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Scale 2349: "Raga Ghantana"

Scale 2349: Raga Ghantana, 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 Ghantana
Unknown / Unsorted
Kaushiranjani
Kaishikiranjani
Zeitler
Aerogimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,5,8,11}
Forte Number6-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1683
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 603
Deep Scaleno
Interval Vector225222
Interval Spectrump2m2n5s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
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}231.57
Minor Triadsfm{5,8,0}331.43
g♯m{8,11,3}331.43
Diminished Triads{2,5,8}231.57
{5,8,11}231.57
g♯°{8,11,2}231.57
{11,2,5}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2349. Created by Ian Ring ©2019 fm fm d°->fm d°->b° f°->fm g#m g#m f°->g#m G# G# fm->G# g#° g#° g#°->g#m g#°->b° g#m->G#

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.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2349 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1611
Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
3rd mode:
Scale 2853
Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
4th mode:
Scale 1737
Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
5th mode:
Scale 729
Scale 729: Stygimic, Ian Ring Music TheoryStygimic
6th mode:
Scale 603
Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimicThis is the prime mode

Prime

The prime form of this scale is Scale 603

Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic

Complement

The hexatonic modal family [2349, 1611, 2853, 1737, 729, 603] (Forte: 6-27) is the complement of the hexatonic modal family [603, 729, 1611, 1737, 2349, 2853] (Forte: 6-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2349 is 1683

Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2349 is chiral, and its enantiomorph is scale 1683

Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam

Transformations:

T0 2349  T0I 1683
T1 603  T1I 3366
T2 1206  T2I 2637
T3 2412  T3I 1179
T4 729  T4I 2358
T5 1458  T5I 621
T6 2916  T6I 1242
T7 1737  T7I 2484
T8 3474  T8I 873
T9 2853  T9I 1746
T10 1611  T10I 3492
T11 3222  T11I 2889

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 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2365Scale 2365: Sythian, Ian Ring Music TheorySythian
Scale 2317Scale 2317, Ian Ring Music Theory
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 3373Scale 3373: Lodian, Ian Ring Music TheoryLodian
Scale 301Scale 301: Raga Audav Tukhari, Ian Ring Music TheoryRaga Audav Tukhari
Scale 1325Scale 1325: Phradimic, Ian Ring Music TheoryPhradimic

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.