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Scale 301: "Raga Audav Tukhari"

Scale 301: Raga Audav Tukhari, 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 Audav Tukhari
Zeitler
Zythitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,5,8}
Forte Number5-25
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1681
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?yes
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 TriadsG♯{8,0,3}121
Minor Triadsfm{5,8,0}210.67
Diminished Triads{2,5,8}121
Parsimonious Voice Leading Between Common Triads of Scale 301. Created by Ian Ring ©2019 fm fm d°->fm G# G# fm->G#

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 Verticesfm
Peripheral Verticesd°, G♯

Modes

Modes are the rotational transformation of this scale. Scale 301 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1099
Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
3rd mode:
Scale 2597
Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
4th mode:
Scale 1673
Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
5th mode:
Scale 721
Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri

Prime

This is the prime form of this scale.

Complement

The pentatonic modal family [301, 1099, 2597, 1673, 721] (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 301 is 1681

Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 301 is chiral, and its enantiomorph is scale 1681

Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji

Transformations:

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

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 303Scale 303: Golimic, Ian Ring Music TheoryGolimic
Scale 297Scale 297: Mynic, Ian Ring Music TheoryMynic
Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini
Scale 293Scale 293: Raga Haripriya, Ian Ring Music TheoryRaga Haripriya
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic
Scale 269Scale 269, Ian Ring Music Theory
Scale 285Scale 285: Zaritonic, Ian Ring Music TheoryZaritonic
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic
Scale 429Scale 429: Koptimic, Ian Ring Music TheoryKoptimic
Scale 45Scale 45, Ian Ring Music Theory
Scale 173Scale 173: Raga Purnalalita, Ian Ring Music TheoryRaga Purnalalita
Scale 557Scale 557: Raga Abhogi, Ian Ring Music TheoryRaga Abhogi
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana

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.