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Scale 3237: "Raga Brindabani Sarang"

Scale 3237: Raga Brindabani Sarang, 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 Brindabani Sarang
Megh
Megh Malhar
Zeitler
Thatimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,7,10,11}
Forte Number6-Z47
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1191
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 663
Deep Scaleno
Interval Vector233241
Interval Spectrump4m2n3s3d2t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9,10}
<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{7,11,2}221
A♯{10,2,5}221
Minor Triadsgm{7,10,2}221
Diminished Triads{11,2,5}221
Parsimonious Voice Leading Between Common Triads of Scale 3237. Created by Ian Ring ©2019 gm gm Parsimonious Voice Leading Between Common Triads of Scale 3237. Created by Ian Ring ©2019 G gm->G A# A# gm->A# G->b° A#->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
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3237 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1833
Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
3rd mode:
Scale 741
Scale 741: Gathimic, Ian Ring Music TheoryGathimic
4th mode:
Scale 1209
Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
5th mode:
Scale 663
Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimicThis is the prime mode
6th mode:
Scale 2379
Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi

Prime

The prime form of this scale is Scale 663

Scale 663Scale 663: Phrynimic, Ian Ring Music TheoryPhrynimic

Complement

The hexatonic modal family [3237, 1833, 741, 1209, 663, 2379] (Forte: 6-Z47) is the complement of the hexatonic modal family [363, 1419, 1581, 1713, 2229, 2757] (Forte: 6-Z25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3237 is 1191

Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3237 is chiral, and its enantiomorph is scale 1191

Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic

Transformations:

T0 3237  T0I 1191
T1 2379  T1I 2382
T2 663  T2I 669
T3 1326  T3I 1338
T4 2652  T4I 2676
T5 1209  T5I 1257
T6 2418  T6I 2514
T7 741  T7I 933
T8 1482  T8I 1866
T9 2964  T9I 3732
T10 1833  T10I 3369
T11 3666  T11I 2643

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 3239Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
Scale 3233Scale 3233, Ian Ring Music Theory
Scale 3235Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3221Scale 3221: Bycrimic, Ian Ring Music TheoryBycrimic
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3365Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 3749Scale 3749: Raga Sorati, Ian Ring Music TheoryRaga Sorati
Scale 2213Scale 2213: Raga Desh, Ian Ring Music TheoryRaga Desh
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic

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.