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''; it also sounds a little like [[5L 3s]]. [[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 LLmLLmLs (chiral, 1sR), LLmLLsLm (chiral, 1sL), or LLsLLmLm (achiral, 1sC).

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) (for 1sR), GS(4/3, 5/4, 4/3) (for 1sL), or GS(5/4, 4/3, 4/3) (for 1sC), 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) (for 1sR), GS(4/3, 5/4, 4/3) (for 1sL), or GS(5/4, 4/3, 4/3) (for 1sC), or in step vector form GS(2L+m, 2L+m, 2L+s), GS(2L+,, 2L+s, 2L+m), resp. GS(2L+s, 2L+m, 2L+m).

[[Category:Rank-3 scales]]

[[Category:Aberrismic theory]]

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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''; it also sounds a little like [[5L 3s]]. [[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 LLmLLmLs (chiral, 1sR), LLmLLsLm (chiral, 1sL), or LLsLLmLm (achiral, 1sC).
-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) (for 1sR), GS(4/3, 5/4, 4/3) (for 1sL), or GS(5/4, 4/3, 4/3) (for 1sC), 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) (for 1sR), GS(4/3, 5/4, 4/3) (for 1sL), or GS(5/4, 4/3, 4/3) (for 1sC), or in step vector form GS(2L+m, 2L+m, 2L+s), GS(2L+,, 2L+s, 2L+m), resp. GS(2L+s, 2L+m, 2L+m).
 [[Category:Rank-3 scales]]
 [[Category:Aberrismic theory]]