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Scale 845: "Raga Neelangi"

Scale 845: Raga Neelangi, 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 Neelangi
Zeitler
Zyrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,8,9}
Forte Number6-30
Rotational Symmetry6 semitones
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1625
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes2
Prime?no
prime: 715
Deep Scaleno
Interval Vector224223
Interval Spectrump2m2n4s2d2t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {6}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedyes
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{2,6,9}231.5
G♯{8,0,3}231.5
Diminished Triads{0,3,6}231.5
d♯°{3,6,9}231.5
f♯°{6,9,0}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 845. Created by Ian Ring ©2019 d#° d#° c°->d#° G# G# c°->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 845 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 1235
Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
3rd mode:
Scale 2665
Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic

Prime

The prime form of this scale is Scale 715

Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2

Complement

The hexatonic modal family [845, 1235, 2665] (Forte: 6-30) is the complement of the hexatonic modal family [715, 1625, 2405] (Forte: 6-30)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 845 is 1625

Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 845 is chiral, and its enantiomorph is scale 1625

Scale 1625Scale 1625: Lythimic, Ian Ring Music TheoryLythimic

Transformations:

T0 845  T0I 1625
T1 1690  T1I 3250
T2 3380  T2I 2405
T3 2665  T3I 715
T4 1235  T4I 1430
T5 2470  T5I 2860
T6 845  T6I 1625
T7 1690  T7I 3250
T8 3380  T8I 2405
T9 2665  T9I 715
T10 1235  T10I 1430
T11 2470  T11I 2860

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 847Scale 847: Ganian, Ian Ring Music TheoryGanian
Scale 841Scale 841: Phrothitonic, Ian Ring Music TheoryPhrothitonic
Scale 843Scale 843: Molimic, Ian Ring Music TheoryMolimic
Scale 837Scale 837: Epaditonic, Ian Ring Music TheoryEpaditonic
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 861Scale 861: Rylian, Ian Ring Music TheoryRylian
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 781Scale 781, Ian Ring Music Theory
Scale 813Scale 813: Larimic, Ian Ring Music TheoryLarimic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 973Scale 973: Mela Syamalangi, Ian Ring Music TheoryMela Syamalangi
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 717Scale 717: Raga Vijayanagari, Ian Ring Music TheoryRaga Vijayanagari
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian

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.