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m →Various subsets: this is in the 31edo modes article
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=== Various subsets ===
=== Various subsets ===
A large open list of subsets from 31edo that people have named: [[31edo modes]]. [[Strictly proper]] [[Strictly proper 7-note 31edo scales|7-note 31edo scales]] in the sense of [[David Rothenberg]]. Interesting (to somebody) [[9-note 31edo scales]]. See also [[31edo MOS scales]]. Some of the popular ones:
A large open list of subsets from 31edo that people have named:  
* [[31edo modes]].
* [[Strictly proper]] [[Strictly proper 7-note 31edo scales|7-note 31edo scales]] in the sense of [[David Rothenberg]].  
* Interesting (to somebody) [[9-note 31edo scales]].  
* See also [[31edo MOS scales]].  
 
Some of the popular ones:


* 31-tone major: 5 5 3 5 5 5 3
* 31-tone major: 5 5 3 5 5 5 3
Line 4,632: Line 4,638:
* Harmonic scale 8: 5 5 4 4 4 3 3 3
* Harmonic scale 8: 5 5 4 4 4 3 3 3
* the [[Euler-Fokker genera]] (technically [[JI]] but representable in 31)
* the [[Euler-Fokker genera]] (technically [[JI]] but representable in 31)
{| class="wikitable"
|+ Some 31-edo subsets
|-
| | <tt>'''2 3 3 2 3 2 3 2 3 3 2 3'''</tt>
| | Meantone Chromatic (53/220-comma)
|-
| | <tt>'''5 5 3 5 5 5 3'''</tt>
| | Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
|-
| | <tt>'''5 3 5 5 3 5 5'''</tt>
| | Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
|-
| | <tt>'''5 3 5 5 5 5 3'''</tt>
| | Thirty-one tone Melodic Minor
|-
| | <tt>'''5 3 5 5 3 7 3'''</tt>
| | Thirty-one tone Harmonic Minor
|-
| | <tt>'''5 5 3 5 3 7 3'''</tt>
| | Thirty-one tone Harmonic Major
|-
| | <tt>'''5 5 3 5 3 5 5'''</tt>
| | Thirty-one tone Major-Minor
|-
| | <tt>'''5 8 5 13'''</tt>
| | Genus primum
|-
| | <tt>'''10 3 5 5 5 3'''</tt>
| | Genus secundum
|-
| | <tt>'''8 2 8 3 7 3'''</tt>
| | Genus tertium
|-
| | <tt>'''10 10 10 1'''</tt>
| | Genus quartum
|-
| | <tt>'''5 7 6 7 5 1'''</tt>
| | Genus quintum
|-
| | <tt>'''4 6 2 6 4 3 3 3'''</tt>
| | Genus sextum
|-
| | <tt>'''4 6 5 6 4 6'''</tt>
| | Genus septimum
|-
| | <tt>'''6 6 6 1 6 6'''</tt>
| | Genus octavum
|-
| | <tt>'''4 6 9 6 4 2'''</tt>
| | Genus nonum
|-
| | <tt>'''13 6 6 6'''</tt>
| | Genus decimum
|-
| | <tt>'''5 5 3 5 5 3 2 3'''</tt>
| | Genus diatonicum
|-
| | <tt>'''3 5 2 3 5 3 2 5 3'''</tt>
| | Genus chromaticum
|-
| | <tt>'''5 5 2 1 5 5 2 3 3'''</tt>
| | Genus diatonicum cum septimis
|-
| | <tt>'''3 4 3 3 2 1 4 1 4 1 2 3'''</tt>
| | Genus enharmonicum vocale
|-
| | <tt>'''2 2 4 2 2 3 3 3 1 3 3 3'''</tt>
| | Genus enharmonicum instrumentale
|-
| | <tt>'''3 2 3 2 3 2 3 3 2 3 2 3'''</tt>
| | Genus diatonico-chromaticum
|-
| | <tt>'''5 2 1 2 5 3 2 1 4 1 2 3'''</tt>
| | Genus bichromaticum
|-
| | <tt>'''4 4 5 4 4 5 5'''</tt>
| | Neutral Diatonic Mixolydian
|-
| | <tt>'''4 5 4 4 5 5 4'''</tt>
| | Neutral Diatonic Lydian
|-
| | <tt>'''5 4 4 5 5 4 4'''</tt>
| | Neutral Diatonic Phrygian
|-
| | <tt>'''4 4 5 5 4 4 5'''</tt>
| | Neutral Diatonic Dorian
|-
| | <tt>'''4 5 5 4 4 5 4'''</tt>
| | Neutral Diatonic Hypolydian
|-
| | <tt>'''5 5 4 4 5 4 4'''</tt>
| | Neutral Diatonic Hypophrygian
|-
| | <tt>'''5 4 4 5 4 4 5'''</tt>
| | Neutral Diatonic Hypodorian
|-
| | <tt>'''4 5 4 4 5 4 5'''</tt>
| | Neutral Mixolydian
|-
| | <tt>'''5 4 4 5 4 5 4'''</tt>
| | Neutral Lydian
|-
| | <tt>'''4 4 5 4 5 4 5'''</tt>
| | Neutral Phrygian
|-
| | <tt>'''4 5 4 5 4 5 4'''</tt>
| | Neutral Dorian
|-
| | <tt>'''5 4 5 4 5 4 4'''</tt>
| | Neutral Hypolydian
|-
| | <tt>'''4 5 4 5 4 4 5'''</tt>
| | Neutral Hypophrygian
|-
| | <tt>'''5 4 5 4 4 5 4'''</tt>
| | Neutral Hypodorian
|-
| | <tt>'''2 2 9 2 2 9 5'''</tt>
| | Hemiolic Chromatic Mixolydian
|-
| | <tt>'''2 9 2 2 9 5 2'''</tt>
| | Hemiolic Chromatic Lydian
|-
| | <tt>'''9 2 2 9 5 2 2'''</tt>
| | Hemiolic Chromatic Phrygian
|-
| | <tt>'''2 2 9 5 2 2 9'''</tt>
| | Hemiolic Chromatic Dorian
|-
| | <tt>'''2 9 5 2 2 9 2'''</tt>
| | Hemiolic Chromatic Hypolydian
|-
| | <tt>'''9 5 2 2 9 2 2'''</tt>
| | Hemiolic Chromatic Hypophrygian
|-
| | <tt>'''5 2 2 9 2 2 9'''</tt>
| | Hemiolic Chromatic Hypodorian
|-
| | <tt>'''2 3 8 2 3 8 5'''</tt>
| | Ratio 2:3 Chromatic Mixolydian
|-
| | <tt>'''3 8 2 3 8 5 2'''</tt>
| | Ratio 2:3 Chromatic Lydian
|-
| | <tt>'''8 2 3 8 5 2 3'''</tt>
| | Ratio 2:3 Chromatic Phrygian
|-
| | <tt>'''2 3 8 5 2 3 8'''</tt>
| | Ratio 2:3 Chromatic Dorian
|-
| | <tt>'''3 8 5 2 3 8 2'''</tt>
| | Ratio 2:3 Chromatic Hypolydian
|-
| | <tt>'''8 5 2 3 8 2 3'''</tt>
| | Ratio 2:3 Chromatic Hypophrygian
|-
| | <tt>'''5 2 3 8 2 3 8'''</tt>
| | Ratio 2:3 Chromatic Hypodorian
|-
| | <tt>'''3 5 5 3 5 5 5'''</tt>
| | Intense Diatonic Mixolydian, M.Locrian
|-
| | <tt>'''5 3 5 5 5 3 5'''</tt>
| | Intense Diatonic Phrygian, M.Dorian
|-
| | <tt>'''3 5 5 5 3 5 5'''</tt>
| | Intense Diatonic Dorian, M.Phrygian
|-
| | <tt>'''5 5 5 3 5 5 3'''</tt>
| | Intense Diatonic Hypolydian, M.Lydian
|-
| | <tt>'''5 5 3 5 5 3 5'''</tt>
| | Intense Diatonic Hypophrygian, M.Mixolydian
|-
| | <tt>'''2 5 6 2 5 6 5'''</tt>
| | Soft Diatonic Mixolydian
|-
| | <tt>'''5 6 2 5 6 5 2'''</tt>
| | Soft Diatonic Lydian
|-
| | <tt>'''6 2 5 6 5 2 5'''</tt>
| | Soft Diatonic Phrygian
|-
| | <tt>'''2 5 6 5 2 5 6'''</tt>
| | Soft Diatonic Dorian
|-
| | <tt>'''5 6 5 2 5 6 2'''</tt>
| | Soft Diatonic Hypolydian
|-
| | <tt>'''6 5 2 5 6 2 5'''</tt>
| | Soft Diatonic Hypophrygian
|-
| | <tt>'''5 2 5 6 2 5 6'''</tt>
| | Soft Diatonic Hypodorian
|-
| | <tt>'''1 2 10 1 2 10 5'''</tt>
| | Enharmonic Mixolydian
|-
| | <tt>'''2 10 1 2 10 5 1'''</tt>
| | Enharmonic Lydian
|-
| | <tt>'''10 1 2 10 5 1 2'''</tt>
| | Enharmonic Phrygian
|-
| | <tt>'''1 2 10 5 1 2 10'''</tt>
| | Enharmonic Dorian
|-
| | <tt>'''2 10 5 1 2 10 1'''</tt>
| | Enharmonic Hypolydian
|-
| | <tt>'''10 5 1 2 10 1 2'''</tt>
| | Enharmonic Hypophrygian
|-
| | <tt>'''5 1 2 10 1 2 10'''</tt>
| | Enharmonic Hypodorian
|-
| | <tt>'''6 6 7 6 6'''</tt>
| | Quasi-equal Pentatonic
|-
| | <tt>'''3 2 2 3 3 2 3 3 2 2 3 3'''</tt>
| | Fokker 12-tone
|-
| | <tt>'''5 3 5 3 5 2 5 3'''</tt>
| | Modus conjunctus
|-
| | <tt>'''3 5 2 5 3 5 3 5'''</tt>
| | Octatonic
|-
| | <tt>'''3 3 4 3 5 3 4 3 3'''</tt>
| | Hahn symmetric pentachordal
|-
| | <tt>'''3 4 3 3 5 3 4 3 3'''</tt>
| | Hahn pentachordal
|-
| | <tt>'''4 4 2 5 3 3 4 3 3'''</tt>
| | Hahn Nonatonic
|-
| | <tt>'''5 1 5 1 5 1 5 1 5 1 1'''</tt>
| | de Vries 11-tone
|-
| | <tt>'''4 1 4 4 4 1 4 4 1 4'''</tt>
| | Breed 10-tone
|-
| | <tt>'''4 2 4 2 4 2 4 3 3 3'''</tt>
| | Lumma Decatonic
|-
| | <tt>'''5 3 3 3 3 5 3 3 3'''</tt>
| | Rothenberg Generalized Diatonic
|-
| | <tt>'''5 2 6 5 2 5 6'''</tt>
| | "Septimal" Natural Minor
|-
| | <tt>'''4 3 4 3 4 3 4 3 3'''</tt>
| | Thirty-one tone Orwell
|-
| | <tt>'''2 5 2 2 5 2 2 2 5 2 2'''</tt>
| | Secor Sentinel
|}


== Trivia ==
== Trivia ==
Retrieved from "https://en.xen.wiki/w/31edo"