7L 2s: Difference between revisions

Line 1:

~~This page is about~~ of a [[~~MOSScales|MOSScale~~]] with 7 ~~large steps~~ and 2 small ~~steps arranged LLLsLLLLs~~ (~~or any rotation of~~ that~~, such as LLsLLLsLL~~).

'''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).

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 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.

@@ Line 1: / Line 1: @@
-This page is about of a [[MOSScales|MOSScale]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
+'''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).
-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 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.