The Exciting Universe Of Music Theory

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Scale 239

Scale 239, 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).


Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,5,6,7}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3809
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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
Minor Triadscm{0,3,7}110.5
Diminished Triads{0,3,6}110.5
Parsimonious Voice Leading Between Common Triads of Scale 239. Created by Ian Ring ©2019 cm cm c°->cm

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.



Modes are the rotational transformation of this scale. Scale 239 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2167
Scale 2167, Ian Ring Music Theory
3rd mode:
Scale 3131
Scale 3131, Ian Ring Music Theory
4th mode:
Scale 3613
Scale 3613, Ian Ring Music Theory
5th mode:
Scale 1927
Scale 1927, Ian Ring Music Theory
6th mode:
Scale 3011
Scale 3011, Ian Ring Music Theory
7th mode:
Scale 3553
Scale 3553, Ian Ring Music Theory


This is the prime form of this scale.


The heptatonic modal family [239, 2167, 3131, 3613, 1927, 3011, 3553] (Forte: 7-5) is the complement of the pentatonic modal family [143, 481, 2119, 3107, 3601] (Forte: 5-5)


The inverse of a scale is a reflection using the root as its axis. The inverse of 239 is 3809

Scale 3809Scale 3809, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 239 is chiral, and its enantiomorph is scale 3809

Scale 3809Scale 3809, Ian Ring Music Theory


T0 239  T0I 3809
T1 478  T1I 3523
T2 956  T2I 2951
T3 1912  T3I 1807
T4 3824  T4I 3614
T5 3553  T5I 3133
T6 3011  T6I 2171
T7 1927  T7I 247
T8 3854  T8I 494
T9 3613  T9I 988
T10 3131  T10I 1976
T11 2167  T11I 3952

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 237Scale 237, Ian Ring Music Theory
Scale 235Scale 235, Ian Ring Music Theory
Scale 231Scale 231, Ian Ring Music Theory
Scale 247Scale 247, Ian Ring Music Theory
Scale 255Scale 255, Ian Ring Music Theory
Scale 207Scale 207, Ian Ring Music Theory
Scale 223Scale 223, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 111Scale 111, Ian Ring Music Theory
Scale 367Scale 367: Aerodian, Ian Ring Music TheoryAerodian
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 751Scale 751, Ian Ring Music Theory
Scale 1263Scale 1263: Stynyllic, Ian Ring Music TheoryStynyllic
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic

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.