The Exciting Universe Of Music Theory

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Scale 901

Scale 901, 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{0,2,7,8,9}
Forte Number5-14
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1081
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 167
Deep Scaleno
Interval Vector221131
Interval Spectrump3mns2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Maximal Area Setno
Interior Area1.683
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 901 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1249
Scale 1249, Ian Ring Music Theory
3rd mode:
Scale 167
Scale 167, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2131
Scale 2131, Ian Ring Music Theory
5th mode:
Scale 3113
Scale 3113, Ian Ring Music Theory


The prime form of this scale is Scale 167

Scale 167Scale 167, Ian Ring Music Theory


The pentatonic modal family [901, 1249, 167, 2131, 3113] (Forte: 5-14) is the complement of the heptatonic modal family [431, 1507, 1933, 2263, 2801, 3179, 3637] (Forte: 7-14)


The inverse of a scale is a reflection using the root as its axis. The inverse of 901 is 1081

Scale 1081Scale 1081, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 901 is chiral, and its enantiomorph is scale 1081

Scale 1081Scale 1081, Ian Ring Music Theory


T0 901  T0I 1081
T1 1802  T1I 2162
T2 3604  T2I 229
T3 3113  T3I 458
T4 2131  T4I 916
T5 167  T5I 1832
T6 334  T6I 3664
T7 668  T7I 3233
T8 1336  T8I 2371
T9 2672  T9I 647
T10 1249  T10I 1294
T11 2498  T11I 2588

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 903Scale 903, Ian Ring Music Theory
Scale 897Scale 897, Ian Ring Music Theory
Scale 899Scale 899, Ian Ring Music Theory
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 917Scale 917: Dygimic, Ian Ring Music TheoryDygimic
Scale 933Scale 933: Dadimic, Ian Ring Music TheoryDadimic
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 773Scale 773, Ian Ring Music Theory
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 645Scale 645, Ian Ring Music Theory
Scale 389Scale 389, Ian Ring Music Theory
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 2949Scale 2949, 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.