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Scale 3391: "Aeolynygic"

Scale 3391: Aeolynygic, 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

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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
Aeolynygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,8,10,11}
Forte Number9-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3991
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3391 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3743
Scale 3743: Thadygic, Ian Ring Music TheoryThadygic
3rd mode:
Scale 3919
Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
4th mode:
Scale 4007
Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
5th mode:
Scale 4051
Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
6th mode:
Scale 4073
Scale 4073: Sathygic, Ian Ring Music TheorySathygic
7th mode:
Scale 1021
Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
8th mode:
Scale 1279
Scale 1279: Sarygic, Ian Ring Music TheorySarygic
9th mode:
Scale 2687
Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767: Raptygic, Ian Ring Music TheoryRaptygic

Complement

The nonatonic modal family [3391, 3743, 3919, 4007, 4051, 4073, 1021, 1279, 2687] (Forte: 9-2) is the complement of the tritonic modal family [11, 1537, 2053] (Forte: 3-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3391 is 3991

Scale 3991Scale 3991: Badygic, Ian Ring Music TheoryBadygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3391 is chiral, and its enantiomorph is scale 3991

Scale 3991Scale 3991: Badygic, Ian Ring Music TheoryBadygic

Transformations:

T0 3391  T0I 3991
T1 2687  T1I 3887
T2 1279  T2I 3679
T3 2558  T3I 3263
T4 1021  T4I 2431
T5 2042  T5I 767
T6 4084  T6I 1534
T7 4073  T7I 3068
T8 4051  T8I 2041
T9 4007  T9I 4082
T10 3919  T10I 4069
T11 3743  T11I 4043

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 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
Scale 3383Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic
Scale 3423Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3263Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
Scale 3903Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 2879Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic

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.