The Exciting Universe Of Music Theory

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Scale 2091

Scale 2091, 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{0,1,3,5,11}
Forte Number5-9
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 2691
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 87
Deep Scaleno
Interval Vector231211
Interval Spectrumpm2ns3d2t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {6,10,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.366
Myhill Propertyno
Ridge Tonesnone

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 2091 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3093
Scale 3093, Ian Ring Music Theory
3rd mode:
Scale 1797
Scale 1797, Ian Ring Music Theory
4th mode:
Scale 1473
Scale 1473, Ian Ring Music Theory
5th mode:
Scale 87
Scale 87, Ian Ring Music TheoryThis is the prime mode


The prime form of this scale is Scale 87

Scale 87Scale 87, Ian Ring Music Theory


The pentatonic modal family [2091, 3093, 1797, 1473, 87] (Forte: 5-9) is the complement of the heptatonic modal family [351, 1521, 1989, 2223, 3159, 3627, 3861] (Forte: 7-9)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2091 is 2691

Scale 2691Scale 2691, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2091 is chiral, and its enantiomorph is scale 2691

Scale 2691Scale 2691, Ian Ring Music Theory


T0 2091  T0I 2691
T1 87  T1I 1287
T2 174  T2I 2574
T3 348  T3I 1053
T4 696  T4I 2106
T5 1392  T5I 117
T6 2784  T6I 234
T7 1473  T7I 468
T8 2946  T8I 936
T9 1797  T9I 1872
T10 3594  T10I 3744
T11 3093  T11I 3393

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 2089Scale 2089, Ian Ring Music Theory
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2095Scale 2095, Ian Ring Music Theory
Scale 2083Scale 2083, Ian Ring Music Theory
Scale 2087Scale 2087, Ian Ring Music Theory
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2075Scale 2075, Ian Ring Music Theory
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2155Scale 2155, Ian Ring Music Theory
Scale 2219Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 43Scale 43, Ian Ring Music Theory
Scale 1067Scale 1067, 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.