Sooty fox chords: Difference between revisions

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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 }}.