Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 3431

Scale 3431, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,5,6,8,10,11}
Forte Number8-Z15
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 863
Chiralityyes
enantiomorph: 3287
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3431 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3763
Scale 3763, Ian Ring Music Theory
3rd mode:
Scale 3929
Scale 3929, Ian Ring Music Theory
4th mode:
Scale 1003
Scale 1003, Ian Ring Music Theory
5th mode:
Scale 2549
Scale 2549, Ian Ring Music Theory
6th mode:
Scale 1661
Scale 1661, Ian Ring Music Theory
7th mode:
Scale 1439
Scale 1439, Ian Ring Music Theory
8th mode:
Scale 2767
Scale 2767, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory

Negative

The octatonic modal family [3431, 3763, 3929, 1003, 2549, 1661, 1439, 2767] is the negative of the tetratonic modal family [83, 773, 1217, 2089]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3431 is 3287

Scale 3287Scale 3287, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3431 is chiral, and its enantiomorph is scale 3287

Scale 3287Scale 3287, 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 3429Scale 3429, Ian Ring Music Theory
Scale 3427Scale 3427, Ian Ring Music Theory
Scale 3435Scale 3435: Prokofiev, Ian Ring Music TheoryProkofiev
Scale 3439Scale 3439, Ian Ring Music Theory
Scale 3447Scale 3447, Ian Ring Music Theory
Scale 3399Scale 3399, Ian Ring Music Theory
Scale 3415Scale 3415, Ian Ring Music Theory
Scale 3367Scale 3367, Ian Ring Music Theory
Scale 3495Scale 3495, Ian Ring Music Theory
Scale 3559Scale 3559, Ian Ring Music Theory
Scale 3175Scale 3175, Ian Ring Music Theory
Scale 3303Scale 3303, Ian Ring Music Theory
Scale 3687Scale 3687, Ian Ring Music Theory
Scale 3943Scale 3943, Ian Ring Music Theory
Scale 2407Scale 2407, Ian Ring Music Theory
Scale 2919Scale 2919, Ian Ring Music Theory
Scale 1383Scale 1383, 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