The Exciting Universe Of Music Theory

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Scale 521

Scale 521, 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).

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{9,0,3}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 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, 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.