Aureusmic chords: Difference between revisions

Revision as of 11:36, 11 May 2023

Aureusmic chords are essentially tempered dyadic chords tempered by the aureusma, 1445/1444.

The most typical 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:

There is an inversely related pair which is even more squeezed:

They can be extended to the following inversely related tetrads, all of which seem to be based largely on a sort of secundal harmony:

Then there are two inversely related pentads:

@@ Line 1: / Line 1: @@
 '''Aureusmic chords''' are [[essentially tempered dyadic chord]]s 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:
+The most typical 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:
+There is an inversely related pair which is even more squeezed:
+* 1-17/16-19/17 with steps 17/16-20/19-8/5, and its inverse
+* 1-20/19-19/17 with steps 20/19-17/16-8/5.
+They 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.
+* 1-20/19-19/17-5/4 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.