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Scale 3269: "Raga Malarani"

Scale 3269: Raga Malarani, 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 Malarani
Hamsanada
Zeitler
Lodimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,6,7,10,11}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1127
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 371
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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{7,11,2}221
Minor Triadsgm{7,10,2}221
bm{11,2,6}221
Augmented TriadsD+{2,6,10}221
Parsimonious Voice Leading Between Common Triads of Scale 3269. Created by Ian Ring ©2019 D+ D+ gm gm D+->gm bm bm D+->bm Parsimonious Voice Leading Between Common Triads of Scale 3269. Created by Ian Ring ©2019 G gm->G G->bm

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
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3269 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1841
Scale 1841: Thogimic, Ian Ring Music TheoryThogimic
3rd mode:
Scale 371
Scale 371: Rythimic, Ian Ring Music TheoryRythimicThis is the prime mode
4th mode:
Scale 2233
Scale 2233: Donimic, Ian Ring Music TheoryDonimic
5th mode:
Scale 791
Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
6th mode:
Scale 2443
Scale 2443: Panimic, Ian Ring Music TheoryPanimic

Prime

The prime form of this scale is Scale 371

Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic

Complement

The hexatonic modal family [3269, 1841, 371, 2233, 791, 2443] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3269 is 1127

Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3269 is chiral, and its enantiomorph is scale 1127

Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic

Transformations:

T0 3269  T0I 1127
T1 2443  T1I 2254
T2 791  T2I 413
T3 1582  T3I 826
T4 3164  T4I 1652
T5 2233  T5I 3304
T6 371  T6I 2513
T7 742  T7I 931
T8 1484  T8I 1862
T9 2968  T9I 3724
T10 1841  T10I 3353
T11 3682  T11I 2611

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 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3265Scale 3265, Ian Ring Music Theory
Scale 3267Scale 3267, Ian Ring Music Theory
Scale 3273Scale 3273: Raga Jivantini, Ian Ring Music TheoryRaga Jivantini
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3285Scale 3285: Mela Citrambari, Ian Ring Music TheoryMela Citrambari
Scale 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3237Scale 3237: Raga Brindabani Sarang, Ian Ring Music TheoryRaga Brindabani Sarang
Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 3781Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
Scale 2245Scale 2245: Raga Vaijayanti, Ian Ring Music TheoryRaga Vaijayanti
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic

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.