31edo modes: Difference between revisions

== Nothing special ==

Or, to some, the only important thing.

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| Meantone Chromatic (53/220-comma)

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| Thirty-one tone Major, Intense Diatonic Lydian, M.Ionian

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| Thirty-one tone Natural Minor, Intense Diatonic Hypodorian, Aeolian

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| Thirty-one tone Major Pentatonic

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| Thirty-one tone Melodic Minor

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| Thirty-one tone Harmonic Minor

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| Thirty-one tone Harmonic Major

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| Thirty-one tone Major-Minor

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| Thirty-one tone Augmented

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| Thirty-one tone Diminished

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| "Septimal" Natural Minor

|}

== MOS ==

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| Neutral[7]

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| Breed 10-tone / Neutral[10]

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| Orwell[5]

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| Orwell[9]

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| Orwell[13]

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| Squares[5]

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| Squares[8]

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| Secor/Barton no-fives / Squares[11]

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| Whole Tone / Tutone[6]

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| Tutone[13]

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| Mothra[6]

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| de Vries 11-tone / Mothra[11]

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| Miracle[10]

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| Blackjack / Miracle[21]

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| Greeley[8]

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| Pseudo-Porcupine 15-note / Nusecond[15]

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| Semi-Equalized Armodue / Valentine[16]

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| A-Team[5]

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| Oneirotonic / A-Team[8]

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| A-Team[13]

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| Joan[5]

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| Hypermavila / Joan[7]

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| Rothenberg Generalized Diatonic / Joan[9]

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| Joan[11]

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| Würschmidt[10]

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| Myna[11]

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| Tritonic[9]

|}

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| Graham Orwell

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| Maqam Rast

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| Maqam Bayati

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| Turkish Major

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| Thaiic

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| Sheimanic

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| Screamapillar

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| Altered Dorian

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| Altered Neapolitan Major

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| Onydim

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| Squares Major

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| Harmonic Whole Tone

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| Dylydian / Archeodim

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| Harmonic Mnarian

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| Miracle Major

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| Greeley Major

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| Subminor Pentatonic

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| Supermajor Pentatonic

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| Submyna

|}

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| Nested Bees

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| Arc Aurelius

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| Xenosquare

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| Scorp

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| Harrison Major

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| Lumma Decatonic

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| AugmentedPlus

|}

== Hexany ==

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| 1-3-5-9

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| 1-3-7-9

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| 1-3-5-7

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| 1-3-9-11

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| 1-3-5-11

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| 1-3-7-11

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| 1-3-5-13

|}

== Harmonic Series ==

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| Mode 5

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| Mode 6

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| Mode 7

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| Mode 8

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| Mode 10

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| Mode 12

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| Mode 14

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| Mode 16

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| Mode 6-over

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| Mode 9-over

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| Mode 15-over

|}

== Euler-Fokker genera ==

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

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| Genus primum

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| Genus secundum

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| Genus tertium

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| Genus quartum

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| Genus quintum

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| Genus sextum

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| Genus septimum

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| Genus octavum

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| Genus nonum

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| Genus decimum

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| Genus diatonicum

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| Genus chromaticum

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| Genus diatonicum cum septimis

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| Genus enharmonicum vocale

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| Genus enharmonicum instrumentale

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| Genus diatonico-chromaticum

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| Genus bichromaticum

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| Genus [3577] (Joel Mandelbaum ''Andante cantabile'')

|}

== Greek/tetrachord modes ==

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| Neutral Diatonic Mixolydian

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| Neutral Diatonic Lydian

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| Neutral Diatonic Phrygian

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| Neutral Diatonic Dorian

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| Neutral Diatonic Hypolydian

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| Neutral Diatonic Hypophrygian

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| Neutral Diatonic Hypodorian

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| Neutral Mixolydian

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| Neutral Lydian

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| Neutral Phrygian

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| Neutral Dorian

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| Neutral Hypolydian

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| Neutral Hypophrygian

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| Neutral Hypodorian

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| Hemiolic Chromatic Mixolydian

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| Hemiolic Chromatic Lydian

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| Hemiolic Chromatic Phrygian

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| Hemiolic Chromatic Dorian

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| Hemiolic Chromatic Hypolydian

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| Hemiolic Chromatic Hypophrygian

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| Hemiolic Chromatic Hypodorian

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| Ratio 2:3 Chromatic Mixolydian

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| Ratio 2:3 Chromatic Lydian

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| Ratio 2:3 Chromatic Phrygian

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| Ratio 2:3 Chromatic Dorian

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| Ratio 2:3 Chromatic Hypolydian

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| Ratio 2:3 Chromatic Hypophrygian

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| Ratio 2:3 Chromatic Hypodorian

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| Intense Diatonic Mixolydian, M.Locrian

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| Intense Diatonic Phrygian, M.Dorian

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| Intense Diatonic Dorian, M.Phrygian

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| Intense Diatonic Hypolydian, M.Lydian

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| Intense Diatonic Hypophrygian, M.Mixolydian

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| Soft Diatonic Mixolydian

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| Soft Diatonic Lydian

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| Soft Diatonic Phrygian

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| Soft Diatonic Dorian

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| Soft Diatonic Hypolydian

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| Soft Diatonic Hypophrygian

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| Soft Diatonic Hypodorian

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| Enharmonic Mixolydian

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| Enharmonic Lydian

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| Enharmonic Phrygian

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| Enharmonic Dorian

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| Enharmonic Hypolydian

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| Enharmonic Hypophrygian

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| Enharmonic Hypodorian

|}

== Of particular [[interscalar]] interest ==

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| [[Quasi-equal]] Pentatonic

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| near [[11edo|11edo]]

|}

{| class="wikitable"

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| 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]]

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| 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 ==

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| Iceface

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| Centaurus

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| Fokker 12-tone

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| Modus conjunctus

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| Subminor Diminished

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| Subminor Altered

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| Phrygian Harmonic

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| Bebop Harmonic

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| Tropical Major

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| Hahn symmetric pentachordal

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| Hahn pentachordal

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| Hahn Nonatonic

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| Hyperblue Dorian (this is the original/default tuning)

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| Hyperblue harmonic (this is the original/default tuning)

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| Harmonic Prometheus

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| Major Miniscale (Mode 16 x Mode 15-over)

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| Graham Hexatonic

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| [[Oclock]]

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| Blackwood

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| Mavila

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| Suboctave Augmented

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| Superoctave Diminished

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| Saba

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| Superlydian

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| The [[Erose-McClain double mode]]s

|}

[[Category:31edo]]

[[Category:Modes]]

[[Category:Lists of scales]]