Biyatismic chords: Difference between revisions
Corrections. 1-11/8-11/6 is clearly utonal; 1-9/8-11/8-11/6, 1-4/3-3/2-18/11, and 1-6/5-3/2-11/6 aren't 11-odd-limit concordances; all 15-odd-limit chords here are either essentially just or aren't concordances |
Correction +1. 1-11/8-16/11 isn't 11-odd-limit and essentially just in the 15-odd-limit |
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'''Biyatismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the biyatisma, [[121/120]]. | '''Biyatismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the biyatisma, [[121/120]]. | ||
Biyatismic temperament contains many possibilities for essentially tempered dyadic chords including | Biyatismic temperament contains many possibilities for essentially tempered dyadic chords including 2 triads and 8 tetrads in the [[11-odd-limit]] of the 2.3.5.11 subgroup. | ||
The | The two biyatismic triads are in inverse relationship: | ||
* 1-11/8-[[5/3]] chord with steps of 11/8-[[11/9]]-[[6/5]]; | * 1-11/8-[[5/3]] chord with steps of 11/8-[[11/9]]-[[6/5]]; | ||
* 1-6/5-16/11 chord with steps of 6/5-11/9-11/8. | * 1-6/5-16/11 chord with steps of 6/5-11/9-11/8. | ||
For tetrads, there are | For tetrads, there are two palindromic chords and three pairs of chords in inverse relationship. The palindromic chords are | ||
* 1-9/8-11/8-18/11 chord with steps of 9/8-11/9-6/5-11/9; | * 1-9/8-11/8-18/11 chord with steps of 9/8-11/9-6/5-11/9; | ||
* 1-5/4-11/8-11/6 chord with steps of 5/4-11/10-4/3-11/10. | * 1-5/4-11/8-11/6 chord with steps of 5/4-11/10-4/3-11/10. | ||