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Scale 3131

Scale 3131, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,3,4,5,10,11}
Forte Number7-5
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Chiralityyes
enantiomorph: 2951
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3131 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3613
Scale 3613, Ian Ring Music Theory
3rd mode:
Scale 1927
Scale 1927, Ian Ring Music Theory
4th mode:
Scale 3011
Scale 3011, Ian Ring Music Theory
5th mode:
Scale 3553
Scale 3553, Ian Ring Music Theory
6th mode:
Scale 239
Scale 239, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2167
Scale 2167, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Negative

The heptatonic modal family [3131, 3613, 1927, 3011, 3553, 239, 2167] is the negative of the pentatonic modal family [143, 481, 2119, 3107, 3601]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3131 is 2951

Scale 2951Scale 2951, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3131 is chiral, and its enantiomorph is scale 2951

Scale 2951Scale 2951, 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 3129Scale 3129, Ian Ring Music Theory
Scale 3133Scale 3133, Ian Ring Music Theory
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3123Scale 3123, Ian Ring Music Theory
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3195Scale 3195, Ian Ring Music Theory
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3387Scale 3387, Ian Ring Music Theory
Scale 3643Scale 3643, Ian Ring Music Theory
Scale 2107Scale 2107, Ian Ring Music Theory
Scale 2619Scale 2619, Ian Ring Music Theory
Scale 1083Scale 1083, 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