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Scale 2261: "Raga Caturangini"

Scale 2261: Raga Caturangini, 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.

Tonnetz Diagram

41161837294116105072918310504116183
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 Caturangini
Unknown / Unsorted
Ratnakanthi
Zeitler
Phrolimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,4,6,7,11}
Forte Number6-Z26
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 427
Deep Scaleno
Interval Vector232341
Interval Spectrump4m3n2s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {8,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[6]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2261 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1589
Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
3rd mode:
Scale 1421
Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti
4th mode:
Scale 1379
Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
5th mode:
Scale 2737
Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
6th mode:
Scale 427
Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha SimantiniThis is the prime mode

Prime

The prime form of this scale is Scale 427

Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini

Complement

The hexatonic modal family [2261, 1589, 1421, 1379, 2737, 427] (Forte: 6-Z26) is the complement of the hexatonic modal family [679, 917, 1253, 1337, 2387, 3241] (Forte: 6-Z48)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2261 is 1379

Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic

Transformations:

T0 2261  T0I 1379
T1 427  T1I 2758
T2 854  T2I 1421
T3 1708  T3I 2842
T4 3416  T4I 1589
T5 2737  T5I 3178
T6 1379  T6I 2261
T7 2758  T7I 427
T8 1421  T8I 854
T9 2842  T9I 1708
T10 1589  T10I 3416
T11 3178  T11I 2737

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 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2265Scale 2265: Raga Rasamanjari, Ian Ring Music TheoryRaga Rasamanjari
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2389Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
Scale 2517Scale 2517: Harmonic Lydian, Ian Ring Music TheoryHarmonic Lydian
Scale 2773Scale 2773: Lydian, Ian Ring Music TheoryLydian
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 213Scale 213, Ian Ring Music Theory
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic

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. Bibliography