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Scale 3731: "Aeryrian"

Scale 3731: Aeryrian, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Aeryrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,7,9,10,11}
Forte Number7-10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2351
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 607
Deep Scaleno
Interval Vector445332
Interval Spectrump3m3n5s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {9,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3731 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3913
Scale 3913: Bonian, Ian Ring Music TheoryBonian
3rd mode:
Scale 1001
Scale 1001: Badian, Ian Ring Music TheoryBadian
4th mode:
Scale 637
Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
5th mode:
Scale 1183
Scale 1183: Sadian, Ian Ring Music TheorySadian
6th mode:
Scale 2639
Scale 2639: Dothian, Ian Ring Music TheoryDothian
7th mode:
Scale 3367
Scale 3367: Moptian, Ian Ring Music TheoryMoptian

Prime

The prime form of this scale is Scale 607

Scale 607Scale 607: Kadian, Ian Ring Music TheoryKadian

Complement

The heptatonic modal family [3731, 3913, 1001, 637, 1183, 2639, 3367] (Forte: 7-10) is the complement of the pentatonic modal family [91, 1547, 1729, 2093, 2821] (Forte: 5-10)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3731 is 2351

Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3731 is chiral, and its enantiomorph is scale 2351

Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian

Transformations:

T0 3731  T0I 2351
T1 3367  T1I 607
T2 2639  T2I 1214
T3 1183  T3I 2428
T4 2366  T4I 761
T5 637  T5I 1522
T6 1274  T6I 3044
T7 2548  T7I 1993
T8 1001  T8I 3986
T9 2002  T9I 3877
T10 4004  T10I 3659
T11 3913  T11I 3223

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3729Scale 3729: Starimic, Ian Ring Music TheoryStarimic
Scale 3733Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 3715Scale 3715, Ian Ring Music Theory
Scale 3723Scale 3723: Myptian, Ian Ring Music TheoryMyptian
Scale 3747Scale 3747: Myrian, Ian Ring Music TheoryMyrian
Scale 3763Scale 3763: Modyllic, Ian Ring Music TheoryModyllic
Scale 3795Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3667Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
Scale 3859Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian
Scale 3987Scale 3987: Loryllic, Ian Ring Music TheoryLoryllic
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography