Sooty fox chords: Difference between revisions

Latest revision as of 04:36, 5 June 2026

Sooty fox chords are essentially tempered chords tempered by the sooty fox comma, 343/338.

Sooty fox chords are essentially tempered chords for 2.7.13 subgroup, consisting of the sooty fox triad,

and the sooty fox tetrad,

These chords reduce to 15-odd-limit essentially just chords if the marvel comma is tempered out, which is natural to further temper from sooty fox.

Equal temperaments with sooty fox chords include 9, 10, 11, 19, 21, 31, and 41.

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 '''Sooty fox chords''' are [[Dyadic chord|essentially tempered chord]]s tempered by the sooty fox comma, [[343/338]].
-Sooty fox chords are essentially tempered chords for 2.7.13 [[subgroup]], consisting of the ''sooty fox triad'', 1–14/13–8/7 (with steps of 14/13, 14/13, 7/4), and the ''sooty fox tetrad'', 1–14/13–8/7–16/13 (with steps of 14/13, 14/13, 14/13, 13/8).
+Sooty fox chords are essentially tempered chords for 2.7.13 [[subgroup]], consisting of the ''sooty fox triad'',
+* 1–14/13–8/7 with steps of 14/13, 14/13, 7/4;
-It is natural to temper out the [[marvel comma]] alongside the sooty fox comma, in which case both chords become [[15-odd-limit]] essentially just chords.
+and the ''sooty fox tetrad'',
+* 1–14/13–8/7–16/13 with steps of 14/13, 14/13, 14/13, 13/8.
+These chords reduce to [[15-odd-limit]] essentially just chords if the [[marvel comma]] is tempered out, which is natural to further temper from sooty fox.
 [[Equal temperament]]s with sooty fox chords include {{Optimal ET sequence| 9, 10, 11, 19, 21, 31, and 41 }}.