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Scale 3147

Scale 3147, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,3,6,10,11}
Forte Number6-Z40
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Chiralityyes
enantiomorph: 2631
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3147 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3621
Scale 3621, Ian Ring Music Theory
3rd mode:
Scale 1929
Scale 1929, Ian Ring Music Theory
4th mode:
Scale 753
Scale 753, Ian Ring Music Theory
5th mode:
Scale 303
Scale 303, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2199
Scale 2199, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303, Ian Ring Music Theory

Negative

The hexatonic modal family [3147, 3621, 1929, 753, 303, 2199] is the negative of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3147 is 2631

Scale 2631Scale 2631, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3147 is chiral, and its enantiomorph is scale 2631

Scale 2631Scale 2631, 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 3145Scale 3145, Ian Ring Music Theory
Scale 3149Scale 3149, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3139Scale 3139, Ian Ring Music Theory
Scale 3143Scale 3143, Ian Ring Music Theory
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3179Scale 3179, Ian Ring Music Theory
Scale 3083Scale 3083, Ian Ring Music Theory
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3211Scale 3211, Ian Ring Music Theory
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3403Scale 3403, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2635Scale 2635, Ian Ring Music Theory
Scale 1099Scale 1099, 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