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Scale 3957

Scale 3957, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,4,5,6,8,9,10,11}
Forte Number9-8
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Chiralityyes
enantiomorph: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3957 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2013		Scale 2013, Ian Ring Music Theory
3rd mode:
Scale 1527		Scale 1527, Ian Ring Music Theory
4th mode:
Scale 2811		Scale 2811, Ian Ring Music Theory
5th mode:
Scale 3453		Scale 3453, Ian Ring Music Theory
6th mode:
Scale 1887		Scale 1887, Ian Ring Music Theory
7th mode:
Scale 2991		Scale 2991, Ian Ring Music Theory
8th mode:
Scale 3543		Scale 3543, Ian Ring Music Theory
9th mode:
Scale 3819		Scale 3819, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503, Ian Ring Music Theory

Negative

The nonatonic modal family [3957, 2013, 1527, 2811, 3453, 1887, 2991, 3543, 3819] is the negative of the tritonic modal family [69, 321, 1041]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3957 is 1503

Scale 1503Scale 1503, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3957 is chiral, and its enantiomorph is scale 1503

Scale 1503Scale 1503, 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 3959Scale 3959, Ian Ring Music Theory
Scale 3953Scale 3953, Ian Ring Music Theory
Scale 3955Scale 3955, Ian Ring Music Theory
Scale 3961Scale 3961, Ian Ring Music Theory
Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 3941Scale 3941, Ian Ring Music Theory
Scale 3949Scale 3949, Ian Ring Music Theory
Scale 3925Scale 3925, Ian Ring Music Theory
Scale 3893Scale 3893, Ian Ring Music Theory
Scale 4021Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
Scale 4085Scale 4085, Ian Ring Music Theory
Scale 3701Scale 3701, Ian Ring Music Theory
Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3445Scale 3445: Messiaen mode 6 inverse, Ian Ring Music TheoryMessiaen mode 6 inverse
Scale 2933Scale 2933, Ian Ring Music Theory
Scale 1909Scale 1909, 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