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Scale 2403: "Lycrimic"

Scale 2403: Lycrimic, 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

Zeitler
Lycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,5,6,8,11}
Forte Number6-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2259
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2403 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3249
Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
3rd mode:
Scale 459
Scale 459: Zaptimic, Ian Ring Music TheoryZaptimic
4th mode:
Scale 2277
Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
5th mode:
Scale 1593
Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
6th mode:
Scale 711
Scale 711: Raga Chandrajyoti, Ian Ring Music TheoryRaga Chandrajyoti

Prime

The prime form of this scale is Scale 423

Scale 423Scale 423: Sogimic, Ian Ring Music TheorySogimic

Complement

The hexatonic modal family [2403, 3249, 459, 2277, 1593, 711] (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 2403 is 2259

Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2403 is chiral, and its enantiomorph is scale 2259

Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari

Transformations:

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

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 2401Scale 2401, Ian Ring Music Theory
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 2411Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
Scale 2419Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 2387Scale 2387: Paptimic, Ian Ring Music TheoryPaptimic
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2467Scale 2467: Raga Padi, Ian Ring Music TheoryRaga Padi
Scale 2531Scale 2531: Danian, Ian Ring Music TheoryDanian
Scale 2147Scale 2147, Ian Ring Music Theory
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic

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