2L 5s: Difference between revisions

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'''2L 5s''', '''pelogic''', or '''antidiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 3\7 (3 degrees of [[7edo|7edo]] = 514.29¢) to 1\2 (one degree of [[2edo]] = 600¢). In the case of 7edo, L and s are the same size; in the case of 2edo, s becomes so small it disappears (and all that remains are the two equal L's).

~~The word "~~mavila~~" is used in different ways by different folks. Not every user of the word would consider~~ every 2L 5s scale an instance of "mavila." ~~In particular~~, ~~between 13\29 and 14\31, and centered on 9~~\~~20, is the albitonic scale for the 2.7.~~11.~~13 subgroup temperament~~ [[~~Chromatic_pairs#Score|score~~]]~~, which is not intended to be treated as having any kind of fifth, flat or otherwise~~.

While antidiatonic is closely associated with [[mavila temperament]], not every 2L 5s scale an instance of "mavila", since some of them extend to [[2L 7s]] scales (like the 2L 5s generated by 11edo's 6\11 = 656.5657¢), not [[7L 2s]] mavila superdiatonic scales.

In terms of harmonic entropy, the most significant minimum is at [[Meantone_family|Liese]]/Triton, in which the generator is about 7/5 and three of them make a 3/1.

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 '''2L 5s''', '''pelogic''', or '''antidiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 3\7 (3 degrees of [[7edo|7edo]] = 514.29¢) to 1\2 (one degree of [[2edo]] = 600¢). In the case of 7edo, L and s are the same size; in the case of 2edo, s becomes so small it disappears (and all that remains are the two equal L's).
-The word "mavila" is used in different ways by different folks. Not every user of the word would consider every 2L 5s scale an instance of "mavila." In particular, between 13\29 and 14\31, and centered on 9\20, is the albitonic scale for the 2.7.11.13 subgroup temperament [[Chromatic_pairs#Score|score]], which is not intended to be treated as having any kind of fifth, flat or otherwise.
+While antidiatonic is closely associated with [[mavila temperament]], not every 2L 5s scale an instance of "mavila", since some of them extend to [[2L 7s]] scales (like the 2L 5s generated by 11edo's 6\11 = 656.5657¢), not [[7L 2s]] mavila superdiatonic scales.
 In terms of harmonic entropy, the most significant minimum is at [[Meantone_family|Liese]]/Triton, in which the generator is about 7/5 and three of them make a 3/1.