31edo: Difference between revisions

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m 14\31 - 541.94¢ - Superfourth or up 4th: added joan, a 2.7.11.15 temperament tempering out 121/120 and 225/224
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==== 14\31 - 541.94¢ - Superfourth or up 4th ====
==== 14\31 - 541.94¢ - 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 [[Starling temperaments|casablanca temperament]].
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 [[Starling temperaments#casablanca|casablanca]] and [[joan]] temperaments.


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