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Scale 2641: "Raga Hindol"

Scale 2641: Raga Hindol, 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 Hindol
Unknown / Unsorted
Sunada Vinodini
Sanjh ka Hindol
Zeitler
Gathitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,6,9,11}
Forte Number5-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 331
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 331
Deep Scaleno
Interval Vector122131
Interval Spectrump3mn2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,5,6}
<3> = {6,7,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2641 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 421
Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
3rd mode:
Scale 1129
Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns
4th mode:
Scale 653
Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
5th mode:
Scale 1187
Scale 1187: Kokin-joshi, Ian Ring Music TheoryKokin-joshi

Prime

The prime form of this scale is Scale 331

Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi

Complement

The pentatonic modal family [2641, 421, 1129, 653, 1187] (Forte: 5-29) is the complement of the heptatonic modal family [727, 1483, 1721, 1837, 2411, 2789, 3253] (Forte: 7-29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2641 is 331

Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2641 is chiral, and its enantiomorph is scale 331

Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi

Transformations:

T0 2641  T0I 331
T1 1187  T1I 662
T2 2374  T2I 1324
T3 653  T3I 2648
T4 1306  T4I 1201
T5 2612  T5I 2402
T6 1129  T6I 709
T7 2258  T7I 1418
T8 421  T8I 2836
T9 842  T9I 1577
T10 1684  T10I 3154
T11 3368  T11I 2213

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 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
Scale 2649Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
Scale 2625Scale 2625, Ian Ring Music Theory
Scale 2633Scale 2633: Mixitonic, Ian Ring Music TheoryMixitonic
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
Scale 2577Scale 2577, Ian Ring Music Theory
Scale 2609Scale 2609: Raga Bhinna Shadja, Ian Ring Music TheoryRaga Bhinna Shadja
Scale 2705Scale 2705: Raga Mamata, Ian Ring Music TheoryRaga Mamata
Scale 2769Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic
Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic
Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic

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.