Aberrismic theory: Difference between revisions
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* [[diachrome]] (5L2m5s or 5s) | * [[diachrome]] (5L2m5s or 5s) | ||
== Conventions == | == Conventions == | ||
See [[User:Inthar/Notation]] for the explanation of math notation | See [[User:Inthar/Notation]] for the explanation of idiosyncratic math notation. | ||
== Edos with quasi-diatonic aberrismic scales == | == Edos with quasi-diatonic aberrismic scales == | ||
All edos 20 and above have an aberrismic scale of the form 5L2mks. If ''n'' = 5''p'' + 2''q'' where ''p'' > ''q'' > 1 (''n''-edo is a diatonic edo with step ratio ''p'':''q''), then (''n'' + ''k'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':1 for 1 ≤ ''k'' < ''q'', and (''n'' + ''rk'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':''r'' if 1 ≤ ''r'' ≤ ''rk'' < ''q''. | All edos 20 and above have an aberrismic scale of the form 5L2mks. If ''n'' = 5''p'' + 2''q'' where ''p'' > ''q'' > 1 (''n''-edo is a diatonic edo with step ratio ''p'':''q''), then (''n'' + ''k'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':1 for 1 ≤ ''k'' < ''q'', and (''n'' + ''rk'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':''r'' if 1 ≤ ''r'' ≤ ''rk'' < ''q''. | ||