Aureusmic chords: Difference between revisions
Jump to navigation
Jump to search
Created page with "'''Aureusmic chords''' are essentially tempered dyadic chords tempered by the aureusma, 1445/1444. The aureusmic triad in the 2.5.17.19 subgroup 19-odd-limit is a pa..." |
mNo edit summary |
||
| Line 1: | Line 1: | ||
'''Aureusmic chords''' are [[essentially tempered dyadic chord]]s tempered by the aureusma, [[1445/1444]]. | '''Aureusmic chords''' are [[essentially tempered dyadic chord]]s tempered by the aureusma, [[1445/1444]]. | ||
The aureusmic triad in the 2.5.17.19 subgroup 19-odd-limit | The aureusmic triad is a palindrome in the 2.5.17.19 [[subgroup]] [[19-odd-limit]] since it identifies 5/4 by a stack of two 19/17's: | ||
* 1-19/17-5/4 with steps 19/17-19/17-8/5. | * 1-19/17-5/4 with steps 19/17-19/17-8/5. | ||
| Line 14: | Line 14: | ||
* 1-20/19-19/17-20/17-5/4 with steps 20/19-17/16-20/19-17/16-8/5. | * 1-20/19-19/17-20/17-5/4 with steps 20/19-17/16-20/19-17/16-8/5. | ||
[[Category:19-odd-limit]] | |||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triad]] | [[Category:Triad]] | ||
Revision as of 11:11, 11 May 2023
Aureusmic chords are essentially tempered dyadic chords tempered by the aureusma, 1445/1444.
The aureusmic triad is a palindrome in the 2.5.17.19 subgroup 19-odd-limit since it identifies 5/4 by a stack of two 19/17's:
- 1-19/17-5/4 with steps 19/17-19/17-8/5.
It can be extended to the following inversely related tetrads, all of which seem to be based largely on a sort of secundal harmony:
- 1-19/17-19/16-5/4 with steps 19/17-17/16-20/19-8/5, and its inverse
- 1-20/19-19/17-5/4 with steps 20/19-17/16-19/17-8/5.
- 1-19/17-20/17-5/4 with steps 19/17-20/19-17/16-8/5, and its inverse
- 1-17/16-19/17-5/4 with steps 17/16-20/19-19/17-8/5.
Then there are two inversely related pentads:
- 1-17/16-19/17-19/16-5/4 with steps 17/16-20/19-17/16-20/19-8/5, and its inverse
- 1-20/19-19/17-20/17-5/4 with steps 20/19-17/16-20/19-17/16-8/5.