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Scale 2379: "Raga Gurjari Todi"

Scale 2379: Raga Gurjari Todi, 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 Gurjari Todi
Zeitler
Stathimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,6,8,11}
Forte Number6-Z47
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2643
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 663
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9,10}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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 TriadsG♯{8,0,3}221
B{11,3,6}221
Minor Triadsg♯m{8,11,3}221
Diminished Triads{0,3,6}221
Parsimonious Voice Leading Between Common Triads of Scale 2379. Created by Ian Ring ©2019 G# G# c°->G# B B c°->B g#m g#m g#m->G# g#m->B

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.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2379 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3237
Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
3rd mode:
Scale 1833
Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
4th mode:
Scale 741
Scale 741: Gathimic, Ian Ring Music TheoryGathimic
5th mode:
Scale 1209
Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
6th mode:
Scale 663
Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimicThis is the prime mode

Prime

The prime form of this scale is Scale 663

Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic

Complement

The hexatonic modal family [2379, 3237, 1833, 741, 1209, 663] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2379 is 2643

Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2379 is chiral, and its enantiomorph is scale 2643

Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi

Transformations:

T0 2379  T0I 2643
T1 663  T1I 1191
T2 1326  T2I 2382
T3 2652  T3I 669
T4 1209  T4I 1338
T5 2418  T5I 2676
T6 741  T6I 1257
T7 1482  T7I 2514
T8 2964  T8I 933
T9 1833  T9I 1866
T10 3666  T10I 3732
T11 3237  T11I 3369

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 2377Scale 2377: Bartók Gamma Chord, Ian Ring Music TheoryBartók Gamma Chord
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2411Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2443Scale 2443: Panimic, Ian Ring Music TheoryPanimic
Scale 2507Scale 2507: Todi That, Ian Ring Music TheoryTodi That
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 3403Scale 3403: Bylian, Ian Ring Music TheoryBylian
Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.