7L 2s: Difference between revisions

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'''7L 2s''', '''mavila superdiatonic''' or '''superdiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 4\7 (four degrees of [[7edo]] = 685.71¢) to 5\9 (five degrees of [[9edo]] = 666.67¢). In the case of 9edo, L and s are the same size; in the case of 7edo, s becomes so small it disappears (and all that remains are the seven equal L's).

From a regular temperament perspective (i.e. approximating [[low JI]] intervals), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your [[harmonic entropy]] is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then [[Pelogic_family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "mavila superdiatonic" or simply 'Superdiatonic'.

From a regular temperament perspective (i.e. approximating [[low JI]] intervals), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for highly accurate scales (that is, ones that approximate low JI closely), there are much better scale patterns to look at. However, if your [[harmonic entropy]] is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then [[Pelogic_family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "mavila superdiatonic" or simply 'Superdiatonic'.

These scales are strongly associated with the [[Armodue|Armodue]] project/system based on the septimal-mavila and Hornbostel temperaments.

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 '''7L 2s''', '''mavila superdiatonic''' or '''superdiatonic''' refers to the structure of octave-equivalent [[MOS]] scales with generators ranging from 4\7 (four degrees of [[7edo]] = 685.71¢) to 5\9 (five degrees of [[9edo]] = 666.67¢). In the case of 9edo, L and s are the same size; in the case of 7edo, s becomes so small it disappears (and all that remains are the seven equal L's).
-From a regular temperament perspective (i.e. approximating [[low JI]] intervals), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your [[harmonic entropy]] is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then [[Pelogic_family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "mavila superdiatonic" or simply 'Superdiatonic'.
+From a regular temperament perspective (i.e. approximating [[low JI]] intervals), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for highly accurate scales (that is, ones that approximate low JI closely), there are much better scale patterns to look at. However, if your [[harmonic entropy]] is coarse enough (that is, if 678 cents is an acceptable '3/2' to you), then [[Pelogic_family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "mavila superdiatonic" or simply 'Superdiatonic'.
 These scales are strongly associated with the [[Armodue|Armodue]] project/system based on the septimal-mavila and Hornbostel temperaments.