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Scale 3163

Scale 3163, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,3,4,6,10,11}
Forte Number7-Z36
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 367
Chiralityyes
enantiomorph: 2887
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 3163 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3629
Scale 3629, Ian Ring Music Theory
3rd mode:
Scale 1931
Scale 1931, Ian Ring Music Theory
4th mode:
Scale 3013
Scale 3013, Ian Ring Music Theory
5th mode:
Scale 1777
Scale 1777, Ian Ring Music Theory
6th mode:
Scale 367
Scale 367, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2231
Scale 2231, 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 [3163, 3629, 1931, 3013, 1777, 367, 2231] 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 3163 is 2887

Scale 2887Scale 2887, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3163 is chiral, and its enantiomorph is scale 2887

Scale 2887Scale 2887, 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 3161Scale 3161, Ian Ring Music Theory
Scale 3165Scale 3165, Ian Ring Music Theory
Scale 3167Scale 3167, Ian Ring Music Theory
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 3159Scale 3159, Ian Ring Music Theory
Scale 3147Scale 3147, Ian Ring Music Theory
Scale 3179Scale 3179, Ian Ring Music Theory
Scale 3195Scale 3195, Ian Ring Music Theory
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3227Scale 3227, Ian Ring Music Theory
Scale 3291Scale 3291, Ian Ring Music Theory
Scale 3419Scale 3419: Magan Abot, Ian Ring Music TheoryMagan Abot
Scale 3675Scale 3675, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2651Scale 2651, Ian Ring Music Theory
Scale 1115Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror

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