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Scale 3013

Scale 3013, Ian Ring Music Theory
iii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,2,6,7,8,9,11}
Forte Number7-Z36
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 367
Chiralityyes
enantiomorph: 1147
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3013 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1777
Scale 1777, Ian Ring Music Theory
3rd mode:
Scale 367
Scale 367, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2231
Scale 2231, Ian Ring Music Theory
5th mode:
Scale 3163
Scale 3163, Ian Ring Music Theory
6th mode:
Scale 3629
Scale 3629, Ian Ring Music Theory
7th mode:
Scale 1931
Scale 1931, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 367

Scale 367Scale 367, Ian Ring Music Theory

Negative

The heptatonic modal family [3013, 1777, 367, 2231, 3163, 3629, 1931] is the negative of the pentatonic modal family [151, 737, 1801, 2123, 3109]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3013 is 1147

Scale 1147Scale 1147, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3013 is chiral, and its enantiomorph is scale 1147

Scale 1147Scale 1147, Ian Ring Music Theory

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 3015Scale 3015, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 3017Scale 3017, Ian Ring Music Theory
Scale 3021Scale 3021, Ian Ring Music Theory
Scale 3029Scale 3029, Ian Ring Music Theory
Scale 3045Scale 3045, Ian Ring Music Theory
Scale 2949Scale 2949, Ian Ring Music Theory
Scale 2981Scale 2981, Ian Ring Music Theory
Scale 2885Scale 2885, Ian Ring Music Theory
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2501Scale 2501, Ian Ring Music Theory
Scale 3525Scale 3525, Ian Ring Music Theory
Scale 4037Scale 4037, Ian Ring Music Theory
Scale 965Scale 965, Ian Ring Music Theory
Scale 1989Scale 1989, 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