Jacobin chords: Difference between revisions
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Jacobin chords are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, 6656/6655. | '''Jacobin chords''' are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, [[6656/6655]]. | ||
There are | Since the temperament is very complex, even the simplest jacobin chords are 55-odd-limit, although they don't contain a lot of notes, just complex intervals. There are | ||
* 1-11/8-16/11 with steps 11/8-55/52-11/8; | |||
* 1-64/55-11/8 with steps 64/55-13/11-16/11, and its inverse | |||
* 1-13/11-11/8 with steps 13/11-64/55-16/11. | |||
* 1/ | For tetrads, there are | ||
* 1/ | * 1-11/8-16/11-104/55 with steps 11/8-55/52-13/10-55/52; | ||
* 1/ | * 1-13/11-11/8-104/55 with steps 13/11-64/55-11/8-55/52, and its inverse | ||
* | * 1-64/55-11/8-16/11 with steps 64/55-13/11-55/52-11/8; | ||
* 1-64/55-11/8-104/55 with steps 64/55-13/11-11/8-55/52, and its inverse | |||
* 1-13/11-11/8-16/11 with steps 13/11-64/55-55/52-11/8. | |||
[[Category:55-odd-limit]] | |||
[[Category:Jacobin]] | [[Category:Jacobin]] | ||
[[Category:Essentially tempered | [[Category:Essentially tempered chords]] | ||
[[Category:Triads]] | [[Category:Triads]] | ||
[[Category:Tetrads]] | |||
Latest revision as of 21:53, 16 June 2023
Jacobin chords are essentially tempered dyadic chords tempered by the jacobin comma, 6656/6655.
Since the temperament is very complex, even the simplest jacobin chords are 55-odd-limit, although they don't contain a lot of notes, just complex intervals. There are
- 1-11/8-16/11 with steps 11/8-55/52-11/8;
- 1-64/55-11/8 with steps 64/55-13/11-16/11, and its inverse
- 1-13/11-11/8 with steps 13/11-64/55-16/11.
For tetrads, there are
- 1-11/8-16/11-104/55 with steps 11/8-55/52-13/10-55/52;
- 1-13/11-11/8-104/55 with steps 13/11-64/55-11/8-55/52, and its inverse
- 1-64/55-11/8-16/11 with steps 64/55-13/11-55/52-11/8;
- 1-64/55-11/8-104/55 with steps 64/55-13/11-11/8-55/52, and its inverse
- 1-13/11-11/8-16/11 with steps 13/11-64/55-55/52-11/8.