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Scale 985: "Mela Sucaritra"

Scale 985: Mela Sucaritra, 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 Sucaritra
Carnatic Raga
Raga Santanamanjari
Zeitler
Raptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,6,7,8,9}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 889
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
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 TriadsC{0,4,7}231.89
G♯{8,0,3}331.67
Minor Triadscm{0,3,7}331.67
am{9,0,4}331.67
Augmented TriadsC+{0,4,8}331.67
Diminished Triads{0,3,6}231.89
d♯°{3,6,9}232
f♯°{6,9,0}231.89
{9,0,3}231.89
Parsimonious Voice Leading Between Common Triads of Scale 985. Created by Ian Ring ©2019 cm cm c°->cm d#° d#° c°->d#° C C cm->C G# G# cm->G# C+ C+ C->C+ C+->G# am am C+->am f#° f#° d#°->f#° f#°->am G#->a° a°->am

view full size

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

2nd mode:
Scale 635
Scale 635: Epolian, Ian Ring Music TheoryEpolian
3rd mode:
Scale 2365
Scale 2365: Sythian, Ian Ring Music TheorySythian
4th mode:
Scale 1615
Scale 1615: Sydian, Ian Ring Music TheorySydian
5th mode:
Scale 2855
Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
6th mode:
Scale 3475
Scale 3475: Kylian, Ian Ring Music TheoryKylian
7th mode:
Scale 3785
Scale 3785: Epagian, Ian Ring Music TheoryEpagian

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [985, 635, 2365, 1615, 2855, 3475, 3785] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 985 is 889

Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 985 is chiral, and its enantiomorph is scale 889

Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian

Transformations:

T0 985  T0I 889
T1 1970  T1I 1778
T2 3940  T2I 3556
T3 3785  T3I 3017
T4 3475  T4I 1939
T5 2855  T5I 3878
T6 1615  T6I 3661
T7 3230  T7I 3227
T8 2365  T8I 2359
T9 635  T9I 623
T10 1270  T10I 1246
T11 2540  T11I 2492

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 987Scale 987: Aeraptyllic, Ian Ring Music TheoryAeraptyllic
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
Scale 981Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani
Scale 969Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic
Scale 921Scale 921: Bogimic, Ian Ring Music TheoryBogimic
Scale 953Scale 953: Mela Yagapriya, Ian Ring Music TheoryMela Yagapriya
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 729Scale 729: Stygimic, Ian Ring Music TheoryStygimic
Scale 473Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 2009Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic
Scale 3033Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic

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.