Palingenetic chords: Difference between revisions
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A '''palingenic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[1701/1700]], the palingenesis comma. Currently, there are only a handful of palingenic chords known. Assuming we stick to the 27-odd-limit we have two known triads and one known tetrad. | A '''palingenic chord''' is an [[Dyadic chord|essentially tempered dyadic chord]] tempered by [[1701/1700]], the palingenesis comma. Currently, there are only a handful of palingenic chords known. Assuming we stick to the 27-odd-limit, we have two known triads and one known tetrad. | ||
The known palingenic triads are: | The known palingenic triads are: | ||
Revision as of 14:33, 14 February 2021
A palingenic chord is an essentially tempered dyadic chord tempered by 1701/1700, the palingenesis comma. Currently, there are only a handful of palingenic chords known. Assuming we stick to the 27-odd-limit, we have two known triads and one known tetrad.
The known palingenic triads are:
- 1-34/27-3/2 with steps 34/27-25/21-4/3, and its inversions; dubbed the "palingenic major triad"
- 1-25/21-3/2 with steps 25/21-34/27-4/3, and its inversions; dubbed the "palingenic minor triad"
The known palingenic tetrads are:
- 1-18/17-32/27-5/4 with steps 18/17-28/25-135/128-8/5, and its inversions