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Scale 3637: "Raga Rageshri"

Scale 3637: Raga Rageshri, 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 Rageshri
Zeitler
Kygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,9,10,11}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1423
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 431
Deep Scaleno
Interval Vector443352
Interval Spectrump5m3n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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 TriadsF{5,9,0}231.4
A♯{10,2,5}231.4
Minor Triadsdm{2,5,9}221.2
am{9,0,4}142
Diminished Triads{11,2,5}142
Parsimonious Voice Leading Between Common Triads of Scale 3637. Created by Ian Ring ©2019 dm dm F F dm->F A# A# dm->A# am am F->am A#->b°

view full size

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.

Diameter4
Radius2
Self-Centeredno
Central Verticesdm
Peripheral Verticesam, b°

Modes

Modes are the rotational transformation of this scale. Scale 3637 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1933
Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
3rd mode:
Scale 1507
Scale 1507: Zynian, Ian Ring Music TheoryZynian
4th mode:
Scale 2801
Scale 2801: Zogian, Ian Ring Music TheoryZogian
5th mode:
Scale 431
Scale 431: Epyrian, Ian Ring Music TheoryEpyrianThis is the prime mode
6th mode:
Scale 2263
Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
7th mode:
Scale 3179
Scale 3179: Daptian, Ian Ring Music TheoryDaptian

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [3637, 1933, 1507, 2801, 431, 2263, 3179] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3637 is 1423

Scale 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3637 is chiral, and its enantiomorph is scale 1423

Scale 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian

Transformations:

T0 3637  T0I 1423
T1 3179  T1I 2846
T2 2263  T2I 1597
T3 431  T3I 3194
T4 862  T4I 2293
T5 1724  T5I 491
T6 3448  T6I 982
T7 2801  T7I 1964
T8 1507  T8I 3928
T9 3014  T9I 3761
T10 1933  T10I 3427
T11 3866  T11I 2759

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 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3633Scale 3633: Daptimic, Ian Ring Music TheoryDaptimic
Scale 3635Scale 3635: Katygian, Ian Ring Music TheoryKatygian
Scale 3641Scale 3641: Thocrian, Ian Ring Music TheoryThocrian
Scale 3645Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 3605Scale 3605, Ian Ring Music Theory
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 3701Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3893Scale 3893: Phrocryllic, Ian Ring Music TheoryPhrocryllic
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri

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.