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Scale 3281: "Raga Vijayavasanta"

Scale 3281: Raga Vijayavasanta, 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 Vijayavasanta
Zeitler
Katythimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,6,7,10,11}
Forte Number6-Z43
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 359
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsC{0,4,7}121
Minor Triadsem{4,7,11}210.67
Diminished Triads{4,7,10}121
Parsimonious Voice Leading Between Common Triads of Scale 3281. Created by Ian Ring ©2019 C C em em C->em e°->em

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
Radius1
Self-Centeredno
Central Verticesem
Peripheral VerticesC, e°

Modes

Modes are the rotational transformation of this scale. Scale 3281 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 461
Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
3rd mode:
Scale 1139
Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
4th mode:
Scale 2617
Scale 2617: Pylimic, Ian Ring Music TheoryPylimic
5th mode:
Scale 839
Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
6th mode:
Scale 2467
Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Complement

The hexatonic modal family [3281, 461, 1139, 2617, 839, 2467] (Forte: 6-Z43) is the complement of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173] (Forte: 6-Z17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3281 is 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3281 is chiral, and its enantiomorph is scale 359

Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic

Transformations:

T0 3281  T0I 359
T1 2467  T1I 718
T2 839  T2I 1436
T3 1678  T3I 2872
T4 3356  T4I 1649
T5 2617  T5I 3298
T6 1139  T6I 2501
T7 2278  T7I 907
T8 461  T8I 1814
T9 922  T9I 3628
T10 1844  T10I 3161
T11 3688  T11I 2227

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 3283Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3289Scale 3289: Lydian Sharp 2 Sharp 6, Ian Ring Music TheoryLydian Sharp 2 Sharp 6
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 3313Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 3153Scale 3153: Zathitonic, Ian Ring Music TheoryZathitonic
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian
Scale 2257Scale 2257: Lydian Pentatonic, Ian Ring Music TheoryLydian Pentatonic
Scale 2769Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic

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.