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).
'''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 with stacks of a single generator), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for scales that are highly accurate to low JI, there are much better scale patterns to look at. However, if 678 cents is an acceptable fifth 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 with stacks of a single generator), this MOS pattern is essentially synonymous to [[mavila]]. If you're looking for scales that are highly accurate to low JI, there are much better scale patterns to look at. However, if 678 cents is an acceptable fifth to you, then [[Pelogic_family|mavila]] is an important [[harmonic entropy]] minimum here.


These scales are strongly associated with [[mavila]] temperament, which can be divided into two tuning ranges:
These scales are strongly associated with [[mavila]] temperament, which can be divided into two tuning ranges: