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Scale 2221: "Raga Sindhura Kafi"

Scale 2221: Raga Sindhura Kafi, 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

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 Sindhura Kafi
Zeitler
Poptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,5,7,11}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1699
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 347
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2221 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1579
Scale 1579: Sagimic, Ian Ring Music TheorySagimic
3rd mode:
Scale 2837
Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
4th mode:
Scale 1733
Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
5th mode:
Scale 1457
Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
6th mode:
Scale 347
Scale 347: Barimic, Ian Ring Music TheoryBarimicThis is the prime mode

Prime

The prime form of this scale is Scale 347

Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic

Complement

The hexatonic modal family [2221, 1579, 2837, 1733, 1457, 347] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2221 is 1699

Scale 1699Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2221 is chiral, and its enantiomorph is scale 1699

Scale 1699Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali

Transformations:

T0 2221  T0I 1699
T1 347  T1I 3398
T2 694  T2I 2701
T3 1388  T3I 1307
T4 2776  T4I 2614
T5 1457  T5I 1133
T6 2914  T6I 2266
T7 1733  T7I 437
T8 3466  T8I 874
T9 2837  T9I 1748
T10 1579  T10I 3496
T11 3158  T11I 2897

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 2223Scale 2223: Konian, Ian Ring Music TheoryKonian
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 2219Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2237Scale 2237: Epothian, Ian Ring Music TheoryEpothian
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2285Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 2733Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic

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 (http://allthescales.org). Peruse this Bibliography.