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Scale 3249: "Raga Tilang"

Scale 3249: Raga Tilang, 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 Tilang
Unknown / Unsorted
Savitri
Brindabani Tilang
Zeitler
Epygimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,7,10,11}
Forte Number6-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 423
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes5
Prime?no
prime: 423
Deep Scaleno
Interval Vector322242
Interval Spectrump4m2n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {5,6,7}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3249 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 459
Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
3rd mode:
Scale 2277
Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
4th mode:
Scale 1593
Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
5th mode:
Scale 711
Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti
6th mode:
Scale 2403
Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic

Prime

The prime form of this scale is Scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Complement

The hexatonic modal family [3249, 459, 2277, 1593, 711, 2403] (Forte: 6-18) is the complement of the hexatonic modal family [423, 909, 1251, 2259, 2673, 3177] (Forte: 6-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3249 is 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3249 is chiral, and its enantiomorph is scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Transformations:

T0 3249  T0I 423
T1 2403  T1I 846
T2 711  T2I 1692
T3 1422  T3I 3384
T4 2844  T4I 2673
T5 1593  T5I 1251
T6 3186  T6I 2502
T7 2277  T7I 909
T8 459  T8I 1818
T9 918  T9I 3636
T10 1836  T10I 3177
T11 3672  T11I 2259

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 3251Scale 3251: Mela Hatakambari, Ian Ring Music TheoryMela Hatakambari
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3257Scale 3257: Mela Calanata, Ian Ring Music TheoryMela Calanata
Scale 3233Scale 3233, Ian Ring Music Theory
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
Scale 3313Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
Scale 3121Scale 3121, Ian Ring Music Theory
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
Scale 3505Scale 3505: Stygian, Ian Ring Music TheoryStygian
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 2225Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
Scale 2737Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.