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Scale 709: "Raga Shri Kalyan"

Scale 709: Raga Shri Kalyan, 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 Shri Kalyan
Zeitler
Ionycritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,7,9}
Forte Number5-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1129
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes4
Prime?no
prime: 331
Deep Scaleno
Interval Vector122131
Interval Spectrump3mn2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,5,6}
<3> = {6,7,9}
<4> = {8,9,10,11}
Spectra Variation2.4
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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{2,6,9}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 709. Created by Ian Ring ©2019 D D f#° f#° D->f#°

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 709 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1201
Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
3rd mode:
Scale 331
Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya TodiThis is the prime mode
4th mode:
Scale 2213
Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
5th mode:
Scale 1577
Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)

Prime

The prime form of this scale is Scale 331

Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi

Complement

The pentatonic modal family [709, 1201, 331, 2213, 1577] (Forte: 5-29) is the complement of the heptatonic modal family [727, 1483, 1721, 1837, 2411, 2789, 3253] (Forte: 7-29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 709 is 1129

Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 709 is chiral, and its enantiomorph is scale 1129

Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns

Transformations:

T0 709  T0I 1129
T1 1418  T1I 2258
T2 2836  T2I 421
T3 1577  T3I 842
T4 3154  T4I 1684
T5 2213  T5I 3368
T6 331  T6I 2641
T7 662  T7I 1187
T8 1324  T8I 2374
T9 2648  T9I 653
T10 1201  T10I 1306
T11 2402  T11I 2612

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 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 705Scale 705, Ian Ring Music Theory
Scale 707Scale 707, Ian Ring Music Theory
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 725Scale 725: Raga Yamuna Kalyani, Ian Ring Music TheoryRaga Yamuna Kalyani
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 645Scale 645, Ian Ring Music Theory
Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic
Scale 581Scale 581: Eporic, Ian Ring Music TheoryEporic
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 197Scale 197, Ian Ring Music Theory
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
Scale 1733Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi

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.