Huntmic chords: Difference between revisions
linked edos |
m Added links (as requested by the to:do notice) |
||
| Line 1: | Line 1: | ||
''Huntmic chords'' are certain 13-limit [[Dyadic chord|essentially tempered chords]] which close at the octave by tempering out the huntma, 640/637. These include tetrads with steps of size (huntmic tempered) 5/4-16/13-8/7-8/7, 16/13-5/4-8/7-8/7 and 5/4-8/7-16/13-8/7, leading to the huntmic temperings of 1-5/4-20/13-7/4, 1-16/13-20/13-7/4 and 1-5/4-10/7-7/4. Note that the last chord can also be tempered by 441/440 to the [[werckismic chords|werckismic tetrad]]. Aside from tetrads, there are huntmic triads, the huntmic tempered versions of 1-16/13-7/5 and 1-8/7-7/5. | ''Huntmic chords'' are certain 13-limit [[Dyadic chord|essentially tempered chords]] which close at the octave by tempering out the huntma, [[640/637]]. These include tetrads with [[Step|steps]] of size ([[huntmic]] tempered) 5/4-16/13-8/7-8/7, 16/13-5/4-8/7-8/7 and 5/4-8/7-16/13-8/7, leading to the huntmic temperings of 1-5/4-20/13-7/4, 1-16/13-20/13-7/4 and 1-5/4-10/7-7/4. Note that the last chord can also be tempered by [[441/440]] to the [[werckismic chords|werckismic tetrad]]. Aside from tetrads, there are huntmic [[Triad|triads]], the huntmic tempered versions of 1-16/13-7/5 and 1-8/7-7/5. | ||
The name huntmic comes from the fact that the [[optimal patent val]] for huntmic temperament is [[205edo]], the basis of the Hunt System of [[Aaron Andrew Hunt]]. Other equal temperaments with huntmic chords include {{EDOs| 22, 53, 68, 80, 94, 111, 121, 137, 205 and 215 }}. | The name huntmic comes from the fact that the [[optimal patent val]] for huntmic temperament is [[205edo]], the basis of the [[Hunt System]] of [[Aaron Andrew Hunt]]. Other [[EDO|equal temperaments]] with huntmic chords include {{EDOs| 22, 53, 68, 80, 94, 111, 121, 137, 205 and 215 }}. | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
| Line 7: | Line 7: | ||
[[Category:Dyadic]] | [[Category:Dyadic]] | ||
[[Category:Huntma]] | [[Category:Huntma]] | ||
Revision as of 07:37, 20 April 2023
Huntmic chords are certain 13-limit essentially tempered chords which close at the octave by tempering out the huntma, 640/637. These include tetrads with steps of size (huntmic tempered) 5/4-16/13-8/7-8/7, 16/13-5/4-8/7-8/7 and 5/4-8/7-16/13-8/7, leading to the huntmic temperings of 1-5/4-20/13-7/4, 1-16/13-20/13-7/4 and 1-5/4-10/7-7/4. Note that the last chord can also be tempered by 441/440 to the werckismic tetrad. Aside from tetrads, there are huntmic triads, the huntmic tempered versions of 1-16/13-7/5 and 1-8/7-7/5.
The name huntmic comes from the fact that the optimal patent val for huntmic temperament is 205edo, the basis of the Hunt System of Aaron Andrew Hunt. Other equal temperaments with huntmic chords include 22, 53, 68, 80, 94, 111, 121, 137, 205 and 215.