The Exciting Universe Of Music Theory

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Scale 1923

Scale 1923, 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

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).


Cardinality6 (hexatonic)
Pitch Class Set{0,1,7,8,9,10}
Forte Number6-Z3
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2109
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 111
Deep Scaleno
Interval Vector433221
Interval Spectrump2m2n3s3d4t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,7}
<3> = {3,4,8,9}
<4> = {5,9,10}
<5> = {6,10,11}
Spectra Variation4.333
Maximally Evenno
Maximal Area Setno
Interior Area1.433
Myhill Propertyno
Ridge Tonesnone

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
Diminished Triads{7,10,1}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.


Modes are the rotational transformation of this scale. Scale 1923 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3009
Scale 3009, Ian Ring Music Theory
3rd mode:
Scale 111
Scale 111, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2103
Scale 2103, Ian Ring Music Theory
5th mode:
Scale 3099
Scale 3099, Ian Ring Music Theory
6th mode:
Scale 3597
Scale 3597, Ian Ring Music Theory


The prime form of this scale is Scale 111

Scale 111Scale 111, Ian Ring Music Theory


The hexatonic modal family [1923, 3009, 111, 2103, 3099, 3597] (Forte: 6-Z3) is the complement of the hexatonic modal family [159, 993, 2127, 3111, 3603, 3849] (Forte: 6-Z36)


The inverse of a scale is a reflection using the root as its axis. The inverse of 1923 is 2109

Scale 2109Scale 2109, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 1923 is chiral, and its enantiomorph is scale 2109

Scale 2109Scale 2109, Ian Ring Music Theory


T0 1923  T0I 2109
T1 3846  T1I 123
T2 3597  T2I 246
T3 3099  T3I 492
T4 2103  T4I 984
T5 111  T5I 1968
T6 222  T6I 3936
T7 444  T7I 3777
T8 888  T8I 3459
T9 1776  T9I 2823
T10 3552  T10I 1551
T11 3009  T11I 3102

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 1921Scale 1921, Ian Ring Music Theory
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1927Scale 1927, Ian Ring Music Theory
Scale 1931Scale 1931: Stogian, Ian Ring Music TheoryStogian
Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian
Scale 1955Scale 1955: Sonian, Ian Ring Music TheorySonian
Scale 1987Scale 1987, Ian Ring Music Theory
Scale 1795Scale 1795, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory
Scale 1667Scale 1667, Ian Ring Music Theory
Scale 1411Scale 1411, Ian Ring Music Theory
Scale 899Scale 899, Ian Ring Music Theory
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 3971Scale 3971, Ian Ring Music Theory

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 ( 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. Special thanks to Richard Repp for helping with technical accuracy.