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Scale 691: "Raga Kalavati"

Scale 691: Raga Kalavati, 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

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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 Kalavati
Ragamalini
Zeitler
Zydimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,7,9}
Forte Number6-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2473
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector223431
Interval Spectrump3m4n3s2d2t
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

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
Major TriadsC{0,4,7}231.5
F{5,9,0}231.5
A{9,1,4}321.17
Minor Triadsam{9,0,4}321.17
Augmented TriadsC♯+{1,5,9}231.5
Diminished Triadsc♯°{1,4,7}231.5
Parsimonious Voice Leading Between Common Triads of Scale 691. Created by Ian Ring ©2019 C C c#° c#° C->c#° am am C->am A A c#°->A C#+ C#+ F F C#+->F C#+->A F->am am->A

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.

Diameter3
Radius2
Self-Centeredno
Central Verticesam, A
Peripheral VerticesC, c♯°, C♯+, F

Modes

Modes are the rotational transformation of this scale. Scale 691 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2393
Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
3rd mode:
Scale 811
Scale 811: Radimic, Ian Ring Music TheoryRadimic
4th mode:
Scale 2453
Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
5th mode:
Scale 1637
Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
6th mode:
Scale 1433
Scale 1433: Dynimic, Ian Ring Music TheoryDynimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [691, 2393, 811, 2453, 1637, 1433] (Forte: 6-31) is the complement of the hexatonic modal family [691, 811, 1433, 1637, 2393, 2453] (Forte: 6-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 691 is 2473

Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 691 is chiral, and its enantiomorph is scale 2473

Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka

Transformations:

T0 691  T0I 2473
T1 1382  T1I 851
T2 2764  T2I 1702
T3 1433  T3I 3404
T4 2866  T4I 2713
T5 1637  T5I 1331
T6 3274  T6I 2662
T7 2453  T7I 1229
T8 811  T8I 2458
T9 1622  T9I 821
T10 3244  T10I 1642
T11 2393  T11I 3284

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 689Scale 689: Raga Nagasvaravali, Ian Ring Music TheoryRaga Nagasvaravali
Scale 693Scale 693: Arezzo Major Diatonic Hexachord, Ian Ring Music TheoryArezzo Major Diatonic Hexachord
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian
Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 659Scale 659: Raga Rasika Ranjani, Ian Ring Music TheoryRaga Rasika Ranjani
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 627Scale 627: Mogimic, Ian Ring Music TheoryMogimic
Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 179Scale 179, Ian Ring Music Theory
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 1203Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta

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 (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.