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Scale 2245: "Raga Vaijayanti"

Scale 2245: Raga Vaijayanti, 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 Vaijayanti
Unknown / Unsorted
Hamsanada
Zeitler
Dygitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,7,11}
Forte Number5-20
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1123
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 355
Deep Scaleno
Interval Vector211231
Interval Spectrump3m2nsd2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,5,6}
<3> = {6,7,9}
<4> = {8,10,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area1.799
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{7,11,2}110.5
Minor Triadsbm{11,2,6}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2245. Created by Ian Ring ©2019 Parsimonious Voice Leading Between Common Triads of Scale 2245. Created by Ian Ring ©2019 G bm bm G->bm

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2245 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1585
Scale 1585: Raga Khamaji Durga, Ian Ring Music TheoryRaga Khamaji Durga
3rd mode:
Scale 355
Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonicThis is the prime mode
4th mode:
Scale 2225
Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
5th mode:
Scale 395
Scale 395: Phrygian Pentatonic, Ian Ring Music TheoryPhrygian Pentatonic

Prime

The prime form of this scale is Scale 355

Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic

Complement

The pentatonic modal family [2245, 1585, 355, 2225, 395] (Forte: 5-20) is the complement of the heptatonic modal family [743, 919, 1849, 2419, 2507, 3257, 3301] (Forte: 7-20)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2245 is 1123

Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2245 is chiral, and its enantiomorph is scale 1123

Scale 1123Scale 1123: Iwato, Ian Ring Music TheoryIwato

Transformations:

T0 2245  T0I 1123
T1 395  T1I 2246
T2 790  T2I 397
T3 1580  T3I 794
T4 3160  T4I 1588
T5 2225  T5I 3176
T6 355  T6I 2257
T7 710  T7I 419
T8 1420  T8I 838
T9 2840  T9I 1676
T10 1585  T10I 3352
T11 3170  T11I 2609

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 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 2243Scale 2243, Ian Ring Music Theory
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2373Scale 2373: Dyptitonic, Ian Ring Music TheoryDyptitonic
Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 197Scale 197, Ian Ring Music Theory
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic

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.