Strictly proper 7-tone 31edo scales: Difference between revisions
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Revision as of 23:18, 4 December 2020
Below are listed scales which are strictly proper, in the sense the term is used by music theorist David Rothenberg. The "type" of a scale is defined by the linear temperament supported by 31et in which it has the least span. "Breed type" means it is a tie between miracle and hemiwuerschmidt.
Meantone type
schema | name | example(s) |
---|---|---|
5535553 | Meantone[7]; diatonic scale | |
5355553 | Melodic minor scale | |
5355373 | Harmonic minor scale; inverse harmonic major | |
5535373 | Harmonic major scale; inverse harmonic minor | |
5533555 | Major locrian scale | |
3717355 | Diminished diatonic scale | Strange Diatonic by Chris Vaisvil play Omega centauri by Zach Curley |
5535643 | Enharmonic major; inverse enharmonic minor | |
5346535 | Enharmonic minor; inverse enharmonic major | |
5535625 | Enharmonic mixolydian | |
5526535 | Inverse enharmonic mixolydian | |
5526355 | Enharmonic major-minor | |
5553625 | Inverse enharmonic major-minor | |
6435625 | Major doubleflat; inverse minor doubleflat | |
5346526 | Minor doubleflat; inverse major doubleflat | |
5553652 | Ping | |
3555256 | Inverse ping | |
3726355 | Alhijaz; inverse ambika | |
6273553 | Ambika; inverse alhijaz | |
6453652 | Kung; inverse ousak | |
3546256 | Ousak; inverse kung |
Valentine
6446272 | Silver |
6444472 | Harmonia |
4446274 | Inverse harmonia |
6444562 | Pendragon |
4626544 | Inverse pendragon |
6264463 | Hipop |
4626364 | Inverse Hipop |
4626445 | Malakon |
4626454 | Inverse malakon |
4464526 | Bagpipe |
4644625 | Inverse bagpipe |
6444625 | Pitu |
6444652 | Inverse pitu |
6444445 | Porch |
4446544 | Inverse porch |
Miracle type
5436346 | Subdom scale; inverse superton |
5643634 | Superton scale; inverse subdom |
5436364 | Nudia; neutral diatonic |
5463634 | Inverse nudia |
3636346 | Nurow; Neutral triads in row |
6363643 | Inverse nurow |
Mohajira type
4554454 | Sikah; Rast; Neutral Diatonic Hypolydian |
4444555 | Sheimanic |
4554445 | Thaiic |
4544455 | Inverse thaiic |
4545454 | Mohajira; Neutral Dorian |
Hemiwuerschmidt type
5555515 | Hemiwuerschmidt/Hemithirds[7] |
5544652 | Hemaj; inverse hemin |
4455256 | Hemin; inverse hemaj |
4525546 | Gypsi; 11/9-10/7-7/4 chord on tonic |
4552546 | Inverse gypsi; 11/9-10/7-7/4 chord on tonic |
5555542 | Leadhole |
5555524 | Inverse leadhole |
Mothra type
5553643 | Lydic |
5553463 | Inverse lydic |
5535463 | Ionic |
5364535 | Aeolic; inverse ionic |
4644463 | Quahog |
6444643 | Inverse quahog |
6453643 | Higasi |
4635463 | Inverse higasi |
Orwell type
5364463 | Orminor |
4644643 | Ormed |
4644364 | Augton |
4644634 | Inverse augton |
Breed type
3456265 | Hemisub |
4356265 | Inverse hemisub |
6354535 | Heminewt |
4536535 | Inverse heminewt |