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Scale 1421: "Raga Trimurti"

Scale 1421: Raga Trimurti, 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.

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 Trimurti
Zeitler
Aeolaphimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,7,8,10}
Forte Number6-Z26
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes5
Prime?no
prime: 427
Deep Scaleno
Interval Vector232341
Interval Spectrump4m3n2s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {8,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1421 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1379
Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
3rd mode:
Scale 2737
Scale 2737: Raga Hari Nata, Ian Ring Music TheoryRaga Hari Nata
4th mode:
Scale 427
Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha SimantiniThis is the prime mode
5th mode:
Scale 2261
Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
6th mode:
Scale 1589
Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri

Prime

The prime form of this scale is Scale 427

Scale 427Scale 427: Raga Suddha Simantini, Ian Ring Music TheoryRaga Suddha Simantini

Complement

The hexatonic modal family [1421, 1379, 2737, 427, 2261, 1589] (Forte: 6-Z26) is the complement of the hexatonic modal family [679, 917, 1253, 1337, 2387, 3241] (Forte: 6-Z48)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1421 is 1589

Scale 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri

Transformations:

T0 1421  T0I 1589
T1 2842  T1I 3178
T2 1589  T2I 2261
T3 3178  T3I 427
T4 2261  T4I 854
T5 427  T5I 1708
T6 854  T6I 3416
T7 1708  T7I 2737
T8 3416  T8I 1379
T9 2737  T9I 2758
T10 1379  T10I 1421
T11 2758  T11I 2842

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 1423Scale 1423: Doptian, Ian Ring Music TheoryDoptian
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1419Scale 1419: Raga Kashyapi, Ian Ring Music TheoryRaga Kashyapi
Scale 1413Scale 1413, Ian Ring Music Theory
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1293Scale 1293, Ian Ring Music Theory
Scale 1357Scale 1357: Takemitsu Linea Mode 2, Ian Ring Music TheoryTakemitsu Linea Mode 2
Scale 1165Scale 1165: Gycritonic, Ian Ring Music TheoryGycritonic
Scale 1677Scale 1677: Raga Manavi, Ian Ring Music TheoryRaga Manavi
Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
Scale 397Scale 397: Aeolian Pentatonic, Ian Ring Music TheoryAeolian Pentatonic
Scale 909Scale 909: Katarimic, Ian Ring Music TheoryKatarimic
Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian

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. Bibliography