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Scale 1139: "Aerygimic"

Scale 1139: Aerygimic, 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
Aerygimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,6,10}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2501
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1139 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2617
Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
3rd mode:
Scale 839
Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
4th mode:
Scale 2467
Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
5th mode:
Scale 3281
Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
6th mode:
Scale 461
Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [1139, 2617, 839, 2467, 3281, 461] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1139 is 2501

Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1139 is chiral, and its enantiomorph is scale 2501

Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic

Transformations:

T0 1139  T0I 2501
T1 2278  T1I 907
T2 461  T2I 1814
T3 922  T3I 3628
T4 1844  T4I 3161
T5 3688  T5I 2227
T6 3281  T6I 359
T7 2467  T7I 718
T8 839  T8I 1436
T9 1678  T9I 2872
T10 3356  T10I 1649
T11 2617  T11I 3298

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 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian
Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato
Scale 1131Scale 1131: Honchoshi Plagal Form, Ian Ring Music TheoryHonchoshi Plagal Form
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1075Scale 1075, Ian Ring Music Theory
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1395Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 115Scale 115, Ian Ring Music Theory
Scale 627Scale 627: Mogimic, Ian Ring Music TheoryMogimic
Scale 2163Scale 2163, Ian Ring Music Theory
Scale 3187Scale 3187: Koptian, Ian Ring Music TheoryKoptian

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.