The Exciting Universe Of Music Theory

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Scale 9

Scale 9, 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

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 9 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 513
Scale 513, Ian Ring Music Theory


This is the prime form of this scale.


The modal family [9, 513] (Forte: 2-3) is the complement of the decatonic modal family [1791, 2043, 2943, 3069, 3519, 3807, 3951, 4023, 4059, 4077] (Forte: 10-3)


The inverse of a scale is a reflection using the root as its axis. The inverse of 9 is 513

Scale 513Scale 513, Ian Ring Music Theory


T0 9  T0I 513
T1 18  T1I 1026
T2 36  T2I 2052
T3 72  T3I 9
T4 144  T4I 18
T5 288  T5I 36
T6 576  T6I 72
T7 1152  T7I 144
T8 2304  T8I 288
T9 513  T9I 576
T10 1026  T10I 1152
T11 2052  T11I 2304

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 11Scale 11, Ian Ring Music Theory
Scale 13Scale 13, Ian Ring Music Theory
Scale 1Scale 1, Ian Ring Music Theory
Scale 5Scale 5: Vietnamese ditonic, Ian Ring Music TheoryVietnamese ditonic
Scale 17Scale 17, Ian Ring Music Theory
Scale 25Scale 25, Ian Ring Music Theory
Scale 41Scale 41: Vietnamese Tritonic, Ian Ring Music TheoryVietnamese Tritonic
Scale 73Scale 73, Ian Ring Music Theory
Scale 137Scale 137: Ute Tritonic, Ian Ring Music TheoryUte Tritonic
Scale 265Scale 265, Ian Ring Music Theory
Scale 521Scale 521, Ian Ring Music Theory
Scale 1033Scale 1033, Ian Ring Music Theory
Scale 2057Scale 2057, 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.