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Scale 3273: "Raga Jivantini"

Scale 3273: Raga Jivantini, 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 Jivantini
Gaurikriya
Zeitler
Ionodimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,6,7,10,11}
Forte Number6-Z44
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 615
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 615
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {5,7}
<4> = {6,8,10}
<5> = {9,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.25
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 TriadsD♯{3,7,10}231.5
B{11,3,6}321.17
Minor Triadscm{0,3,7}231.5
d♯m{3,6,10}231.5
Augmented TriadsD♯+{3,7,11}321.17
Diminished Triads{0,3,6}231.5
Parsimonious Voice Leading Between Common Triads of Scale 3273. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ d#m d#m D# D# d#m->D# d#m->B D#->D#+ D#+->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.

Diameter3
Radius2
Self-Centeredno
Central VerticesD♯+, B
Peripheral Verticesc°, cm, d♯m, D♯

Modes

Modes are the rotational transformation of this scale. Scale 3273 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 921
Scale 921: Bogimic, Ian Ring Music TheoryBogimic
3rd mode:
Scale 627
Scale 627: Mogimic, Ian Ring Music TheoryMogimic
4th mode:
Scale 2361
Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
5th mode:
Scale 807
Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
6th mode:
Scale 2451
Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli

Prime

The prime form of this scale is Scale 615

Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic

Complement

The hexatonic modal family [3273, 921, 627, 2361, 807, 2451] (Forte: 6-Z44) is the complement of the hexatonic modal family [411, 867, 1587, 2253, 2481, 2841] (Forte: 6-Z19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3273 is 615

Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3273 is chiral, and its enantiomorph is scale 615

Scale 615Scale 615: Phrothimic, Ian Ring Music TheoryPhrothimic

Transformations:

T0 3273  T0I 615
T1 2451  T1I 1230
T2 807  T2I 2460
T3 1614  T3I 825
T4 3228  T4I 1650
T5 2361  T5I 3300
T6 627  T6I 2505
T7 1254  T7I 915
T8 2508  T8I 1830
T9 921  T9I 3660
T10 1842  T10I 3225
T11 3684  T11I 2355

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 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
Scale 3289Scale 3289: Lydian Sharp 2 Sharp 6, Ian Ring Music TheoryLydian Sharp 2 Sharp 6
Scale 3305Scale 3305: Chromatic Hypophrygian, Ian Ring Music TheoryChromatic Hypophrygian
Scale 3209Scale 3209: Aeraphitonic, Ian Ring Music TheoryAeraphitonic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3145Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
Scale 3401Scale 3401: Palimic, Ian Ring Music TheoryPalimic
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3785Scale 3785: Epagian, Ian Ring Music TheoryEpagian
Scale 2249Scale 2249: Raga Multani, Ian Ring Music TheoryRaga Multani
Scale 2761Scale 2761: Dagimic, Ian Ring Music TheoryDagimic
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya

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.