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Scale 1229: "Raga Simharava"

Scale 1229: Raga Simharava, 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

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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 Simharava
Raga Sinharavam
Gopikatilaka
Zeitler
Ragimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,7,10}
Forte Number6-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1637
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 691
Deep Scaleno
Interval Vector223431
Interval Spectrump3m4n3s2d2t
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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 TriadsD♯{3,7,10}321.17
Minor Triadscm{0,3,7}231.5
d♯m{3,6,10}321.17
gm{7,10,2}231.5
Augmented TriadsD+{2,6,10}231.5
Diminished Triads{0,3,6}231.5
Parsimonious Voice Leading Between Common Triads of Scale 1229. Created by Ian Ring ©2019 cm cm c°->cm d#m d#m c°->d#m D# D# cm->D# D+ D+ D+->d#m gm gm D+->gm d#m->D# D#->gm

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
Radius2
Self-Centeredno
Central Verticesd♯m, D♯
Peripheral Verticesc°, cm, D+, gm

Modes

Modes are the rotational transformation of this scale. Scale 1229 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1331
Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
3rd mode:
Scale 2713
Scale 2713: Porimic, Ian Ring Music TheoryPorimic
4th mode:
Scale 851
Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
5th mode:
Scale 2473
Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
6th mode:
Scale 821
Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic

Prime

The prime form of this scale is Scale 691

Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati

Complement

The hexatonic modal family [1229, 1331, 2713, 851, 2473, 821] (Forte: 6-31) is the complement of the hexatonic modal family [691, 811, 1433, 1637, 2393, 2453] (Forte: 6-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1229 is 1637

Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1229 is chiral, and its enantiomorph is scale 1637

Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic

Transformations:

T0 1229  T0I 1637
T1 2458  T1I 3274
T2 821  T2I 2453
T3 1642  T3I 811
T4 3284  T4I 1622
T5 2473  T5I 3244
T6 851  T6I 2393
T7 1702  T7I 691
T8 3404  T8I 1382
T9 2713  T9I 2764
T10 1331  T10I 1433
T11 2662  T11I 2866

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 1231Scale 1231: Logian, Ian Ring Music TheoryLogian
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1227Scale 1227: Thacrimic, Ian Ring Music TheoryThacrimic
Scale 1221Scale 1221: Epyritonic, Ian Ring Music TheoryEpyritonic
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1245Scale 1245: Lathian, Ian Ring Music TheoryLathian
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1741Scale 1741: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 205Scale 205, Ian Ring Music Theory
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati

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.