31edo modes: Difference between revisions

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== Nothing special ==
== Nothing special ==
Or, to some, the only important thing.
Or, to some, the only important thing.


{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''2 3 3 2 3 2 3 2 3 3 2 3'''</tt>
| {{plaincode|'''2 3 3 2 3 2 3 2 3 3 2 3'''}}
| Meantone Chromatic (53/220-comma)
| Meantone Chromatic (53/220-comma)
|-
|-
| <tt>'''5 5 3 5 5 5 3'''</tt>
| {{plaincode|'''5 5 3 5 5 5 3'''}}
| Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
| Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
|-
|-
| <tt>'''5 3 5 5 3 5 5'''</tt>
| {{plaincode|'''5 3 5 5 3 5 5'''}}
| Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
| Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
|-
|-
| <tt>'''5 3 5 5 5 5 3'''</tt>
| {{plaincode|'''5 5 8 5 8'''}}
| Thirty-one tone Major Pentatonic
|-
| {{plaincode|'''5 3 5 5 5 5 3'''}}
| Thirty-one tone Melodic Minor
| Thirty-one tone Melodic Minor
|-
|-
| <tt>'''5 3 5 5 3 7 3'''</tt>
| {{plaincode|'''5 3 5 5 3 7 3'''}}
| Thirty-one tone Harmonic Minor
| Thirty-one tone Harmonic Minor
|-
|-
| <tt>'''5 5 3 5 3 7 3'''</tt>
| {{plaincode|'''5 5 3 5 3 7 3'''}}
| Thirty-one tone Harmonic Major
| Thirty-one tone Harmonic Major
|-
|-
| <tt>'''5 5 3 5 3 5 5'''</tt>
| {{plaincode|'''5 5 3 5 3 5 5'''}}
| Thirty-one tone Major-Minor
| Thirty-one tone Major-Minor
|-
|-
| <tt>'''5 2 6 5 2 5 6'''</tt>
| {{plaincode|'''8 2 8 2 8 3'''}}
| Thirty-one tone Augmented
|-
| {{plaincode|'''3 5 2 5 3 5 3 5'''}}
| Thirty-one tone Diminished
|-
| {{plaincode|'''5 2 6 5 2 5 6'''}}
| "Septimal" Natural Minor
| "Septimal" Natural Minor
|}
|}


== MOS ==
== MOS ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''4 5 4 5 4 5 4'''</tt>
| {{plaincode|'''4 5 4 5 4 5 4'''}}
| Neutral[7]
| Neutral[7]
|-
|-
| <tt>'''4 1 4 4 4 1 4 4 1 4'''</tt>
| {{plaincode|'''4 1 4 4 4 1 4 4 1 4'''}}
| Breed 10-tone / Neutral[10]
| Breed 10-tone / Neutral[10]
|-
|-
| <tt>'''7 7 7 7 3'''</tt>
| {{plaincode|'''7 7 7 7 3'''}}
| Orwell[5]
| Orwell[5]
|-
|-
| <tt>'''4 3 4 3 4 3 4 3 3'''</tt>
| {{plaincode|'''4 3 4 3 4 3 4 3 3'''}}
| Orwell[9]
| Orwell[9]
|-
|-
| <tt>'''3 1 3 3 1 3 3 1 3 3 1 3 3'''</tt>
| {{plaincode|'''3 1 3 3 1 3 3 1 3 3 1 3 3'''}}
| Orwell[13]
| Orwell[13]
|-
|-
| <tt>'''9 9 2 9 2'''</tt>
| {{plaincode|'''9 9 2 9 2'''}}
| Squares[5]
| Squares[5]
|-
|-
| <tt>'''2 7 2 7 2 2 7 2'''</tt>
| {{plaincode|'''2 7 2 7 2 2 7 2'''}}
| Squares[8]
| Squares[8]
|-
|-
| <tt>'''2 5 2 2 2 5 2 2 2 5 2'''</tt>
| {{plaincode|'''2 5 2 2 2 5 2 2 2 5 2'''}}
| Secor/Barton no-fives / Squares[11]
| Secor/Barton no-fives / Squares[11]
|-
|-
| <tt>'''5 5 5 5 5 6'''</tt>
| {{plaincode|'''5 5 5 5 5 6'''}}
| Whole Tone / Tutone[6]
| Whole Tone / Tutone[6]
|-
|-
| <tt>'''4 1 4 1 4 1 4 1 4 1 4 1 1'''</tt>
| {{plaincode|'''4 1 4 1 4 1 4 1 4 1 4 1 1'''}}
| Tutone[13]
| Tutone[13]
|-
|-
| <tt>'''6 6 6 6 1 6'''</tt>
| {{plaincode|'''6 6 6 6 1 6'''}}
| Mothra[6]
| Mothra[6]
|-
|-
| <tt>'''5 1 5 1 5 1 5 1 5 1 1'''</tt>
| {{plaincode|'''5 1 5 1 5 1 5 1 5 1 1'''}}
| de Vries 11-tone / Mothra[11]
| de Vries 11-tone / Mothra[11]
|-
|-
| <tt>'''3 4 3 3 3 3 3 3 3 3'''</tt>
| {{plaincode|'''3 4 3 3 3 3 3 3 3 3'''}}
| Miracle[10]
| Miracle[10]
|-
|-
| <tt>'''3 4 4 4 4 4 4 4'''</tt>
| {{plaincode|'''1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1'''}}
| Blackjack / Miracle[21]
|-
| {{plaincode|'''3 4 4 4 4 4 4 4'''}}
| Greeley[8]
| Greeley[8]
|-
|-
| <tt>'''3 1 3 1 3 1 3 1 3 1 3 1 3 1 3'''</tt>
| {{plaincode|'''3 1 3 1 3 1 3 1 3 1 3 1 3 1 3'''}}
| Pseudo-Porcupine 15-note / Nusecond[15]
| Pseudo-Porcupine 15-note / Nusecond[15]
|-
|-
| <tt>'''2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2'''</tt>
| {{plaincode|'''2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2'''}}
| Semi-Equalized Armodue / Valentine[15]
| Semi-Equalized Armodue / Valentine[16]
|-
|-
| <tt>'''5 7 5 7 7'''</tt>
| {{plaincode|'''5 7 5 7 7'''}}
| A-Team[5]
| A-Team[5]
|-
|-
| <tt>'''5 5 2 5 5 2 5 2'''</tt>
| {{plaincode|'''5 5 2 5 5 2 5 2'''}}
| Oneirotonic / A-Team[8]
| Oneirotonic / A-Team[8]
|-
|-
| <tt>'''3 2 3 2 2 3 2 2 3 2 3 2 2'''</tt>
| {{plaincode|'''3 2 3 2 2 3 2 2 3 2 3 2 2'''}}
| A-Team[13]
| A-Team[13]
|-
|-
| <tt>'''11 3 11 3 3'''</tt>
| {{plaincode|'''11 3 11 3 3'''}}
| Joan[5]
| Joan[5]
|-
|-
| <tt>'''8 3 3 8 3 3 3'''</tt>
| {{plaincode|'''8 3 3 8 3 3 3'''}}
| Hypermavila / Joan[7]
| Hypermavila / Joan[7]
|-
|-
| <tt>'''5 3 3 3 3 5 3 3 3'''</tt>
| {{plaincode|'''5 3 3 3 3 5 3 3 3'''}}
| Rothenberg Generalized Diatonic / Joan[9]
| Rothenberg Generalized Diatonic / Joan[9]
|-
|-
| <tt>'''3 2 3 3 3 3 2 3 3 3 3'''</tt>
| {{plaincode|'''3 2 3 3 3 3 2 3 3 3 3'''}}
| Joan[11]
| Joan[11]
|-
|-
| <tt>'''8 1 1 8 1 1 8 1 1 1'''</tt>
| {{plaincode|'''8 1 1 8 1 1 8 1 1 1'''}}
| Würschmidt[10]
| Würschmidt[10]
|-
|-
| <tt>'''1 1 6 1 1 6 1 1 6 1 6'''</tt>
| {{plaincode|'''1 1 6 1 1 6 1 1 6 1 6'''}}
| Myna[11]
| Myna[11]
|-
|-
| <tt>'''1 1 12 1 1 1 1 12 1'''</tt>
| {{plaincode|'''1 1 12 1 1 1 1 12 1'''}}
| Tritonic[9]
| Tritonic[9]
|}
|}
Line 118: Line 128:
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''3 4 3 4 4 3 4 3 3'''</tt>
| {{plaincode|'''3 4 3 4 4 3 4 3 3'''}}
| Graham Orwell
| Graham Orwell
|-
|-
| <tt>'''5 4 4 5 5 4 4'''</tt>
| {{plaincode|'''5 4 4 5 5 4 4'''}}
| Maqam Rast
| Maqam Rast
|-
|-
| <tt>'''4 4 5 5 3 5 5'''</tt>
| {{plaincode|'''4 4 5 5 3 5 5'''}}
| Maqam Bayati
| Maqam Bayati
|-
|-
| <tt>'''5 5 3 5 4 5 4'''</tt>
| {{plaincode|'''5 5 3 5 4 5 4'''}}
| Turkish Major
| Turkish Major
|-
|-
| <tt>'''4 5 5 4 4 4 5'''</tt>
| {{plaincode|'''4 5 5 4 4 4 5'''}}
| Thaiic
| Thaiic
|-
|-
| <tt>'''7 2 7 2 7 2 2 2'''</tt>
| {{plaincode|'''4 4 4 4 5 5 5'''}}
| Sheimanic
|-
| {{plaincode|'''5 5 4 4 5 5 3'''}}
| Screamapillar
|-
| {{plaincode|'''5 3 5 5 5 4 4'''}}
| Altered Dorian
|-
| {{plaincode|'''3 5 5 5 5 4 4'''}}
| Altered Neapolitan Major
|-
| {{plaincode|'''7 2 7 2 7 2 2 2'''}}
| Onydim
| Onydim
|-
|-
| <tt>'''5 5 2 2 2 2 5 2 2 2 2'''</tt>
| {{plaincode|'''5 5 2 2 2 2 5 2 2 2 2'''}}
| Squares Major
| Squares Major
|-
|-
| <tt>'''5 5 4 6 5 6'''</tt>
| {{plaincode|'''5 5 4 6 5 6'''}}
| Harmonic Whole Tone
| Harmonic Whole Tone
|-
|-
| <tt>'''5 5 5 2 5 2 5 2'''</tt>
| {{plaincode|'''5 5 5 2 5 2 5 2'''}}
| Dylydian
| Dylydian / Archeodim
|-
|-
| <tt>'''5 2 5 2 5 2 8 2'''</tt>
| {{plaincode|'''5 2 5 2 5 2 8 2'''}}
| Harmonic Mnarian
| Harmonic Mnarian
|-
|-
| <tt>'''7 6 5 7 6'''</tt>
| {{plaincode|'''3 4 3 2 3 3 3 4 3 3'''}}
| Miracle Major
|-
| {{plaincode|'''3 4 3 4 4 5 4 4'''}}
| Greeley Major
|-
| {{plaincode|'''7 6 5 7 6'''}}
| Subminor Pentatonic
| Subminor Pentatonic
|-
|-
| <tt>'''5 6 7 6 7'''</tt>
| {{plaincode|'''5 6 7 6 7'''}}
| Supermajor Pentatonic
| Supermajor Pentatonic
|-
| {{plaincode|'''1 6 1 1 1 6 1 1 6 1 6'''}}
| Submyna
|}
|}


Line 158: Line 189:
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''1 7 1 2 1 7 1 2 1 7 1'''</tt>
| {{plaincode|'''1 7 1 2 1 7 1 2 1 7 1'''}}
| Nested Bees
| Nested Bees
|-
|-
| <tt>'''3 1 6 1 3 3 1 6 1 3 3'''</tt>
| {{plaincode|'''3 1 6 1 3 3 1 6 1 3 3'''}}
| Arc Aurelius
| Arc Aurelius
|-
|-
| <tt>'''5 4 5 4 2 5 4 2'''</tt>
| {{plaincode|'''5 4 5 4 2 5 4 2'''}}
| Xenosquare
| Xenosquare
|-
|-
| <tt>'''4 2 4 2 4 2 4 3 3 3'''</tt>
| {{plaincode|'''5 4 5 3 5 4 5'''}}
| Scorp
|-
| {{plaincode|'''5 6 2 5 5 6 2'''}}
| Harrison Major
|-
| {{plaincode|'''4 2 4 2 4 2 4 3 3 3'''}}
| Lumma Decatonic
| Lumma Decatonic
|-
| {{plaincode|'''8 2 8 2 8 2 1'''}}
| AugmentedPlus
|}
|}


== Hexany ==
== Hexany ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''5 5 8 5 5 3'''</tt>
| {{plaincode|'''5 5 8 5 5 3'''}}
| 1-3-5-9
| 1-3-5-9
|-
|-
| <tt>'''5 6 7 6 5 2'''</tt>
| {{plaincode|'''5 6 7 6 5 2'''}}
| 1-3-7-9
| 1-3-7-9
|-
|-
| <tt>'''3 7 6 2 6 7'''</tt>
| {{plaincode|'''3 7 6 2 6 7'''}}
| 1-3-5-7
| 1-3-5-7
|-
|-
| <tt>'''9 4 1 4 9 4'''</tt>
| {{plaincode|'''9 4 1 4 9 4'''}}
| 1-3-9-11
| 1-3-9-11
|-
|-
| <tt>'''4 4 6 4 4 9'''</tt>
| {{plaincode|'''4 4 6 4 4 9'''}}
| 1-3-5-11
| 1-3-5-11
|-
|-
| <tt>'''4 7 7 7 4 2'''</tt>
| {{plaincode|'''4 7 7 7 4 2'''}}
| 1-3-7-11
| 1-3-7-11
|-
|-
| <tt>'''8 4 6 4 8 1'''</tt>
| {{plaincode|'''8 4 6 4 8 1'''}}
| 1-3-5-13
| 1-3-5-13
|}
|}


== Harmonic Series ==
== Harmonic Series ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''8 7 6 5 5'''</tt>
| {{plaincode|'''8 7 6 5 5'''}}
| Mode 5
| Mode 5
|-
|-
| <tt>'''7 6 5 5 4 4'''</tt>
| {{plaincode|'''7 6 5 5 4 4'''}}
| Mode 6
| Mode 6
|-
|-
| <tt>'''6 5 5 4 4 4 3'''</tt>
| {{plaincode|'''6 5 5 4 4 4 3'''}}
| Mode 7
| Mode 7
|-
|-
| <tt>'''5 5 4 4 4 3 3 3'''</tt>
| {{plaincode|'''5 5 4 4 4 3 3 3'''}}
| Mode 8
| Mode 8
|-
|-
| <tt>'''4 4 4 3 3 3 3 2 3 2'''</tt>
| {{plaincode|'''4 4 4 3 3 3 3 2 3 2'''}}
| Mode 10
| Mode 10
|-
|-
| <tt>'''4 3 3 3 3 2 3 2 2 2 2 2'''</tt>
| {{plaincode|'''4 3 3 3 3 2 3 2 2 2 2 2'''}}
| Mode 12
| Mode 12
|-
|-
| <tt>'''3 3 3 2 3 2 2 2 2 2 2 2 1 2'''</tt>
| {{plaincode|'''3 3 3 2 3 2 2 2 2 2 2 2 1 2'''}}
| Mode 14
| Mode 14
|-
| {{plaincode|'''3 2 3 2 2 2 2 2 2 2 1 2 2 1 2 1'''}}
| Mode 16
|-
| {{plaincode|'''4 4 5 5 6 7'''}}
| Mode 6-over
|-
| {{plaincode|'''2 3 3 3 3 4 4 4 5'''}}
| Mode 9-over
|-
| {{plaincode|'''1 2 2 1 2 2 2 2 2 2 2 3 2 3 3'''}}
| Mode 15-over
|}
|}


== Euler-Fokker genera ==
== Euler–Fokker genera ==
 
Boxy shapes from the {{nowrap|[3, 5, 7]}} lattice.
Boxy shapes from the [3,5,7] lattice.


{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''5 8 5 13'''</tt>
| {{plaincode|'''5 8 5 13'''}}
| Genus primum
| Genus primum
|-
|-
| <tt>'''10 3 5 5 5 3'''</tt>
| {{plaincode|'''10 3 5 5 5 3'''}}
| Genus secundum
| Genus secundum
|-
|-
| <tt>'''8 2 8 3 7 3'''</tt>
| {{plaincode|'''8 2 8 3 7 3'''}}
| Genus tertium
| Genus tertium
|-
|-
| <tt>'''10 10 10 1'''</tt>
| {{plaincode|'''10 10 10 1'''}}
| Genus quartum
| Genus quartum
|-
|-
| <tt>'''5 7 6 7 5 1'''</tt>
| {{plaincode|'''5 7 6 7 5 1'''}}
| Genus quintum
| Genus quintum
|-
|-
| <tt>'''4 6 2 6 4 3 3 3'''</tt>
| {{plaincode|'''4 6 2 6 4 3 3 3'''}}
| Genus sextum
| Genus sextum
|-
|-
| <tt>'''4 6 5 6 4 6'''</tt>
| {{plaincode|'''4 6 5 6 4 6'''}}
| Genus septimum
| Genus septimum
|-
|-
| <tt>'''6 6 6 1 6 6'''</tt>
| {{plaincode|'''6 6 6 1 6 6'''}}
| Genus octavum
| Genus octavum
|-
|-
| <tt>'''4 6 9 6 4 2'''</tt>
| {{plaincode|'''4 6 9 6 4 2'''}}
| Genus nonum
| Genus nonum
|-
|-
| <tt>'''13 6 6 6'''</tt>
| {{plaincode|'''13 6 6 6'''}}
| Genus decimum
| Genus decimum
|-
|-
| <tt>'''5 5 3 5 5 3 2 3'''</tt>
| {{plaincode|'''5 5 3 5 5 3 2 3'''}}
| Genus diatonicum
| Genus diatonicum
|-
|-
| <tt>'''3 5 2 3 5 3 2 5 3'''</tt>
| {{plaincode|'''3 5 2 3 5 3 2 5 3'''}}
| Genus chromaticum
| Genus chromaticum
|-
|-
| <tt>'''5 5 2 1 5 5 2 3 3'''</tt>
| {{plaincode|'''5 5 2 1 5 5 2 3 3'''}}
| Genus diatonicum cum septimis
| Genus diatonicum cum septimis
|-
|-
| <tt>'''3 4 3 3 2 1 4 1 4 1 2 3'''</tt>
| {{plaincode|'''3 4 3 3 2 1 4 1 4 1 2 3'''}}
| Genus enharmonicum vocale
| Genus enharmonicum vocale
|-
|-
| <tt>'''2 2 4 2 2 3 3 3 1 3 3 3'''</tt>
| {{plaincode|'''2 2 4 2 2 3 3 3 1 3 3 3'''}}
| Genus enharmonicum instrumentale
| Genus enharmonicum instrumentale
|-
|-
| <tt>'''3 2 3 2 3 2 3 3 2 3 2 3'''</tt>
| {{plaincode|'''3 2 3 2 3 2 3 3 2 3 2 3'''}}
| Genus diatonico-chromaticum
| Genus diatonico-chromaticum
|-
|-
| <tt>'''5 2 1 2 5 3 2 1 4 1 2 3'''</tt>
| {{plaincode|'''5 2 1 2 5 3 2 1 4 1 2 3'''}}
| Genus bichromaticum
| Genus bichromaticum
|-
|-
| <tt>'''3 1 2 4 2 4 2 4 2 1 3 3'''</tt>
| {{plaincode|'''3 1 2 4 2 4 2 4 2 1 3 3'''}}
| Genus [3577] (Joel Mandelbaum ''Andante cantabile'')
| Genus [3577] (Joel Mandelbaum ''Andante cantabile'')
|}
|}
== Strictly proper modes ==
''See [[Strictly proper 7-tone 31edo scales]]''


== Greek/tetrachord modes ==
== Greek/tetrachord modes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''4 4 5 4 4 5 5'''</tt>
| {{plaincode|'''4 4 5 4 4 5 5'''}}
| Neutral Diatonic Mixolydian
| Neutral Diatonic Mixolydian
|-
|-
| <tt>'''4 5 4 4 5 5 4'''</tt>
| {{plaincode|'''4 5 4 4 5 5 4'''}}
| Neutral Diatonic Lydian
| Neutral Diatonic Lydian
|-
|-
| <tt>'''5 4 4 5 5 4 4'''</tt>
| {{plaincode|'''5 4 4 5 5 4 4'''}}
| Neutral Diatonic Phrygian
| Neutral Diatonic Phrygian
|-
|-
| <tt>'''4 4 5 5 4 4 5'''</tt>
| {{plaincode|'''4 4 5 5 4 4 5'''}}
| Neutral Diatonic Dorian
| Neutral Diatonic Dorian
|-
|-
| <tt>'''4 5 5 4 4 5 4'''</tt>
| {{plaincode|'''4 5 5 4 4 5 4'''}}
| Neutral Diatonic Hypolydian
| Neutral Diatonic Hypolydian
|-
|-
| <tt>'''5 5 4 4 5 4 4'''</tt>
| {{plaincode|'''5 5 4 4 5 4 4'''}}
| Neutral Diatonic Hypophrygian
| Neutral Diatonic Hypophrygian
|-
|-
| <tt>'''5 4 4 5 4 4 5'''</tt>
| {{plaincode|'''5 4 4 5 4 4 5'''}}
| Neutral Diatonic Hypodorian
| Neutral Diatonic Hypodorian
|-
|-
| <tt>'''4 5 4 4 5 4 5'''</tt>
| {{plaincode|'''4 5 4 4 5 4 5'''}}
| Neutral Mixolydian
| Neutral Mixolydian
|-
|-
| <tt>'''5 4 4 5 4 5 4'''</tt>
| {{plaincode|'''5 4 4 5 4 5 4'''}}
| Neutral Lydian
| Neutral Lydian
|-
|-
| <tt>'''4 4 5 4 5 4 5'''</tt>
| {{plaincode|'''4 4 5 4 5 4 5'''}}
| Neutral Phrygian
| Neutral Phrygian
|-
|-
| <tt>'''4 5 4 5 4 5 4'''</tt>
| {{plaincode|'''4 5 4 5 4 5 4'''}}
| Neutral Dorian
| Neutral Dorian
|-
|-
| <tt>'''5 4 5 4 5 4 4'''</tt>
| {{plaincode|'''5 4 5 4 5 4 4'''}}
| Neutral Hypolydian
| Neutral Hypolydian
|-
|-
| <tt>'''4 5 4 5 4 4 5'''</tt>
| {{plaincode|'''4 5 4 5 4 4 5'''}}
| Neutral Hypophrygian
| Neutral Hypophrygian
|-
|-
| <tt>'''5 4 5 4 4 5 4'''</tt>
| {{plaincode|'''5 4 5 4 4 5 4'''}}
| Neutral Hypodorian
| Neutral Hypodorian
|-
|-
| <tt>'''2 2 9 2 2 9 5'''</tt>
| {{plaincode|'''2 2 9 2 2 9 5'''}}
| Hemiolic Chromatic Mixolydian
| Hemiolic Chromatic Mixolydian
|-
|-
| <tt>'''2 9 2 2 9 5 2'''</tt>
| {{plaincode|'''2 9 2 2 9 5 2'''}}
| Hemiolic Chromatic Lydian
| Hemiolic Chromatic Lydian
|-
|-
| <tt>'''9 2 2 9 5 2 2'''</tt>
| {{plaincode|'''9 2 2 9 5 2 2'''}}
| Hemiolic Chromatic Phrygian
| Hemiolic Chromatic Phrygian
|-
|-
| <tt>'''2 2 9 5 2 2 9'''</tt>
| {{plaincode|'''2 2 9 5 2 2 9'''}}
| Hemiolic Chromatic Dorian
| Hemiolic Chromatic Dorian
|-
|-
| <tt>'''2 9 5 2 2 9 2'''</tt>
| {{plaincode|'''2 9 5 2 2 9 2'''}}
| Hemiolic Chromatic Hypolydian
| Hemiolic Chromatic Hypolydian
|-
|-
| <tt>'''9 5 2 2 9 2 2'''</tt>
| {{plaincode|'''9 5 2 2 9 2 2'''}}
| Hemiolic Chromatic Hypophrygian
| Hemiolic Chromatic Hypophrygian
|-
|-
| <tt>'''5 2 2 9 2 2 9'''</tt>
| {{plaincode|'''5 2 2 9 2 2 9'''}}
| Hemiolic Chromatic Hypodorian
| Hemiolic Chromatic Hypodorian
|-
|-
| <tt>'''2 3 8 2 3 8 5'''</tt>
| {{plaincode|'''2 3 8 2 3 8 5'''}}
| Ratio 2:3 Chromatic Mixolydian
| Ratio 2:3 Chromatic Mixolydian
|-
|-
| <tt>'''3 8 2 3 8 5 2'''</tt>
| {{plaincode|'''3 8 2 3 8 5 2'''}}
| Ratio 2:3 Chromatic Lydian
| Ratio 2:3 Chromatic Lydian
|-
|-
| <tt>'''8 2 3 8 5 2 3'''</tt>
| {{plaincode|'''8 2 3 8 5 2 3'''}}
| Ratio 2:3 Chromatic Phrygian
| Ratio 2:3 Chromatic Phrygian
|-
|-
| <tt>'''2 3 8 5 2 3 8'''</tt>
| {{plaincode|'''2 3 8 5 2 3 8'''}}
| Ratio 2:3 Chromatic Dorian
| Ratio 2:3 Chromatic Dorian
|-
|-
| <tt>'''3 8 5 2 3 8 2'''</tt>
| {{plaincode|'''3 8 5 2 3 8 2'''}}
| Ratio 2:3 Chromatic Hypolydian
| Ratio 2:3 Chromatic Hypolydian
|-
|-
| <tt>'''8 5 2 3 8 2 3'''</tt>
| {{plaincode|'''8 5 2 3 8 2 3'''}}
| Ratio 2:3 Chromatic Hypophrygian
| Ratio 2:3 Chromatic Hypophrygian
|-
|-
| <tt>'''5 2 3 8 2 3 8'''</tt>
| {{plaincode|'''5 2 3 8 2 3 8'''}}
| Ratio 2:3 Chromatic Hypodorian
| Ratio 2:3 Chromatic Hypodorian
|-
|-
| <tt>'''3 5 5 3 5 5 5'''</tt>
| {{plaincode|'''3 5 5 3 5 5 5'''}}
| Intense Diatonic Mixolydian, M.Locrian
| Intense Diatonic Mixolydian, M.Locrian
|-
|-
| <tt>'''5 3 5 5 5 3 5'''</tt>
| {{plaincode|'''5 3 5 5 5 3 5'''}}
| Intense Diatonic Phrygian, M.Dorian
| Intense Diatonic Phrygian, M.Dorian
|-
|-
| <tt>'''3 5 5 5 3 5 5'''</tt>
| {{plaincode|'''3 5 5 5 3 5 5'''}}
| Intense Diatonic Dorian, M.Phrygian
| Intense Diatonic Dorian, M.Phrygian
|-
|-
| <tt>'''5 5 5 3 5 5 3'''</tt>
| {{plaincode|'''5 5 5 3 5 5 3'''}}
| Intense Diatonic Hypolydian, M.Lydian
| Intense Diatonic Hypolydian, M.Lydian
|-
|-
| <tt>'''5 5 3 5 5 3 5'''</tt>
| {{plaincode|'''5 5 3 5 5 3 5'''}}
| Intense Diatonic Hypophrygian, M.Mixolydian
| Intense Diatonic Hypophrygian, M.Mixolydian
|-
|-
| <tt>'''2 5 6 2 5 6 5'''</tt>
| {{plaincode|'''2 5 6 2 5 6 5'''}}
| Soft Diatonic Mixolydian
| Soft Diatonic Mixolydian
|-
|-
| <tt>'''5 6 2 5 6 5 2'''</tt>
| {{plaincode|'''5 6 2 5 6 5 2'''}}
| Soft Diatonic Lydian
| Soft Diatonic Lydian
|-
|-
| <tt>'''6 2 5 6 5 2 5'''</tt>
| {{plaincode|'''6 2 5 6 5 2 5'''}}
| Soft Diatonic Phrygian
| Soft Diatonic Phrygian
|-
|-
| <tt>'''2 5 6 5 2 5 6'''</tt>
| {{plaincode|'''2 5 6 5 2 5 6'''}}
| Soft Diatonic Dorian
| Soft Diatonic Dorian
|-
|-
| <tt>'''5 6 5 2 5 6 2'''</tt>
| {{plaincode|'''5 6 5 2 5 6 2'''}}
| Soft Diatonic Hypolydian
| Soft Diatonic Hypolydian
|-
|-
| <tt>'''6 5 2 5 6 2 5'''</tt>
| {{plaincode|'''6 5 2 5 6 2 5'''}}
| Soft Diatonic Hypophrygian
| Soft Diatonic Hypophrygian
|-
|-
| <tt>'''5 2 5 6 2 5 6'''</tt>
| {{plaincode|'''5 2 5 6 2 5 6'''}}
| Soft Diatonic Hypodorian
| Soft Diatonic Hypodorian
|-
|-
| <tt>'''1 2 10 1 2 10 5'''</tt>
| {{plaincode|'''1 2 10 1 2 10 5'''}}
| Enharmonic Mixolydian
| Enharmonic Mixolydian
|-
|-
| <tt>'''2 10 1 2 10 5 1'''</tt>
| {{plaincode|'''2 10 1 2 10 5 1'''}}
| Enharmonic Lydian
| Enharmonic Lydian
|-
|-
| <tt>'''10 1 2 10 5 1 2'''</tt>
| {{plaincode|'''10 1 2 10 5 1 2'''}}
| Enharmonic Phrygian
| Enharmonic Phrygian
|-
|-
| <tt>'''1 2 10 5 1 2 10'''</tt>
| {{plaincode|'''1 2 10 5 1 2 10'''}}
| Enharmonic Dorian
| Enharmonic Dorian
|-
|-
| <tt>'''2 10 5 1 2 10 1'''</tt>
| {{plaincode|'''2 10 5 1 2 10 1'''}}
| Enharmonic Hypolydian
| Enharmonic Hypolydian
|-
|-
| <tt>'''10 5 1 2 10 1 2'''</tt>
| {{plaincode|'''10 5 1 2 10 1 2'''}}
| Enharmonic Hypophrygian
| Enharmonic Hypophrygian
|-
|-
| <tt>'''5 1 2 10 1 2 10'''</tt>
| {{plaincode|'''5 1 2 10 1 2 10'''}}
| Enharmonic Hypodorian
| Enharmonic Hypodorian
|}
|}


== Of particular [[interscalar]] interest ==
== Of particular [[interscalar]] interest ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''6 6 7 6 6'''</tt>
| {{plaincode|'''6 6 7 6 6'''}}
| Quasi-equal Pentatonic
| [[Quasi-equal]] Pentatonic
|-
|-
| <tt>'''3 3 2 3 3 3 3 3 2 3 3'''</tt>
| {{plaincode|'''3 3 2 3 3 3 3 3 2 3 3'''}}
| near [[11edo|11edo]]
| near [[11edo|11edo]]
|}
|}
Line 444: Line 494:
{| class="wikitable"
{| class="wikitable"
|-
|-
|<tt>'''(5) 3 1 4 (5) (5)'''</tt> <br> <tt>'''3 1 4'''</tt>
| {{plaincode|'''(5) 3 1 4 (5) (5)'''}} <br> {{plaincode|'''3 1 4'''}}
| Michael Sheiman's "Dimension" scale (Maqam Rast mixed with Meantone Diatonic...lattice (ratio/chord map) available below <br> [[File:dimensionscale.jpg|alt=dimensionscale.jpg|512x197px|dimensionscale.jpg]]
| Michael Sheiman's "Dimension" scale (Maqam Rast mixed with Meantone Diatonic...lattice (ratio/chord map) available below <br> [[File:dimensionscale.jpg|alt=dimensionscale.jpg|512x197px|dimensionscale.jpg]]
|-
|-
|<tt>'''(3 2)3 1 4 (3 2)(3 2)'''</tt> <br> <tt>'''3 1 4'''</tt>
| {{plaincode|'''(3 2)3 1 4 (3 2)(3 2)'''}} <br> {{plaincode|'''3 1 4'''}}
| Michael Sheiman's extended 12 tone "Dimension ECT" scale (Maqam Rast mixed with Meantone Diatonic and Michael Sheiman's "6-factor" no wolves 12th harmonic scale)
| Michael Sheiman's extended 12 tone "Dimension ECT" scale (Maqam Rast mixed with Meantone Diatonic and Michael Sheiman's "6-factor" no wolves 12th harmonic scale)
|}
|}


== Miscellaneous ==
== Miscellaneous ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''4 1 4 1 3 4 1 4 1 4 1 3'''</tt>
| {{plaincode|'''4 1 4 1 3 4 1 4 1 4 1 3'''}}
| Iceface
| Iceface
|-
|-
| <tt>'''1 4 2 3 3 1 4 2 3 2 3 3'''</tt>
| {{plaincode|'''1 4 2 3 3 1 4 2 3 2 3 3'''}}
| Centaurus
| Centaurus
|-
|-
| <tt>'''3 2 2 3 3 2 3 3 2 2 3 3'''</tt>
| {{plaincode|'''3 2 2 3 3 2 3 3 2 2 3 3'''}}
| Fokker 12-tone
| Fokker 12-tone
|-
|-
| <tt>'''5 3 5 3 5 2 5 3'''</tt>
| {{plaincode|'''5 3 5 3 5 2 5 3'''}}
| Modus conjunctus
| Modus conjunctus
|-
|-
| <tt>'''3 5 2 5 3 5 3 5'''</tt>
| {{plaincode|'''2 5 3 5 3 5 2 6'''}}
| Octatonic
|-
| <tt>'''2 5 3 5 3 5 2 6'''</tt>
| Subminor Diminished
| Subminor Diminished
|-
|-
| <tt>'''2 5 3 5 5 5 6'''</tt>
| {{plaincode|'''2 5 3 5 5 5 6'''}}
| Subminor Altered
| Subminor Altered
|-
|-
| <tt>'''3 3 4 3 5 3 4 3 3'''</tt>
| {{plaincode|'''2 8 3 5 2 5 6'''}}
| Phrygian Harmonic
|-
| {{plaincode|'''5 5 3 5 5 2 3 3'''}}
| Bebop Harmonic
|-
| {{plaincode|'''5 7 1 5 7 5 1'''}}
| Tropical Major
|-
| {{plaincode|'''3 3 4 3 5 3 4 3 3'''}}
| Hahn symmetric pentachordal
| Hahn symmetric pentachordal
|-
|-
| <tt>'''3 4 3 3 5 3 4 3 3'''</tt>
| {{plaincode|'''3 4 3 3 5 3 4 3 3'''}}
| Hahn pentachordal
| Hahn pentachordal
|-
|-
| <tt>'''4 4 2 5 3 3 4 3 3'''</tt>
| {{plaincode|'''4 4 2 5 3 3 4 3 3'''}}
| Hahn Nonatonic
| Hahn Nonatonic
|-
|-
| <tt>'''8 5 2 3 6 2 5'''</tt>
| {{plaincode|'''8 5 2 3 6 2 5'''}}
|Hyperblue Dorian
| Hyperblue Dorian (this is the original/default tuning)
|-
|-
| <tt>'''8 5 2 3 2 9 2'''</tt>
| {{plaincode|'''8 5 2 3 2 9 2'''}}
|Hyperblue harmonic
| Hyperblue harmonic (this is the original/default tuning)
|-
|-
| <tt>'''3 2 3 2 2 2 2 2 2 3 2 3 3'''</tt>
| {{plaincode|'''5 5 4 8 3 6'''}}
| Harmonic Prometheus
|-
| {{plaincode|'''3 2 3 2 2 2 2 2 2 3 2 3 3'''}}
| Major Miniscale (Mode 16 x Mode 15-over)
| Major Miniscale (Mode 16 x Mode 15-over)
|-
|-
| <tt>'''7 3 4 4 7 6'''</tt>
| {{plaincode|'''7 3 4 4 7 6'''}}
| Graham Hexatonic
| Graham Hexatonic
|-
|-
| <tt>'''3 7 8 8 5'''</tt>
| {{plaincode|'''5 7 3 3 4 4 5'''}}
|[[Aurora scale|Aurora]]
| [[Maeve Gutierrez#Scale recommendations|Superlydian b7 d6]]
|-
| {{plaincode|'''3 7 8 8 5'''}}
| [[Magnetosphere scale|Magnetosphere]]
|-
| {{plaincode|'''5 4 1 3 5 2 3 6 2'''}}
| [[Oclock]]
|}
|}


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{| class="wikitable"
{| class="wikitable"
|-
|-
| <tt>'''4 2 4 2 4 2 4 2 4 2'''</tt>
| {{plaincode|'''4 2 4 2 4 2 4 2 4 2'''}}
| Blackwood
| Blackwood
|-
|-
| <tt>'''4 4 6 4 4 4 6'''</tt>
| {{plaincode|'''4 4 6 4 4 4 6'''}}
| Mavila
| Mavila
|-
|-
| <tt>'''8 2 8 2 8 2'''</tt>
| {{plaincode|'''8 2 8 2 8 2'''}}
| Suboctave Augmented
| Suboctave Augmented
|-
|-
| <tt>'''2 6 2 6 2 6 2 6'''</tt>
| {{plaincode|'''2 6 2 6 2 6 2 6'''}}
| Superoctave Diminished
| Superoctave Diminished
|-
|-
| <tt>'''4 4 3 7 3 5 3 (7)'''</tt>
| {{plaincode|'''4 4 3 7 3 5 3 (7)'''}}
| Saba
| Saba
|-
|-
| <tt>'''5 5 5 3 5 5 5'''</tt>
| {{plaincode|'''5 5 5 3 5 5 5'''}}
| Superlydian
| Superlydian
|-
| {{plaincode|''See main article''}}
| The [[Erose-McClain double mode]]s
|}
|}
== 9-tone ==
{{main|9-tone 31edo scales}}
{{Navbox scale gallery}}


[[Category:31edo]]
[[Category:31edo]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]

Latest revision as of 01:17, 17 December 2025

Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of 31edo. The numbers indicate successive intervals, in dieses. There is also a dedicated page about strictly proper 7-tone 31edo scales.

Nothing special

Or, to some, the only important thing.

2 3 3 2 3 2 3 2 3 3 2 3 Meantone Chromatic (53/220-comma)
5 5 3 5 5 5 3 Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian
5 3 5 5 3 5 5 Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian
5 5 8 5 8 Thirty-one tone Major Pentatonic
5 3 5 5 5 5 3 Thirty-one tone Melodic Minor
5 3 5 5 3 7 3 Thirty-one tone Harmonic Minor
5 5 3 5 3 7 3 Thirty-one tone Harmonic Major
5 5 3 5 3 5 5 Thirty-one tone Major-Minor
8 2 8 2 8 3 Thirty-one tone Augmented
3 5 2 5 3 5 3 5 Thirty-one tone Diminished
5 2 6 5 2 5 6 "Septimal" Natural Minor

MOS

4 5 4 5 4 5 4 Neutral[7]
4 1 4 4 4 1 4 4 1 4 Breed 10-tone / Neutral[10]
7 7 7 7 3 Orwell[5]
4 3 4 3 4 3 4 3 3 Orwell[9]
3 1 3 3 1 3 3 1 3 3 1 3 3 Orwell[13]
9 9 2 9 2 Squares[5]
2 7 2 7 2 2 7 2 Squares[8]
2 5 2 2 2 5 2 2 2 5 2 Secor/Barton no-fives / Squares[11]
5 5 5 5 5 6 Whole Tone / Tutone[6]
4 1 4 1 4 1 4 1 4 1 4 1 1 Tutone[13]
6 6 6 6 1 6 Mothra[6]
5 1 5 1 5 1 5 1 5 1 1 de Vries 11-tone / Mothra[11]
3 4 3 3 3 3 3 3 3 3 Miracle[10]
1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 Blackjack / Miracle[21]
3 4 4 4 4 4 4 4 Greeley[8]
3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 Pseudo-Porcupine 15-note / Nusecond[15]
2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 Semi-Equalized Armodue / Valentine[16]
5 7 5 7 7 A-Team[5]
5 5 2 5 5 2 5 2 Oneirotonic / A-Team[8]
3 2 3 2 2 3 2 2 3 2 3 2 2 A-Team[13]
11 3 11 3 3 Joan[5]
8 3 3 8 3 3 3 Hypermavila / Joan[7]
5 3 3 3 3 5 3 3 3 Rothenberg Generalized Diatonic / Joan[9]
3 2 3 3 3 3 2 3 3 3 3 Joan[11]
8 1 1 8 1 1 8 1 1 1 Würschmidt[10]
1 1 6 1 1 6 1 1 6 1 6 Myna[11]
1 1 12 1 1 1 1 12 1 Tritonic[9]

MODMOS

3 4 3 4 4 3 4 3 3 Graham Orwell
5 4 4 5 5 4 4 Maqam Rast
4 4 5 5 3 5 5 Maqam Bayati
5 5 3 5 4 5 4 Turkish Major
4 5 5 4 4 4 5 Thaiic
4 4 4 4 5 5 5 Sheimanic
5 5 4 4 5 5 3 Screamapillar
5 3 5 5 5 4 4 Altered Dorian
3 5 5 5 5 4 4 Altered Neapolitan Major
7 2 7 2 7 2 2 2 Onydim
5 5 2 2 2 2 5 2 2 2 2 Squares Major
5 5 4 6 5 6 Harmonic Whole Tone
5 5 5 2 5 2 5 2 Dylydian / Archeodim
5 2 5 2 5 2 8 2 Harmonic Mnarian
3 4 3 2 3 3 3 4 3 3 Miracle Major
3 4 3 4 4 5 4 4 Greeley Major
7 6 5 7 6 Subminor Pentatonic
5 6 7 6 7 Supermajor Pentatonic
1 6 1 1 1 6 1 1 6 1 6 Submyna

Cradle MOS

1 7 1 2 1 7 1 2 1 7 1 Nested Bees
3 1 6 1 3 3 1 6 1 3 3 Arc Aurelius
5 4 5 4 2 5 4 2 Xenosquare
5 4 5 3 5 4 5 Scorp
5 6 2 5 5 6 2 Harrison Major
4 2 4 2 4 2 4 3 3 3 Lumma Decatonic
8 2 8 2 8 2 1 AugmentedPlus

Hexany

5 5 8 5 5 3 1-3-5-9
5 6 7 6 5 2 1-3-7-9
3 7 6 2 6 7 1-3-5-7
9 4 1 4 9 4 1-3-9-11
4 4 6 4 4 9 1-3-5-11
4 7 7 7 4 2 1-3-7-11
8 4 6 4 8 1 1-3-5-13

Harmonic Series

8 7 6 5 5 Mode 5
7 6 5 5 4 4 Mode 6
6 5 5 4 4 4 3 Mode 7
5 5 4 4 4 3 3 3 Mode 8
4 4 4 3 3 3 3 2 3 2 Mode 10
4 3 3 3 3 2 3 2 2 2 2 2 Mode 12
3 3 3 2 3 2 2 2 2 2 2 2 1 2 Mode 14
3 2 3 2 2 2 2 2 2 2 1 2 2 1 2 1 Mode 16
4 4 5 5 6 7 Mode 6-over
2 3 3 3 3 4 4 4 5 Mode 9-over
1 2 2 1 2 2 2 2 2 2 2 3 2 3 3 Mode 15-over

Euler–Fokker genera

Boxy shapes from the [3, 5, 7] lattice.

5 8 5 13 Genus primum
10 3 5 5 5 3 Genus secundum
8 2 8 3 7 3 Genus tertium
10 10 10 1 Genus quartum
5 7 6 7 5 1 Genus quintum
4 6 2 6 4 3 3 3 Genus sextum
4 6 5 6 4 6 Genus septimum
6 6 6 1 6 6 Genus octavum
4 6 9 6 4 2 Genus nonum
13 6 6 6 Genus decimum
5 5 3 5 5 3 2 3 Genus diatonicum
3 5 2 3 5 3 2 5 3 Genus chromaticum
5 5 2 1 5 5 2 3 3 Genus diatonicum cum septimis
3 4 3 3 2 1 4 1 4 1 2 3 Genus enharmonicum vocale
2 2 4 2 2 3 3 3 1 3 3 3 Genus enharmonicum instrumentale
3 2 3 2 3 2 3 3 2 3 2 3 Genus diatonico-chromaticum
5 2 1 2 5 3 2 1 4 1 2 3 Genus bichromaticum
3 1 2 4 2 4 2 4 2 1 3 3 Genus [3577] (Joel Mandelbaum Andante cantabile)

Strictly proper modes

See Strictly proper 7-tone 31edo scales

Greek/tetrachord modes

4 4 5 4 4 5 5 Neutral Diatonic Mixolydian
4 5 4 4 5 5 4 Neutral Diatonic Lydian
5 4 4 5 5 4 4 Neutral Diatonic Phrygian
4 4 5 5 4 4 5 Neutral Diatonic Dorian
4 5 5 4 4 5 4 Neutral Diatonic Hypolydian
5 5 4 4 5 4 4 Neutral Diatonic Hypophrygian
5 4 4 5 4 4 5 Neutral Diatonic Hypodorian
4 5 4 4 5 4 5 Neutral Mixolydian
5 4 4 5 4 5 4 Neutral Lydian
4 4 5 4 5 4 5 Neutral Phrygian
4 5 4 5 4 5 4 Neutral Dorian
5 4 5 4 5 4 4 Neutral Hypolydian
4 5 4 5 4 4 5 Neutral Hypophrygian
5 4 5 4 4 5 4 Neutral Hypodorian
2 2 9 2 2 9 5 Hemiolic Chromatic Mixolydian
2 9 2 2 9 5 2 Hemiolic Chromatic Lydian
9 2 2 9 5 2 2 Hemiolic Chromatic Phrygian
2 2 9 5 2 2 9 Hemiolic Chromatic Dorian
2 9 5 2 2 9 2 Hemiolic Chromatic Hypolydian
9 5 2 2 9 2 2 Hemiolic Chromatic Hypophrygian
5 2 2 9 2 2 9 Hemiolic Chromatic Hypodorian
2 3 8 2 3 8 5 Ratio 2:3 Chromatic Mixolydian
3 8 2 3 8 5 2 Ratio 2:3 Chromatic Lydian
8 2 3 8 5 2 3 Ratio 2:3 Chromatic Phrygian
2 3 8 5 2 3 8 Ratio 2:3 Chromatic Dorian
3 8 5 2 3 8 2 Ratio 2:3 Chromatic Hypolydian
8 5 2 3 8 2 3 Ratio 2:3 Chromatic Hypophrygian
5 2 3 8 2 3 8 Ratio 2:3 Chromatic Hypodorian
3 5 5 3 5 5 5 Intense Diatonic Mixolydian, M.Locrian
5 3 5 5 5 3 5 Intense Diatonic Phrygian, M.Dorian
3 5 5 5 3 5 5 Intense Diatonic Dorian, M.Phrygian
5 5 5 3 5 5 3 Intense Diatonic Hypolydian, M.Lydian
5 5 3 5 5 3 5 Intense Diatonic Hypophrygian, M.Mixolydian
2 5 6 2 5 6 5 Soft Diatonic Mixolydian
5 6 2 5 6 5 2 Soft Diatonic Lydian
6 2 5 6 5 2 5 Soft Diatonic Phrygian
2 5 6 5 2 5 6 Soft Diatonic Dorian
5 6 5 2 5 6 2 Soft Diatonic Hypolydian
6 5 2 5 6 2 5 Soft Diatonic Hypophrygian
5 2 5 6 2 5 6 Soft Diatonic Hypodorian
1 2 10 1 2 10 5 Enharmonic Mixolydian
2 10 1 2 10 5 1 Enharmonic Lydian
10 1 2 10 5 1 2 Enharmonic Phrygian
1 2 10 5 1 2 10 Enharmonic Dorian
2 10 5 1 2 10 1 Enharmonic Hypolydian
10 5 1 2 10 1 2 Enharmonic Hypophrygian
5 1 2 10 1 2 10 Enharmonic Hypodorian

Of particular interscalar interest

6 6 7 6 6 Quasi-equal Pentatonic
3 3 2 3 3 3 3 3 2 3 3 near 11edo

Dimension scales

(5) 3 1 4 (5) (5)
3 1 4 		Michael Sheiman's "Dimension" scale (Maqam Rast mixed with Meantone Diatonic...lattice (ratio/chord map) available below
dimensionscale.jpg
(3 2)3 1 4 (3 2)(3 2)
3 1 4 		Michael Sheiman's extended 12 tone "Dimension ECT" scale (Maqam Rast mixed with Meantone Diatonic and Michael Sheiman's "6-factor" no wolves 12th harmonic scale)

Miscellaneous

4 1 4 1 3 4 1 4 1 4 1 3 Iceface
1 4 2 3 3 1 4 2 3 2 3 3 Centaurus
3 2 2 3 3 2 3 3 2 2 3 3 Fokker 12-tone
5 3 5 3 5 2 5 3 Modus conjunctus
2 5 3 5 3 5 2 6 Subminor Diminished
2 5 3 5 5 5 6 Subminor Altered
2 8 3 5 2 5 6 Phrygian Harmonic
5 5 3 5 5 2 3 3 Bebop Harmonic
5 7 1 5 7 5 1 Tropical Major
3 3 4 3 5 3 4 3 3 Hahn symmetric pentachordal
3 4 3 3 5 3 4 3 3 Hahn pentachordal
4 4 2 5 3 3 4 3 3 Hahn Nonatonic
8 5 2 3 6 2 5 Hyperblue Dorian (this is the original/default tuning)
8 5 2 3 2 9 2 Hyperblue harmonic (this is the original/default tuning)
5 5 4 8 3 6 Harmonic Prometheus
3 2 3 2 2 2 2 2 2 3 2 3 3 Major Miniscale (Mode 16 x Mode 15-over)
7 3 4 4 7 6 Graham Hexatonic
5 7 3 3 4 4 5 Superlydian b7 d6
3 7 8 8 5 Magnetosphere
5 4 1 3 5 2 3 6 2 Oclock

Nonoctave

4 2 4 2 4 2 4 2 4 2 Blackwood
4 4 6 4 4 4 6 Mavila
8 2 8 2 8 2 Suboctave Augmented
2 6 2 6 2 6 2 6 Superoctave Diminished
4 4 3 7 3 5 3 (7) Saba
5 5 5 3 5 5 5 Superlydian
See main article The Erose-McClain double modes

9-tone

Main article: 9-tone 31edo scales


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales
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