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Scale 293: "Raga Haripriya"

Scale 293: Raga Haripriya, 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 Haripriya
Zeitler
Zoptic

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,2,5,8}
Forte Number4-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1169
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?yes
Deep Scaleno
Interval Vector012111
Interval Spectrumpmn2st
Distribution Spectra<1> = {2,3,4}
<2> = {5,6,7}
<3> = {8,9,10}
Spectra Variation1.5
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyStrictly Proper
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
Minor Triadsfm{5,8,0}110.5
Diminished Triads{2,5,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 293. Created by Ian Ring ©2019 fm fm d°->fm

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 293 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1097
Scale 1097: Aeraphic, Ian Ring Music TheoryAeraphic
3rd mode:
Scale 649
Scale 649: Byptic, Ian Ring Music TheoryByptic
4th mode:
Scale 593
Scale 593: Saric, Ian Ring Music TheorySaric

Prime

This is the prime form of this scale.

Complement

The tetratonic modal family [293, 1097, 649, 593] (Forte: 4-27) is the complement of the octatonic modal family [1463, 1757, 1771, 1883, 2779, 2933, 2989, 3437] (Forte: 8-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 293 is 1169

Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 293 is chiral, and its enantiomorph is scale 1169

Scale 1169Scale 1169: Raga Mahathi, Ian Ring Music TheoryRaga Mahathi

Transformations:

T0 293  T0I 1169
T1 586  T1I 2338
T2 1172  T2I 581
T3 2344  T3I 1162
T4 593  T4I 2324
T5 1186  T5I 553
T6 2372  T6I 1106
T7 649  T7I 2212
T8 1298  T8I 329
T9 2596  T9I 658
T10 1097  T10I 1316
T11 2194  T11I 2632

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 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 289Scale 289, Ian Ring Music Theory
Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 261Scale 261, Ian Ring Music Theory
Scale 277Scale 277: Mixolyric, Ian Ring Music TheoryMixolyric
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 37Scale 37, Ian Ring Music Theory
Scale 165Scale 165: Genus Primum, Ian Ring Music TheoryGenus Primum
Scale 549Scale 549: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini

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.