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Scale 521

Scale 521, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram



Cardinality3 (tritonic)
Pitch Class Set{0,3,9}
Forte Number3-10
Rotational Symmetrynone
Reflection Axes0
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 73
Deep Scaleno
Interval Vector002001
Interval Spectrumn2t
Distribution Spectra<1> = {3,6}
<2> = {6,9}
Spectra Variation2
Maximally Evenno
Myhill Propertyyes
Ridge Tones[0]


Modes are the rotational transformation of this scale. Scale 521 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 577
Scale 577, Ian Ring Music Theory
3rd mode:
Scale 73
Scale 73, Ian Ring Music TheoryThis is the prime mode


The prime form of this scale is Scale 73

Scale 73Scale 73, Ian Ring Music Theory


The tritonic modal family [521, 577, 73] (Forte: 3-10) is the complement of the nonatonic modal family [1759, 1787, 2011, 2927, 2941, 3053, 3511, 3803, 3949] (Forte: 9-10)


The inverse of a scale is a reflection using the root as its axis. The inverse of 521 is itself, because it is a palindromic scale!

Scale 521Scale 521, Ian Ring Music Theory


T0 521  T0I 521
T1 1042  T1I 1042
T2 2084  T2I 2084
T3 73  T3I 73
T4 146  T4I 146
T5 292  T5I 292
T6 584  T6I 584
T7 1168  T7I 1168
T8 2336  T8I 2336
T9 577  T9I 577
T10 1154  T10I 1154
T11 2308  T11I 2308

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 523Scale 523, Ian Ring Music Theory
Scale 525Scale 525, Ian Ring Music Theory
Scale 513Scale 513, Ian Ring Music Theory
Scale 517Scale 517, Ian Ring Music Theory
Scale 529Scale 529: Raga Bilwadala, Ian Ring Music TheoryRaga Bilwadala
Scale 537Scale 537, Ian Ring Music Theory
Scale 553Scale 553: Rothic, Ian Ring Music TheoryRothic
Scale 585Scale 585: Diminished Seventh, Ian Ring Music TheoryDiminished Seventh
Scale 649Scale 649: Byptic, Ian Ring Music TheoryByptic
Scale 777Scale 777, Ian Ring Music Theory
Scale 9Scale 9, Ian Ring Music Theory
Scale 265Scale 265, Ian Ring Music Theory
Scale 1033Scale 1033, Ian Ring Music Theory
Scale 1545Scale 1545, Ian Ring Music Theory
Scale 2569Scale 2569, 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. Bibliography