31edo/Individual degrees: Difference between revisions

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== 14\31 – superfourth or up 4th ==
== 14\31 – superfourth or up 4th ==
Exactly twice a subminor third. Functions as both the 11:8 (551.32¢) and 15:11 (536.95¢) undecimal superfourths (121/120 is tempered out). Thus it makes possible a symmetrical tempered version of an 8:11:15 triad. As 11/8, 14\31 is about 9¢ flat; however, it fits nicely with the also-flat 9/8, allowing a near-just 11/9. Nonetheless, most 11-limit chords in 31edo have a somewhat unstable quality which distinguishes them from their just counterparts. Generates [[casablanca]] and [[joan]] temperaments.
Exactly twice a subminor third, and 1.1c flat of [[26/19]] (543.0¢). When viewing 31edo as a 11-limit temperament, the interval functions as both the 11:8 (551.32¢) and 15:11 (536.95¢) undecimal superfourths (121/120 is tempered out). Thus it makes possible a symmetrical tempered version of an 8:11:15 triad. As 11/8, 14\31 is about 9¢ flat; however, it fits nicely with the also-flat 9/8, allowing a near-just 11/9. Nonetheless, most 11-limit chords in 31edo have a somewhat unstable quality which distinguishes them from their just counterparts. Generates [[casablanca]] and [[joan]] temperaments.


MOS Scales generated by 14\31
MOS Scales generated by 14\31