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Scale 2637: "Raga Ranjani"

Scale 2637: Raga Ranjani, 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 Raga
Raga Ranjani
Unknown / Unsorted
Rangini
Zeitler
Aeolonimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,9,11}
Forte Number6-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1611
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 603
Deep Scaleno
Interval Vector225222
Interval Spectrump2m2n5s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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}331.43
B{11,3,6}331.43
Minor Triadsbm{11,2,6}231.57
Diminished Triads{0,3,6}231.57
d♯°{3,6,9}231.57
f♯°{6,9,0}231.57
{9,0,3}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2637. Created by Ian Ring ©2019 c°->a° B B c°->B D D d#° d#° D->d#° f#° f#° D->f#° bm bm D->bm d#°->B f#°->a° bm->B

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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 2637 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1683
Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
3rd mode:
Scale 2889
Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
4th mode:
Scale 873
Scale 873: Bagimic, Ian Ring Music TheoryBagimic
5th mode:
Scale 621
Scale 621: Pyramid Hexatonic, Ian Ring Music TheoryPyramid Hexatonic
6th mode:
Scale 1179
Scale 1179: Sonimic, Ian Ring Music TheorySonimic

Prime

The prime form of this scale is Scale 603

Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic

Complement

The hexatonic modal family [2637, 1683, 2889, 873, 621, 1179] (Forte: 6-27) is the complement of the hexatonic modal family [603, 729, 1611, 1737, 2349, 2853] (Forte: 6-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2637 is 1611

Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2637 is chiral, and its enantiomorph is scale 1611

Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic

Transformations:

T0 2637  T0I 1611
T1 1179  T1I 3222
T2 2358  T2I 2349
T3 621  T3I 603
T4 1242  T4I 1206
T5 2484  T5I 2412
T6 873  T6I 729
T7 1746  T7I 1458
T8 3492  T8I 2916
T9 2889  T9I 1737
T10 1683  T10I 3474
T11 3366  T11I 2853

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 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2633Scale 2633: Bartók Beta Chord, Ian Ring Music TheoryBartók Beta Chord
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2645Scale 2645: Raga Mruganandana, Ian Ring Music TheoryRaga Mruganandana
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic

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.