Aberrismic theory: Difference between revisions

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* [[blackdye]] (5L2m3s or 3s)
* [[blackdye]] (5L2m3s or 3s)
* [[diamech]] (5L2m4s or 4s)  
* [[diamech]] (5L2m4s or 4s)  
* [[diachromedye]] (5L2m5s or 5s)
* (tentative name) [[diachromedye]] (5L2m5s or 5s)
== 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 &le; ''k'' < ''q'', and (''n'' + ''rk'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':''r'' if 1 &le; ''r'' &le; ''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 &le; ''k'' < ''q'', and (''n'' + ''rk'')edo has a 5L2m''k''s scale with step ratio ''p'':''q'':''r'' if 1 &le; ''r'' &le; ''rk'' < ''q''.