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Scale 3931: "Aerygic"

Scale 3931: Aerygic, 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. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
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
Aerygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,6,8,9,10,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2911
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3931 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
3rd mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
4th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
5th mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
6th mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
7th mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
8th mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
9th mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [3931, 4013, 2027, 3061, 1789, 1471, 2783, 3439, 3767] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3931 is 2911

Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3931 is chiral, and its enantiomorph is scale 2911

Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic

Transformations:

T0 3931  T0I 2911
T1 3767  T1I 1727
T2 3439  T2I 3454
T3 2783  T3I 2813
T4 1471  T4I 1531
T5 2942  T5I 3062
T6 1789  T6I 2029
T7 3578  T7I 4058
T8 3061  T8I 4021
T9 2027  T9I 3947
T10 4054  T10I 3799
T11 4013  T11I 3503

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 3929Scale 3929: Aeolothyllic, Ian Ring Music TheoryAeolothyllic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian
Scale 3923Scale 3923: Stoptyllic, Ian Ring Music TheoryStoptyllic
Scale 3927Scale 3927: Monygic, Ian Ring Music TheoryMonygic
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 3899Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 3675Scale 3675: Monyllic, Ian Ring Music TheoryMonyllic
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 3419Scale 3419: Magen Abot 1, Ian Ring Music TheoryMagen Abot 1
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 1883Scale 1883, Ian Ring Music Theory

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.