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Scale 2597: "Raga Rasranjani"

Scale 2597: Raga Rasranjani, 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 Rasranjani
Zeitler
Koptitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,5,9,11}
Forte Number5-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1163
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 301
Deep Scaleno
Interval Vector123121
Interval Spectrump2mn3s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,5,6,7}
<3> = {5,6,7,9}
<4> = {8,9,10,11}
Spectra Variation2.8
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 TriadsF{5,9,0}121
Minor Triadsdm{2,5,9}210.67
Diminished Triads{11,2,5}121
Parsimonious Voice Leading Between Common Triads of Scale 2597. Created by Ian Ring ©2019 dm dm F F dm->F dm->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.

Diameter2
Radius1
Self-Centeredno
Central Verticesdm
Peripheral VerticesF, b°

Modes

Modes are the rotational transformation of this scale. Scale 2597 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1673
Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
3rd mode:
Scale 721
Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
4th mode:
Scale 301
Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav TukhariThis is the prime mode
5th mode:
Scale 1099
Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic

Prime

The prime form of this scale is Scale 301

Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari

Complement

The pentatonic modal family [2597, 1673, 721, 301, 1099] (Forte: 5-25) is the complement of the heptatonic modal family [733, 1207, 1769, 1867, 2651, 2981, 3373] (Forte: 7-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2597 is 1163

Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2597 is chiral, and its enantiomorph is scale 1163

Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi

Transformations:

T0 2597  T0I 1163
T1 1099  T1I 2326
T2 2198  T2I 557
T3 301  T3I 1114
T4 602  T4I 2228
T5 1204  T5I 361
T6 2408  T6I 722
T7 721  T7I 1444
T8 1442  T8I 2888
T9 2884  T9I 1681
T10 1673  T10I 3362
T11 3346  T11I 2629

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 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2593Scale 2593, Ian Ring Music Theory
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 2565Scale 2565, Ian Ring Music Theory
Scale 2581Scale 2581: Raga Neroshta, Ian Ring Music TheoryRaga Neroshta
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2853Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 549Scale 549: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari

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.