The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 967: "Mela Salaga"

Scale 967: Mela Salaga, 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 Salaga
Mela Salagam
Zeitler
Aeolanian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,6,7,8,9}
Forte Number7-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3193
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes6
Prime?no
prime: 463
Deep Scaleno
Interval Vector532353
Interval Spectrump5m3n2s3d5t3
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.183
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}121
Minor Triadsf♯m{6,9,1}210.67
Diminished Triadsf♯°{6,9,0}121
Parsimonious Voice Leading Between Common Triads of Scale 967. Created by Ian Ring ©2019 D D f#m f#m D->f#m f#° f#° f#°->f#m

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
Radius1
Self-Centeredno
Central Verticesf♯m
Peripheral VerticesD, f♯°

Modes

Modes are the rotational transformation of this scale. Scale 967 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2531
Scale 2531: Danian, Ian Ring Music TheoryDanian
3rd mode:
Scale 3313
Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
4th mode:
Scale 463
Scale 463: Zythian, Ian Ring Music TheoryZythianThis is the prime mode
5th mode:
Scale 2279
Scale 2279: Dyrian, Ian Ring Music TheoryDyrian
6th mode:
Scale 3187
Scale 3187: Koptian, Ian Ring Music TheoryKoptian
7th mode:
Scale 3641
Scale 3641: Thocrian, Ian Ring Music TheoryThocrian

Prime

The prime form of this scale is Scale 463

Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian

Complement

The heptatonic modal family [967, 2531, 3313, 463, 2279, 3187, 3641] (Forte: 7-7) is the complement of the pentatonic modal family [199, 451, 2147, 2273, 3121] (Forte: 5-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 967 is 3193

Scale 3193Scale 3193: Zathian, Ian Ring Music TheoryZathian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 967 is chiral, and its enantiomorph is scale 3193

Scale 3193Scale 3193: Zathian, Ian Ring Music TheoryZathian

Transformations:

T0 967  T0I 3193
T1 1934  T1I 2291
T2 3868  T2I 487
T3 3641  T3I 974
T4 3187  T4I 1948
T5 2279  T5I 3896
T6 463  T6I 3697
T7 926  T7I 3299
T8 1852  T8I 2503
T9 3704  T9I 911
T10 3313  T10I 1822
T11 2531  T11I 3644

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 965Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
Scale 963Scale 963, Ian Ring Music Theory
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 975Scale 975: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 983Scale 983: Thocryllic, Ian Ring Music TheoryThocryllic
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 903Scale 903, Ian Ring Music Theory
Scale 935Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian
Scale 839Scale 839: Ionathimic, Ian Ring Music TheoryIonathimic
Scale 711Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
Scale 455Scale 455: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 1479Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
Scale 1991Scale 1991: Phryptyllic, Ian Ring Music TheoryPhryptyllic
Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic

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.