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Scale 3519: "Raga Sindhi-Bhairavi"

Scale 3519: Raga Sindhi-Bhairavi, 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 Sindhi-Bhairavi
Zeitler
Boptyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,5,7,8,10,11}
Forte Number10-3
Rotational Symmetrynone
Reflection Axes1.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1791
Deep Scaleno
Interval Vector889884
Interval Spectrump8m8n9s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.4
Maximally Evenno
Maximal Area Setyes
Interior Area2.866
Myhill Propertyno
Balancedno
Ridge Tones[3]
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 TriadsC{0,4,7}452.67
C♯{1,5,8}452.75
D♯{3,7,10}352.75
E{4,8,11}452.58
G{7,11,2}452.67
G♯{8,0,3}352.75
A♯{10,2,5}452.83
Minor Triadscm{0,3,7}352.75
c♯m{1,4,8}452.67
em{4,7,11}452.58
fm{5,8,0}352.75
gm{7,10,2}452.75
g♯m{8,11,3}452.67
a♯m{10,1,5}452.83
Augmented TriadsC+{0,4,8}552.5
D♯+{3,7,11}552.5
Diminished Triadsc♯°{1,4,7}253
{2,5,8}253
{4,7,10}253
{5,8,11}253
{7,10,1}253
g♯°{8,11,2}253
a♯°{10,1,4}253
{11,2,5}253
Parsimonious Voice Leading Between Common Triads of Scale 3519. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ G# G# cm->G# C+ C+ C->C+ c#° c#° C->c#° em em C->em c#m c#m C+->c#m E E C+->E fm fm C+->fm C+->G# c#°->c#m C# C# c#m->C# a#° a#° c#m->a#° C#->d° C#->fm a#m a#m C#->a#m A# A# d°->A# D# D# D#->D#+ D#->e° gm gm D#->gm D#+->em Parsimonious Voice Leading Between Common Triads of Scale 3519. Created by Ian Ring ©2019 G D#+->G g#m g#m D#+->g#m e°->em em->E E->f° E->g#m f°->fm g°->gm g°->a#m gm->G gm->A# g#° g#° G->g#° G->b° g#°->g#m g#m->G# a#°->a#m a#m->A# A#->b°

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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.

Diameter5
Radius5
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3519 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3807
Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
3rd mode:
Scale 3951
Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
4th mode:
Scale 4023
Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
5th mode:
Scale 4059
Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
6th mode:
Scale 4077
Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
7th mode:
Scale 2043
Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
8th mode:
Scale 3069
Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
9th mode:
Scale 1791
Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllianThis is the prime mode
10th mode:
Scale 2943
Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian

Prime

The prime form of this scale is Scale 1791

Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian

Complement

The decatonic modal family [3519, 3807, 3951, 4023, 4059, 4077, 2043, 3069, 1791, 2943] (Forte: 10-3) is the complement of the modal family [9, 513] (Forte: 2-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3519 is 4023

Scale 4023Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian

Transformations:

T0 3519  T0I 4023
T1 2943  T1I 3951
T2 1791  T2I 3807
T3 3582  T3I 3519
T4 3069  T4I 2943
T5 2043  T5I 1791
T6 4086  T6I 3582
T7 4077  T7I 3069
T8 4059  T8I 2043
T9 4023  T9I 4086
T10 3951  T10I 4077
T11 3807  T11I 4059

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 3517Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
Scale 3487Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
Scale 3551Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 3263Scale 3263: Pyrygic, Ian Ring Music TheoryPyrygic
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 4031Scale 4031: Godatic, Ian Ring Music TheoryGodatic
Scale 2495Scale 2495: Aeolocrygic, Ian Ring Music TheoryAeolocrygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

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.