Pinedye: Difference between revisions

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'''{{PAGENAME}}''' (also denoted 1s in [[groundfault]]'s [[aberrismic theory]]) is a quasi-diatonic ternary scale pattern with [[scale signature]] 5L2m1s. The name ''pinedye'' is a blend of ''[[pine]]'' (7L1s) and ''diatonic''. [[20edo]] is the first edo with 5L2m1s and hence the first edo with a quasi-diatonic ternary scale.
'''Pinedye''' (also denoted 1s in [[groundfault]]'s [[aberrismic theory]]) is a quasi-[[diatonic]] [[scale pattern]] with [[step signature]] 5L 2M 1s. The name ''pinedye'' is a blend of ''[[pine]]'' (7L1s) and ''diatonic''. [[20edo]] is the first edo with 5L 2M 1s and hence the first [[edo]] with a quasi-diatonic [[ternary scale]].


The standard untempered 2.3.5 interpretation for pinedye has L = [[10/9]], m = [[27/25]], s = [[81/80]]. Pental pinedye has generator sequence GS(4/3, 4/3, 5/4) or GS(5/4, 4/3, 4/3), or in step vector form GS(2L+M, 2L+M, 2L+s) or GS(2L+s, 2L+M, 2L+M).
The standard untempered 2.3.5 interpretation for pinedye has L = [[10/9]], M = [[27/25]], s = [[81/80]]. Pental pinedye has generator sequence GS(4/3, 4/3, 5/4) or GS(5/4, 4/3, 4/3), or in step vector form GS(2L+M, 2L+M, 2L+s) or GS(2L+s, 2L+M, 2L+M).


[[Category:Rank-3 scales]]
[[Category:Rank-3 scales]]
[[Category:Aberrismic theory]]
[[Category:Aberrismic theory]]