The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 567: "Aeoladimic"

Scale 567: Aeoladimic, 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
Aeoladimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,5,9}
Forte Number6-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3465
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 315
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsF{5,9,0}221.2
A{9,1,4}221.2
Minor Triadsdm{2,5,9}131.6
am{9,0,4}231.4
Augmented TriadsC♯+{1,5,9}321
Parsimonious Voice Leading Between Common Triads of Scale 567. Created by Ian Ring ©2019 C#+ C#+ dm dm C#+->dm F F C#+->F A A C#+->A am am F->am am->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.

Diameter3
Radius2
Self-Centeredno
Central VerticesC♯+, F, A
Peripheral Verticesdm, am

Modes

Modes are the rotational transformation of this scale. Scale 567 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2331
Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
3rd mode:
Scale 3213
Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
4th mode:
Scale 1827
Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
5th mode:
Scale 2961
Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
6th mode:
Scale 441
Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic

Prime

The prime form of this scale is Scale 315

Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic

Complement

The hexatonic modal family [567, 2331, 3213, 1827, 2961, 441] (Forte: 6-14) is the complement of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465] (Forte: 6-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 567 is 3465

Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 567 is chiral, and its enantiomorph is scale 3465

Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic

Transformations:

T0 567  T0I 3465
T1 1134  T1I 2835
T2 2268  T2I 1575
T3 441  T3I 3150
T4 882  T4I 2205
T5 1764  T5I 315
T6 3528  T6I 630
T7 2961  T7I 1260
T8 1827  T8I 2520
T9 3654  T9I 945
T10 3213  T10I 1890
T11 2331  T11I 3780

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 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 575Scale 575: Ionydian, Ian Ring Music TheoryIonydian
Scale 551Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic
Scale 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 535Scale 535, Ian Ring Music Theory
Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 55Scale 55, Ian Ring Music Theory
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian

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.