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The Exciting Universe Of Music Theory

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Scale 3159

Scale 3159, Ian Ring Music Theory
iiii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,4,6,10,11}
Forte Number7-9
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 351
Chiralityyes
enantiomorph: 3399
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3159 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3627
Scale 3627, Ian Ring Music Theory
3rd mode:
Scale 3861
Scale 3861, Ian Ring Music Theory
4th mode:
Scale 1989
Scale 1989, Ian Ring Music Theory
5th mode:
Scale 1521
Scale 1521, Ian Ring Music Theory
6th mode:
Scale 351
Scale 351, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2223
Scale 2223, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351, Ian Ring Music Theory

Negative

The heptatonic modal family [3159, 3627, 3861, 1989, 1521, 351, 2223] is the negative of the pentatonic modal family [87, 1473, 1797, 2091, 3093]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3159 is 3399

Scale 3399Scale 3399, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3159 is chiral, and its enantiomorph is scale 3399

Scale 3399Scale 3399, 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 3157Scale 3157, Ian Ring Music Theory
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3167Scale 3167, Ian Ring Music Theory
Scale 3143Scale 3143, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3175Scale 3175, Ian Ring Music Theory
Scale 3191Scale 3191, Ian Ring Music Theory
Scale 3095Scale 3095, Ian Ring Music Theory
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3223Scale 3223, Ian Ring Music Theory
Scale 3287Scale 3287, Ian Ring Music Theory
Scale 3415Scale 3415, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2647Scale 2647, Ian Ring Music Theory
Scale 1111Scale 1111, 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