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-diminished-pajara-injera wakalix, and both the first scale and the fourth are superwakalixes-- | {{stub}} | ||
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. | |||
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[[Category:12-tone scales]] | |||
[[Category:Just intonation scales]] | |||
[[Category:7-limit]] | |||
[[Category:Pages with Scala files]] | |||
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 |