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Scale 2465: "Raga Devaranjani"

Scale 2465: Raga Devaranjani, 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 Devaranjani
Raga Devaranji


Cardinality5 (pentatonic)
Pitch Class Set{0,5,7,8,11}
Forte Number5-Z18
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 179
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
prime: 179
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.2
Maximally Evenno
Maximal Area Setno
Interior Area1.683
Myhill Propertyno
Ridge Tonesnone

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
Minor Triadsfm{5,8,0}110.5
Diminished Triads{5,8,11}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2465. Created by Ian Ring ©2019 fm fm f°->fm

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.



Modes are the rotational transformation of this scale. Scale 2465 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 205
Scale 205, Ian Ring Music Theory
3rd mode:
Scale 1075
Scale 1075, Ian Ring Music Theory
4th mode:
Scale 2585
Scale 2585, Ian Ring Music Theory
5th mode:
Scale 835
Scale 835, Ian Ring Music Theory


The prime form of this scale is Scale 179

Scale 179Scale 179, Ian Ring Music Theory


The pentatonic modal family [2465, 205, 1075, 2585, 835] (Forte: 5-Z18) is the complement of the heptatonic modal family [755, 815, 1945, 2425, 2455, 3275, 3685] (Forte: 7-Z18)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2465 is 179

Scale 179Scale 179, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2465 is chiral, and its enantiomorph is scale 179

Scale 179Scale 179, Ian Ring Music Theory


T0 2465  T0I 179
T1 835  T1I 358
T2 1670  T2I 716
T3 3340  T3I 1432
T4 2585  T4I 2864
T5 1075  T5I 1633
T6 2150  T6I 3266
T7 205  T7I 2437
T8 410  T8I 779
T9 820  T9I 1558
T10 1640  T10I 3116
T11 3280  T11I 2137

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 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 2469Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2449Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
Scale 2497Scale 2497, Ian Ring Music Theory
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2337Scale 2337, Ian Ring Music Theory
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2721Scale 2721: Raga Puruhutika, Ian Ring Music TheoryRaga Puruhutika
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 417Scale 417, Ian Ring Music Theory
Scale 1441Scale 1441, 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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.