Buzurgismic chords: Difference between revisions
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'''Buzurgismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the buzurgisma, [[169/168]]. | '''Buzurgismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the buzurgisma, [[169/168]]. | ||
The [[buzurgismic]] temperament is very comparable to the [[biyatismic]] temperament. It has 2 triads and 6 tetrads in the [[13-odd-limit]] of the 2.3.7.13 subgroup, but all | The [[buzurgismic]] temperament is very comparable to the [[biyatismic]] temperament. It has 2 triads and 6 tetrads in the [[13-odd-limit]] of the 2.3.7.13 subgroup, but these all become essentially just in the [[21-odd-limit]]. | ||
The two buzurgismic triads are in inverse relationship: | The two buzurgismic triads are in inverse relationship: | ||
| Line 7: | Line 7: | ||
* 1-7/6-13/8 with steps of 7/6-18/13-16/13. | * 1-7/6-13/8 with steps of 7/6-18/13-16/13. | ||
For tetrads, there are two palindromic chords and | For tetrads, there are two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are | ||
* 1-16/13-18/13-12/7 with steps of 16/13-9/8-16/13-7/6; | * 1-16/13-18/13-12/7 with steps of 16/13-9/8-16/13-7/6; | ||
* 1-3/2-13/8-13/7 with steps of 3/2-13/12-8/7-13/12. | * 1-3/2-13/8-13/7 with steps of 3/2-13/12-8/7-13/12. | ||
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[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triad]] | [[Category:Triad]] | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:Buzurgismic]] | [[Category:Buzurgismic]] | ||
Revision as of 07:30, 23 February 2023
Buzurgismic chords are essentially tempered dyadic chords tempered by the buzurgisma, 169/168.
The buzurgismic temperament is very comparable to the biyatismic temperament. It has 2 triads and 6 tetrads in the 13-odd-limit of the 2.3.7.13 subgroup, but these all become essentially just in the 21-odd-limit.
The two buzurgismic triads are in inverse relationship:
- 1-16/13-12/7 with steps of 16/13-18/13-7/6;
- 1-7/6-13/8 with steps of 7/6-18/13-16/13.
For tetrads, there are two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are
- 1-16/13-18/13-12/7 with steps of 16/13-9/8-16/13-7/6;
- 1-3/2-13/8-13/7 with steps of 3/2-13/12-8/7-13/12.
The inversely related pairs of chords are
- 1-18/13-3/2-13/8 with steps of 18/13-13/12-13/12-16/13 and 1-13/12-3/2-13/7 with steps of 13/12-18/13-16/13-13/12;
- 1-7/6-3/2-13/8 with steps of 7/6-9/7-13/12-16/13 and 1-9/7-3/2-13/7 with steps of 9/7-7/6-16/13-13/12.