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|~~optimal patent val]] for huntmic temperament is [[~~205edo|~~205edo]], the basis of the Hunt System of [[~~Aaron_Andrew_Hunt|~~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 22, 53, 68, 80, 94, 111, 121, 137, 205 and 215.

[[Category:13-limit]]

[[Category:~~chord~~]]

[[Category:Chords]]

[[Category:~~dyadic~~]]

[[Category:Dyadic]]

[[Category:~~huntma~~]]

[[Category:Huntma]]

[[Category:~~todo~~:~~add_links~~]]

[[Category:Todo:add links]]

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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|optimal patent val]] for huntmic temperament is [[205edo|205edo]], the basis of the Hunt System of [[Aaron_Andrew_Hunt|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 22, 53, 68, 80, 94, 111, 121, 137, 205 and 215.
 [[Category:13-limit]]
-[[Category:chord]]
+[[Category:Chords]]
-[[Category:dyadic]]
+[[Category:Dyadic]]
-[[Category:huntma]]
+[[Category:Huntma]]
-[[Category:todo:add_links]]
+[[Category:Todo:add links]]