Aureusmic chords: Difference between revisions
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'''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 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. | * 1-19/17-5/4 with steps 19/17-19/17-8/5. | ||
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 | * 1-19/17-19/16-5/4 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 | * 1-19/17-20/17-5/4 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. | * 1-17/16-19/17-5/4 with steps 17/16-20/19-19/17-8/5. | ||