4L 3s: Difference between revisions

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4L 3s refers to the structure of moment of symmetry scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢).  
'''4L 3s''' refers to the structure of [[MOS]] scales with generators ranging from 1\4edo (one degree of [[4edo]], 300¢) to 2\7edo (two degrees of [[7edo]], or approx. 342.857¢).
 
4L 3s is a distorted diatonic, because it has one small step of diatonic (5L 2s) replaced with a large step.
 
4L 3s has several temperament interpretations:
 
# With generator size between 5\18 (333.3c) and 9\32 (337.5c): [[Sixix]], corresponding to a L/s ratio between 5/4 and 3/2.
# With generator size between 4\15 (320.0c) and 3\11 (327.3c): [[Orgone]], corresponding to a L/s ratio of 3 to 2.
# With generator size between 5\19 (315.8c) and 4\15 (320.0c): [[Keemun]], corresponding to a L/s ratio of 4 to 3.
 
There are also other temperaments in the 4L 3s range, particularly [[amity]] and [[myna]], but 7 notes in the generator chain are not enough to reach the most concordant chords in these temperaments; you would need to use a [[MODMOS]] or use a larger MOS gamut.
 
== Scale tree ==
== Scale tree ==
The spectrum looks like this:
The spectrum looks like this: