Pinedye: Difference between revisions
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'''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]]. | '''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 step pattern of pinedye is LLmLLsLm (chiral), LLmLLmLs (chiral, reverse of the first chiral pattern) or LLsLLmLm (achiral). | |||
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). | ||