Squbemic chords: Difference between revisions
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'''Squbemic chords''' are [[ | '''Squbemic chords''' are [[dyadic chord|essentially tempered chord]] tempered by the squbema, [[729/728]]. | ||
[[13-odd-limit]] squebmic chords belong to a tempering of the 2.9.7.13 subgroup, including two triads and three tetrads. | [[13-odd-limit]] squebmic chords belong to a tempering of the 2.9.7.13 subgroup, including two triads and three tetrads. | ||
The two squbemic triads are in inverse relationship: | The two squbemic triads are in inverse relationship: | ||
* | * 1–9/8–13/9 with steps of 9/8, 9/7, 18/13; | ||
* | * 1–9/7–13/9 with steps of 9/7, 9/8, 18/13. | ||
They can be extended to palindromic tetrads: | They can be extended to palindromic tetrads: | ||
* | * 1–9/8–14/9–7/4 with steps of 9/8, 18/13, 9/8, 8/7; | ||
* | * 1–9/8–13/9–13/8 with steps of 9/8, 9/7, 9/8, 16/13; | ||
* | * 1–9/7–13/9–13/7 with steps of 9/7, 9/8, 9/7, 14/13. | ||
Equal temperaments with squbemic chords include {{Optimal ET sequence| 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069 and 1724 }}, with 1724edo giving the optimal patent val. | Equal temperaments with squbemic chords include {{Optimal ET sequence| 24, 36, 41, 53, 58, 72, 111, 130, 183, 190, 224, 354, 373, 525, 597, 845, 1028, 1069 and 1724 }}, with 1724edo giving the optimal patent val. | ||
[[Category:13-odd-limit]] | [[Category:13-odd-limit chords]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triads]] | [[Category:Triads]] | ||
[[Category:Tetrads]] | [[Category:Tetrads]] | ||
[[Category:Squbemic]] | [[Category:Squbemic]] | ||