Parizek-miller hexagon: Difference between revisions

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The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant (temperament)|dominant]]-[[diminished (temperament)|diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.
The first [[scale]] in this table is parizek_ji, another mode of which is miller7. Each scale is a [[dominant (temperament)|dominant]]-[[diminished (temperament)|diminished]]-[[pajara]]-[[injera]] [[wakalix]], and both the first scale and the fourth are [[superwakalix|superwakalixes]]--[[mode]]s of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one [[note]] from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the [[rotation]] by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.



Latest revision as of 18:21, 24 June 2025

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The first scale in this table is parizek_ji, another mode of which is miller7. Each scale is a dominant-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes--modes of domdimpajinjmean and domdimpajinjschis, respectively. The scales each differ by one note from the scale below them. Scale 6 is not tweakable by one note to scale 1, but a mode of it (the rotation by six steps) is 21/20, 9/8, 7/6, 5/4, 21/16, 7/5, 3/2, 63/40, 5/3, 7/4, 147/80, 2, and this does differ by one note from scale 1. That forms the hexagon of tweak related domes of the dominant-diminished-pajara-injera wakalixes.

1 21/20 9/8 7/6 5/4 21/16 7/5 3/2 63/40 5/3 7/4 15/8 2
2 21/20 9/8 7/6 5/4 21/16 10/7 3/2 63/40 5/3 7/4 15/8 2
3 15/14 9/8 7/6 5/4 21/16 10/7 3/2 63/40 5/3 7/4 15/8 2
4 15/14 9/8 7/6 5/4 21/16 10/7 3/2 45/28 5/3 7/4 15/8 2
5 15/14 9/8 25/21 5/4 21/16 10/7 3/2 45/28 5/3 7/4 15/8 2
6 15/14 9/8 25/21 5/4 21/16 10/7 3/2 45/28 5/3 25/14 15/8 2