User:Lhearne: Difference between revisions

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Chapter 5 - [[User:Gareth.hearne/Analysis22-7|Exemplar scales for the space of all possible 7-note scales of 22-TET]]

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[[SHEFKHED interval names]]

SKULO notation and interval names (successor to SHEFKHED ~~Interval~~ names)

SKULO notation and interval names (successor to SHEFKHED interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]]. Particularly native to [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1.

Prima

Prima - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; represents [[12edo]], [[22edo]] and [[31edo]] exactly; 10.23 prima to a [[cent]], 170.5 prima to a [[Morion|morion.]]

Step-nested Scales (SNS)

Step-nested Scales (SNS) - generalization of [[MOS scales]] to n-dimensional [[regular temperaments]] (as n-SNS), where [[MOS scales]] are 2-SNS. SNS are symmetric.

[[Magic Tetrachords]]

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 Chapter 5 - [[User:Gareth.hearne/Analysis22-7|Exemplar scales for the space of all possible 7-note scales of 22-TET]]
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 [[SHEFKHED interval names]]
-SKULO notation and interval names (successor to SHEFKHED Interval names)
+SKULO notation and interval names (successor to SHEFKHED interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals:                                     S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]].                 Particularly native to [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1.
-Prima
+Prima - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; represents [[12edo]], [[22edo]] and [[31edo]] exactly; 10.23 prima to a [[cent]], 170.5 prima to a [[Morion|morion.]]
-Step-nested Scales (SNS)
+Step-nested Scales (SNS) - generalization of [[MOS scales]] to n-dimensional [[regular temperaments]] (as n-SNS), where [[MOS scales]] are 2-SNS. SNS are symmetric.
 [[Magic Tetrachords]]