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Scale 2311: "Raga Kumarapriya"

Scale 2311: Raga Kumarapriya, 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 Names

Carnatic Raga
Raga Kumarapriya


Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,8,11}
Forte Number5-4
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3091
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 79
Deep Scaleno
Interval Vector322111
Interval Spectrumpmn2s2d3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7,9}
<3> = {3,5,8,10}
<4> = {6,9,11}
Spectra Variation4.8
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 2311 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3203
Scale 3203, Ian Ring Music Theory
3rd mode:
Scale 3649
Scale 3649, Ian Ring Music Theory
4th mode:
Scale 121
Scale 121, Ian Ring Music Theory
5th mode:
Scale 527
Scale 527, Ian Ring Music Theory


The prime form of this scale is Scale 79

Scale 79Scale 79, Ian Ring Music Theory


The pentatonic modal family [2311, 3203, 3649, 121, 527] (Forte: 5-4) is the complement of the heptatonic modal family [223, 1987, 2159, 3041, 3127, 3611, 3853] (Forte: 7-4)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2311 is 3091

Scale 3091Scale 3091, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2311 is chiral, and its enantiomorph is scale 3091

Scale 3091Scale 3091, Ian Ring Music Theory


T0 2311  T0I 3091
T1 527  T1I 2087
T2 1054  T2I 79
T3 2108  T3I 158
T4 121  T4I 316
T5 242  T5I 632
T6 484  T6I 1264
T7 968  T7I 2528
T8 1936  T8I 961
T9 3872  T9I 1922
T10 3649  T10I 3844
T11 3203  T11I 3593

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 2309Scale 2309, Ian Ring Music Theory
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2343Scale 2343: Tharimic, Ian Ring Music TheoryTharimic
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2439Scale 2439, Ian Ring Music Theory
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2183Scale 2183, Ian Ring Music Theory
Scale 2567Scale 2567, Ian Ring Music Theory
Scale 2823Scale 2823, Ian Ring Music Theory
Scale 3335Scale 3335, Ian Ring Music Theory
Scale 263Scale 263, Ian Ring Music Theory
Scale 1287Scale 1287, 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. Some scale names used on this and other pages are ©2005 William Zeitler ( Peruse this Bibliography.