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Scale 379: "Aeragian"

Scale 379: Aeragian, 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
Aeragian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,6,8}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3025
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?yes
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC♯{1,5,8}241.83
G♯{8,0,3}231.5
Minor Triadsc♯m{1,4,8}231.5
fm{5,8,0}231.5
Augmented TriadsC+{0,4,8}321.17
Diminished Triads{0,3,6}142.17
Parsimonious Voice Leading Between Common Triads of Scale 379. Created by Ian Ring ©2019 G# G# c°->G# C+ C+ c#m c#m C+->c#m fm fm C+->fm C+->G# C# C# c#m->C# C#->fm

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius2
Self-Centeredno
Central VerticesC+
Peripheral Verticesc°, C♯

Modes

Modes are the rotational transformation of this scale. Scale 379 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2237
Scale 2237: Epothian, Ian Ring Music TheoryEpothian
3rd mode:
Scale 1583
Scale 1583: Salian, Ian Ring Music TheorySalian
4th mode:
Scale 2839
Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
5th mode:
Scale 3467
Scale 3467: Katonian, Ian Ring Music TheoryKatonian
6th mode:
Scale 3781
Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
7th mode:
Scale 1969
Scale 1969: Stylian, Ian Ring Music TheoryStylian

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [379, 2237, 1583, 2839, 3467, 3781, 1969] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 379 is 3025

Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 379 is chiral, and its enantiomorph is scale 3025

Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian

Transformations:

T0 379  T0I 3025
T1 758  T1I 1955
T2 1516  T2I 3910
T3 3032  T3I 3725
T4 1969  T4I 3355
T5 3938  T5I 2615
T6 3781  T6I 1135
T7 3467  T7I 2270
T8 2839  T8I 445
T9 1583  T9I 890
T10 3166  T10I 1780
T11 2237  T11I 3560

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 377Scale 377: Kathimic, Ian Ring Music TheoryKathimic
Scale 381Scale 381: Kogian, Ian Ring Music TheoryKogian
Scale 383Scale 383: Logyllic, Ian Ring Music TheoryLogyllic
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic
Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian
Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
Scale 123Scale 123, Ian Ring Music Theory
Scale 251Scale 251, Ian Ring Music Theory
Scale 635Scale 635: Epolian, Ian Ring Music TheoryEpolian
Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic
Scale 1403Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
Scale 2427Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.