with steps 16/13-7/6-7/5 and 7/6-16/13-7/5, leading to temperings of 1-16/13-10/7 and 1-7/6-10/7. Equal temperaments with mynucumic chords include 31, 41, 46, 58, 87, 118, 145 and 232. Mynucumic chords are essential temperings of the 2.5/3.7/3.13 subgroup of the 13-limit. | A ''[[mynucumic]] chord'' is a [[13-limit]], [[Dyadic chord|essentially tempered dyadic chord]] which is defined via [[tempering out]] the mynucuma, [[196/195]]. The myunucmic [[tetrad]] is the tempering of steps of size 7/6-6/5-7/6-16/13, leading to the tempering of 1-7/6-7/5-13/8. Subchords of this are the two mynucmic [[Triad|triads]], with steps 16/13-7/6-7/5 and 7/6-16/13-7/5, leading to temperings of 1-16/13-10/7 and 1-7/6-10/7. Equal temperaments with mynucumic chords include [[31edo|31]], [[41edo|41]], [[46edo|46]], [[58edo|58]], [[87edo|87]], [[118edo|118]], [[145edo|145]] and [[232edo|232]]. Mynucumic chords are essential temperings of the 2.5/3.7/3.13 [[Just intonation subgroup|subgroup]] of the 13-limit. | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Chords]] | [[Category:Chords]] | ||
[[Category:Mynucumic]] | [[Category:Mynucumic]] | ||
Revision as of 07:34, 20 April 2023
A mynucumic chord is a 13-limit, essentially tempered dyadic chord which is defined via tempering out the mynucuma, 196/195. The myunucmic tetrad is the tempering of steps of size 7/6-6/5-7/6-16/13, leading to the tempering of 1-7/6-7/5-13/8. Subchords of this are the two mynucmic triads, with steps 16/13-7/6-7/5 and 7/6-16/13-7/5, leading to temperings of 1-16/13-10/7 and 1-7/6-10/7. Equal temperaments with mynucumic chords include 31, 41, 46, 58, 87, 118, 145 and 232. Mynucumic chords are essential temperings of the 2.5/3.7/3.13 subgroup of the 13-limit.