The Exciting Universe Of Music Theory

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Scale 3589

Scale 3589, 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).


Cardinality5 (pentatonic)
Pitch Class Set{0,2,9,10,11}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1039
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 47
Deep Scaleno
Interval Vector332110
Interval Spectrumpmn2s3d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8,9}
<3> = {3,4,9,10}
<4> = {5,10,11}
Spectra Variation5.2
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 3589 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1921
Scale 1921, Ian Ring Music Theory
3rd mode:
Scale 47
Scale 47, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2071
Scale 2071, Ian Ring Music Theory
5th mode:
Scale 3083
Scale 3083, Ian Ring Music Theory


The prime form of this scale is Scale 47

Scale 47Scale 47, Ian Ring Music Theory


The pentatonic modal family [3589, 1921, 47, 2071, 3083] (Forte: 5-2) is the complement of the heptatonic modal family [191, 2017, 2143, 3119, 3607, 3851, 3973] (Forte: 7-2)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3589 is 1039

Scale 1039Scale 1039, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3589 is chiral, and its enantiomorph is scale 1039

Scale 1039Scale 1039, Ian Ring Music Theory


T0 3589  T0I 1039
T1 3083  T1I 2078
T2 2071  T2I 61
T3 47  T3I 122
T4 94  T4I 244
T5 188  T5I 488
T6 376  T6I 976
T7 752  T7I 1952
T8 1504  T8I 3904
T9 3008  T9I 3713
T10 1921  T10I 3331
T11 3842  T11I 2567

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 3591Scale 3591, Ian Ring Music Theory
Scale 3585Scale 3585, Ian Ring Music Theory
Scale 3587Scale 3587, Ian Ring Music Theory
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3605Scale 3605, Ian Ring Music Theory
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3845Scale 3845, Ian Ring Music Theory
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 3333Scale 3333, Ian Ring Music Theory
Scale 2565Scale 2565, Ian Ring Music Theory
Scale 1541Scale 1541, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler ( Peruse this Bibliography.