Ainismic chords: Difference between revisions
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added a group of tetrads that seem to all pass the inversion test |
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An '''ainic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[936/935]], the ainos comma. So far, sixteen ainic triads are known, however, other triads as well as | An '''ainic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[936/935]], the ainos comma. So far, sixteen ainic triads and six ainic tetrads are known, however, other triads and tetrads, as well as pentads and so forth, are likely to exist. | ||
The known ainic triads are: | The known ainic triads are: | ||
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* 1-11/8-26/17 with steps 11/8-10/9-17/13, and its inversions; dubbed the "ainic suspended demisharp four chord" | * 1-11/8-26/17 with steps 11/8-10/9-17/13, and its inversions; dubbed the "ainic suspended demisharp four chord" | ||
* 1-10/9-26/17 with steps 10/9-11/8-17/13, and its inversions; dubbed the "ainic suspended two chord" | * 1-10/9-26/17 with steps 10/9-11/8-17/13, and its inversions; dubbed the "ainic suspended two chord" | ||
The known ainic tetrads are: | |||
* 1-12/11-17/12-3/2 with steps 12/11-13/10-18/17-4/3 and their inversions | |||
* 1-12/11-15/13-3/2 with steps 12/11-18/17-13/10-4/3 and their inversions | |||
* 1-13/10-17/12-3/2 with steps 13/10-12/11-18/17-4/3 and their inversions | |||
* 1-13/10-11/8-3/2 with steps 13/10-18/17-12/11-4/3 and their inversions | |||
* 1-18/17-15/13-3/2 with steps 18/17-12/11-13/10-4/3 and their inversions | |||
* 1-18/17-11/8-3/2 with steps 18/17-13/10-12/11-4/3 and their inversions | |||
[[Category:17-limit]] | [[Category:17-limit]] | ||
Revision as of 04:55, 1 January 2021
An ainic chord is an essentially tempered dyadic chord tempered by 936/935, the ainos comma. So far, sixteen ainic triads and six ainic tetrads are known, however, other triads and tetrads, as well as pentads and so forth, are likely to exist.
The known ainic triads are:
- 1-17/16-13/11 with steps 17/16-10/9-22/13, and its inversions
- 1-10/9-13/11 with steps 10/9-17/16-22/13, and its inversions
- 1-18/17-5/4 with steps 18/17-13/11-8/5, and its inversions
- 1-13/11-5/4 with steps 13/11-18/17-8/5, and its inversions
- 1-13/11-17/12 with steps 13/11-6/5-24/17, and its inversions
- 1-6/5-17/12 with steps 6/5-13/11-24/17, and its inversions
- 1-12/11-17/12 with steps 12/11-13/10-24/17 and its inversions
- 1-13/10-17/12 with steps 13/10-12/11-24/17 and its inversions
- 1-11/9-24/17 with steps 11/9-15/13-17/12, and its inversions
- 1-15/13-24/17 with steps 15/13-11/9-17/12, and its inversions
- 1-6/5-17/13 with steps 6/5-12/11-26/17 and its inversions
- 1-12/11-17/13 with steps 12/11-6/5-26/17 and its inversions
- 1-5/4-26/17 with steps 5/4-11/9-17/13, and its inversions; dubbed the "ainic major triad"
- 1-11/9-26/17 with steps 11/9-5/4-17/13, and its inversions; dubbed the "ainic neutral triad"
- 1-11/8-26/17 with steps 11/8-10/9-17/13, and its inversions; dubbed the "ainic suspended demisharp four chord"
- 1-10/9-26/17 with steps 10/9-11/8-17/13, and its inversions; dubbed the "ainic suspended two chord"
The known ainic tetrads are:
- 1-12/11-17/12-3/2 with steps 12/11-13/10-18/17-4/3 and their inversions
- 1-12/11-15/13-3/2 with steps 12/11-18/17-13/10-4/3 and their inversions
- 1-13/10-17/12-3/2 with steps 13/10-12/11-18/17-4/3 and their inversions
- 1-13/10-11/8-3/2 with steps 13/10-18/17-12/11-4/3 and their inversions
- 1-18/17-15/13-3/2 with steps 18/17-12/11-13/10-4/3 and their inversions
- 1-18/17-11/8-3/2 with steps 18/17-13/10-12/11-4/3 and their inversions