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Scale 2401

Scale 2401, Ian Ring Music Theory

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,8,11}
Forte Number5-19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 211
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 203
Deep Scaleno
Interval Vector212122
Interval Spectrump2mn2sd2t2
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,5,6}
<3> = {6,7,8,9}
<4> = {7,9,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2401 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 203
Scale 203, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2149
Scale 2149, Ian Ring Music Theory
4th mode:
Scale 1561
Scale 1561, Ian Ring Music Theory
5th mode:
Scale 707
Scale 707, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 203

Scale 203Scale 203, Ian Ring Music Theory

Complement

The pentatonic modal family [2401, 203, 2149, 1561, 707] (Forte: 5-19) is the complement of the heptatonic modal family [719, 971, 1657, 2407, 2533, 3251, 3673] (Forte: 7-19)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2401 is 211

Scale 211Scale 211, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2401 is chiral, and its enantiomorph is scale 211

Scale 211Scale 211, Ian Ring Music Theory

Transformations:

T0 2401  T0I 211
T1 707  T1I 422
T2 1414  T2I 844
T3 2828  T3I 1688
T4 1561  T4I 3376
T5 3122  T5I 2657
T6 2149  T6I 1219
T7 203  T7I 2438
T8 406  T8I 781
T9 812  T9I 1562
T10 1624  T10I 3124
T11 3248  T11I 2153

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 2403Scale 2403: Lycrimic, Ian Ring Music TheoryLycrimic
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 2409Scale 2409: Zacrimic, Ian Ring Music TheoryZacrimic
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2385Scale 2385: Aeolanitonic, Ian Ring Music TheoryAeolanitonic
Scale 2337Scale 2337, Ian Ring Music Theory
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2273Scale 2273, Ian Ring Music Theory
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2913Scale 2913, Ian Ring Music Theory
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 353Scale 353, Ian Ring Music Theory
Scale 1377Scale 1377, 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