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Scale 2681: "Aerycrian"

Scale 2681: Aerycrian, 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

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
Aerycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,5,6,9,11}
Forte Number7-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 971
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 719
Deep Scaleno
Interval Vector434343
Interval Spectrump4m3n4s3d4t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2681 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 847
Scale 847: Ganian, Ian Ring Music TheoryGanian
3rd mode:
Scale 2471
Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
4th mode:
Scale 3283
Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
5th mode:
Scale 3689
Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
6th mode:
Scale 973
Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
7th mode:
Scale 1267
Scale 1267: Katynian, Ian Ring Music TheoryKatynian

Prime

The prime form of this scale is Scale 719

Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian

Complement

The heptatonic modal family [2681, 847, 2471, 3283, 3689, 973, 1267] (Forte: 7-19) is the complement of the pentatonic modal family [203, 707, 1561, 2149, 2401] (Forte: 5-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2681 is 971

Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2681 is chiral, and its enantiomorph is scale 971

Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi

Transformations:

T0 2681  T0I 971
T1 1267  T1I 1942
T2 2534  T2I 3884
T3 973  T3I 3673
T4 1946  T4I 3251
T5 3892  T5I 2407
T6 3689  T6I 719
T7 3283  T7I 1438
T8 2471  T8I 2876
T9 847  T9I 1657
T10 1694  T10I 3314
T11 3388  T11I 2533

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 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2685Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
Scale 2677Scale 2677: Thodian, Ian Ring Music TheoryThodian
Scale 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2617Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
Scale 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 2809Scale 2809: Gythyllic, Ian Ring Music TheoryGythyllic
Scale 2937Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
Scale 2169Scale 2169, Ian Ring Music Theory
Scale 2425Scale 2425: Rorian, Ian Ring Music TheoryRorian
Scale 3193Scale 3193: Zathian, Ian Ring Music TheoryZathian
Scale 3705Scale 3705: Messiaen Mode 4 Inverse, Ian Ring Music TheoryMessiaen Mode 4 Inverse
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian

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