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Scale 323

Scale 323, 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).

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,1,6,8}
Forte Number4-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2129
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections2
Modes3
Prime?no
prime: 163
Deep Scaleno
Interval Vector110121
Interval Spectrump2msdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {5,6,7}
<3> = {7,8,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 323 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2209
Scale 2209, Ian Ring Music Theory
3rd mode:
Scale 197
Scale 197, Ian Ring Music Theory
4th mode:
Scale 1073
Scale 1073, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 163

Scale 163Scale 163, Ian Ring Music Theory

Complement

The tetratonic modal family [323, 2209, 197, 1073] (Forte: 4-16) is the complement of the octatonic modal family [943, 1511, 1949, 2519, 2803, 3307, 3449, 3701] (Forte: 8-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 323 is 2129

Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 323 is chiral, and its enantiomorph is scale 2129

Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini

Transformations:

T0 323  T0I 2129
T1 646  T1I 163
T2 1292  T2I 326
T3 2584  T3I 652
T4 1073  T4I 1304
T5 2146  T5I 2608
T6 197  T6I 1121
T7 394  T7I 2242
T8 788  T8I 389
T9 1576  T9I 778
T10 3152  T10I 1556
T11 2209  T11I 3112

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 321Scale 321, Ian Ring Music Theory
Scale 325Scale 325: Messiaen Truncated Mode 6, Ian Ring Music TheoryMessiaen Truncated Mode 6
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 259Scale 259, Ian Ring Music Theory
Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 387Scale 387, Ian Ring Music Theory
Scale 451Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini
Scale 67Scale 67, Ian Ring Music Theory
Scale 195Scale 195: Messiaen Truncated Mode 5, Ian Ring Music TheoryMessiaen Truncated Mode 5
Scale 579Scale 579, Ian Ring Music Theory
Scale 835Scale 835, Ian Ring Music Theory
Scale 1347Scale 1347, Ian Ring Music Theory
Scale 2371Scale 2371, Ian Ring Music Theory

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