Huntmic chords: Difference between revisions
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''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 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. | ||
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. | 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 }}. | ||
[[Category:13-limit]] | [[Category:13-limit]] | ||
[[Category:Chords]] | [[Category:Chords]] | ||
Revision as of 12:48, 25 October 2020
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.