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Scale 717: "Raga Vijayanagari"

Scale 717: Raga Vijayanagari, 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

41161837294116105072918310504116183
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 Vijayanagari
Zeitler
Gythimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,7,9}
Forte Number6-Z29
Rotational Symmetrynone
Reflection Axes4.5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector224232
Interval Spectrump3m2n4s2d2t2
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 Tones[9]
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 TriadsD{2,6,9}231.5
Minor Triadscm{0,3,7}231.5
Diminished Triads{0,3,6}231.5
d♯°{3,6,9}231.5
f♯°{6,9,0}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 717. Created by Ian Ring ©2019 cm cm c°->cm d#° d#° c°->d#° cm->a° D D D->d#° f#° f#° D->f#° f#°->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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 717 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1203
Scale 1203: Pagimic, Ian Ring Music TheoryPagimic
3rd mode:
Scale 2649
Scale 2649: Aeolythimic, Ian Ring Music TheoryAeolythimic
4th mode:
Scale 843
Scale 843: Molimic, Ian Ring Music TheoryMolimic
5th mode:
Scale 2469
Scale 2469: Raga Bhinna Pancama, Ian Ring Music TheoryRaga Bhinna Pancama
6th mode:
Scale 1641
Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [717, 1203, 2649, 843, 2469, 1641] (Forte: 6-Z29) is the complement of the hexatonic modal family [723, 813, 1227, 1689, 2409, 2661] (Forte: 6-Z50)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 717 is 1641

Scale 1641Scale 1641: Bocrimic, Ian Ring Music TheoryBocrimic

Transformations:

T0 717  T0I 1641
T1 1434  T1I 3282
T2 2868  T2I 2469
T3 1641  T3I 843
T4 3282  T4I 1686
T5 2469  T5I 3372
T6 843  T6I 2649
T7 1686  T7I 1203
T8 3372  T8I 2406
T9 2649  T9I 717
T10 1203  T10I 1434
T11 2406  T11I 2868

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 719Scale 719: Kanian, Ian Ring Music TheoryKanian
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 749Scale 749: Aeologian, Ian Ring Music TheoryAeologian
Scale 653Scale 653: Dorian Pentatonic, Ian Ring Music TheoryDorian Pentatonic
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 205Scale 205, Ian Ring Music Theory
Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
Scale 1229Scale 1229: Raga Simharava, Ian Ring Music TheoryRaga Simharava
Scale 1741Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished

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.