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Scale 2197: "Raga Hamsadhvani"

Scale 2197: Raga Hamsadhvani, 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 Hamsadhvani
Raga Hansdhwani
Raga Haunsadhwani
Zeitler
Aerathitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,4,7,11}
Forte Number5-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1315
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 299
Deep Scaleno
Interval Vector122230
Interval Spectrump3m2n2s2d
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5,7}
<3> = {5,7,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2197 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1573
Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari
3rd mode:
Scale 1417
Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
4th mode:
Scale 689
Scale 689: Raga Nagasvaravali, Ian Ring Music TheoryRaga Nagasvaravali
5th mode:
Scale 299
Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga ChitthakarshiniThis is the prime mode

Prime

The prime form of this scale is Scale 299

Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini

Complement

The pentatonic modal family [2197, 1573, 1417, 689, 299] (Forte: 5-27) is the complement of the heptatonic modal family [695, 1465, 1765, 1835, 2395, 2965, 3245] (Forte: 7-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2197 is 1315

Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2197 is chiral, and its enantiomorph is scale 1315

Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic

Transformations:

T0 2197  T0I 1315
T1 299  T1I 2630
T2 598  T2I 1165
T3 1196  T3I 2330
T4 2392  T4I 565
T5 689  T5I 1130
T6 1378  T6I 2260
T7 2756  T7I 425
T8 1417  T8I 850
T9 2834  T9I 1700
T10 1573  T10I 3400
T11 3146  T11I 2705

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 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2195Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2709Scale 2709: Raga Kumud, Ian Ring Music TheoryRaga Kumud
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 149Scale 149: Eskimo Tetratonic, Ian Ring Music TheoryEskimo Tetratonic
Scale 1173Scale 1173: Dominant Pentatonic, Ian Ring Music TheoryDominant Pentatonic

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.