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Scale 973: "Mela Syamalangi"

Scale 973: Mela Syamalangi, 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 Mela
Mela Syamalangi
Carnatic Raga
Raga Shyamalam
Zeitler
Phryptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,6,7,8,9}
Forte Number7-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1657
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 719
Deep Scaleno
Interval Vector434343
Interval Spectrump4m3n4s3d4t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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 TriadsD{2,6,9}231.71
G♯{8,0,3}231.71
Minor Triadscm{0,3,7}231.71
Diminished Triads{0,3,6}231.71
d♯°{3,6,9}231.71
f♯°{6,9,0}231.71
{9,0,3}231.71
Parsimonious Voice Leading Between Common Triads of Scale 973. Created by Ian Ring ©2019 cm cm c°->cm d#° d#° c°->d#° G# G# cm->G# D D D->d#° f#° f#° D->f#° f#°->a° G#->a°

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 973 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1267
Scale 1267: Katynian, Ian Ring Music TheoryKatynian
3rd mode:
Scale 2681
Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
4th mode:
Scale 847
Scale 847: Ganian, Ian Ring Music TheoryGanian
5th mode:
Scale 2471
Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
6th mode:
Scale 3283
Scale 3283: Mela Visvambhari, Ian Ring Music TheoryMela Visvambhari
7th mode:
Scale 3689
Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian

Prime

The prime form of this scale is Scale 719

Scale 719Scale 719: Kanian, Ian Ring Music TheoryKanian

Complement

The heptatonic modal family [973, 1267, 2681, 847, 2471, 3283, 3689] (Forte: 7-19) is the complement of the pentatonic modal family [203, 707, 1561, 2149, 2401] (Forte: 5-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 973 is 1657

Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 973 is chiral, and its enantiomorph is scale 1657

Scale 1657Scale 1657: Ionothian, Ian Ring Music TheoryIonothian

Transformations:

T0 973  T0I 1657
T1 1946  T1I 3314
T2 3892  T2I 2533
T3 3689  T3I 971
T4 3283  T4I 1942
T5 2471  T5I 3884
T6 847  T6I 3673
T7 1694  T7I 3251
T8 3388  T8I 2407
T9 2681  T9I 719
T10 1267  T10I 1438
T11 2534  T11I 2876

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 975Scale 975: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 981Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 1005Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 941Scale 941: Mela Jhankaradhvani, Ian Ring Music TheoryMela Jhankaradhvani
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 461Scale 461: Raga Syamalam, Ian Ring Music TheoryRaga Syamalam
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 3021Scale 3021: Stodyllic, Ian Ring Music TheoryStodyllic

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.