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.
'''{{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.


The standard untempered 2.3.5 interpretation for pinedye has L = [[10/9]], m = [[27/25]], s = [[81/80]].
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 5/4 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]]

Revision as of 18:19, 9 August 2024

Pinedye (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.

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 5/4 4/3), or in step vector form GS(2L+M 2L+M 2L+s) or GS(2L+s 2L+M 2L+M).