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[edit]
| 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[edit]
| 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[edit]
| 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[edit]
| 4554454
|
Sikah; Rast; Neutral Diatonic Hypolydian
|
| 4444555
|
Sheimanic
|
| 4554445
|
Thaiic
|
| 4544455
|
Inverse thaiic
|
| 4545454
|
Mohajira; Neutral Dorian
|
Hemiwuerschmidt type[edit]
| 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[edit]
| 5553643
|
Lydic
|
| 5553463
|
Inverse lydic
|
| 5535463
|
Ionic
|
| 5364535
|
Aeolic; inverse ionic
|
| 4644463
|
Quahog
|
| 6444643
|
Inverse quahog
|
| 6453643
|
Higasi
|
| 4635463
|
Inverse higasi
|
Orwell type[edit]
| 5364463
|
Orminor
|
| 4644643
|
Ormed
|
| 4644364
|
Augton
|
| 4644634
|
Inverse augton
|
Breed type[edit]
| 3456265
|
Hemisub
|
| 4356265
|
Inverse hemisub
|
| 6354535
|
Heminewt
|
| 4536535
|
Inverse heminewt
|