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Scale 943: "Aerygyllic"

Scale 943: Aerygyllic, 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
Aerygyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,7,8,9}
Forte Number8-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3769
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes7
Prime?yes
Deep Scaleno
Interval Vector554563
Interval Spectrump6m5n4s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6,7}
<5> = {7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Maximally Evenno
Maximal Area Setno
Interior Area2.616
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}331.67
F{5,9,0}331.67
G♯{8,0,3}341.89
Minor Triadscm{0,3,7}152.67
dm{2,5,9}252.33
fm{5,8,0}331.56
Augmented TriadsC♯+{1,5,9}341.78
Diminished Triads{2,5,8}242.22
{9,0,3}242
Parsimonious Voice Leading Between Common Triads of Scale 943. Created by Ian Ring ©2019 cm cm G# G# cm->G# C# C# C#+ C#+ C#->C#+ C#->d° fm fm C#->fm dm dm C#+->dm F F C#+->F d°->dm fm->F fm->G# F->a° G#->a°

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.

Diameter5
Radius3
Self-Centeredno
Central VerticesC♯, fm, F
Peripheral Verticescm, dm

Modes

Modes are the rotational transformation of this scale. Scale 943 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2519
Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
3rd mode:
Scale 3307
Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
4th mode:
Scale 3701
Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
5th mode:
Scale 1949
Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic
6th mode:
Scale 1511
Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
7th mode:
Scale 2803
Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
8th mode:
Scale 3449
Scale 3449: Bacryllic, Ian Ring Music TheoryBacryllic

Prime

This is the prime form of this scale.

Complement

The octatonic modal family [943, 2519, 3307, 3701, 1949, 1511, 2803, 3449] (Forte: 8-16) is the complement of the tetratonic modal family [163, 389, 1121, 2129] (Forte: 4-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 943 is 3769

Scale 3769Scale 3769: Eponyllic, Ian Ring Music TheoryEponyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 943 is chiral, and its enantiomorph is scale 3769

Scale 3769Scale 3769: Eponyllic, Ian Ring Music TheoryEponyllic

Transformations:

T0 943  T0I 3769
T1 1886  T1I 3443
T2 3772  T2I 2791
T3 3449  T3I 1487
T4 2803  T4I 2974
T5 1511  T5I 1853
T6 3022  T6I 3706
T7 1949  T7I 3317
T8 3898  T8I 2539
T9 3701  T9I 983
T10 3307  T10I 1966
T11 2519  T11I 3932

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 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 939Scale 939: Mela Senavati, Ian Ring Music TheoryMela Senavati
Scale 935Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian
Scale 951Scale 951: Thogyllic, Ian Ring Music TheoryThogyllic
Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic
Scale 911Scale 911: Radian, Ian Ring Music TheoryRadian
Scale 927Scale 927: Gaptyllic, Ian Ring Music TheoryGaptyllic
Scale 975Scale 975: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 1007Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
Scale 815Scale 815: Bolian, Ian Ring Music TheoryBolian
Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic
Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian
Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian
Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 1967Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
Scale 2991Scale 2991: Zanygic, Ian Ring Music TheoryZanygic

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.