Ainismic chords: Difference between revisions
Jump to navigation
Jump to search
Another chord related to my previous addition |
hopefully some more ainic triads, as well as a few tetrads |
||
| Line 1: | Line 1: | ||
An '''ainic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[936/935]], the ainos comma. So far, only a handful of 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, only a handful of ainic triads and 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: | ||
| Line 10: | Line 10: | ||
* 1-11/9-24/17 with steps 11/9-15/13-17/12, 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; | * 1-15/13-24/17 with steps 15/13-11/9-17/12, and its inversions; | ||
* 1-5/4-26/17 with steps 5/4-11/9-17/13 and its inversions; | |||
* 1-11/9-26/17 with steps 11/9-5/4-17/13 and its inversions; | |||
The known ainic tetrads are: | |||
* 1-6/5-17/12-18/11 with steps 6/5-13/11-15/13-11/9 | |||
* 1-13/11-17/12-26/15 with steps 13/11-6/5-11/9-15/13 | |||
* 1-17/16-13/11-5/4 with steps 17/16-10/9-18/17-8/5 | |||
* 1-10/9-13/11-5/4 with steps 10/9-17/16-18/17-8/5 | |||
[[Category:17-limit]] | [[Category:17-limit]] | ||
Revision as of 02:58, 31 December 2020
An ainic chord is an essentially tempered dyadic chord tempered by 936/935, the ainos comma. So far, only a handful of ainic triads and 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;
- 1-13/11-17/12 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;
- 1-18/17-5/4 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;
- 1-11/9-24/17 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;
- 1-5/4-26/17 with steps 5/4-11/9-17/13 and its inversions;
- 1-11/9-26/17 with steps 11/9-5/4-17/13 and its inversions;
The known ainic tetrads are:
- 1-6/5-17/12-18/11 with steps 6/5-13/11-15/13-11/9
- 1-13/11-17/12-26/15 with steps 13/11-6/5-11/9-15/13
- 1-17/16-13/11-5/4 with steps 17/16-10/9-18/17-8/5
- 1-10/9-13/11-5/4 with steps 10/9-17/16-18/17-8/5