Back to all scales
The Exciting Universe Of Music Theory

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

Scale 3967

Scale 3967, Ian Ring Music Theory
i

i = imperfections

Tones11 (undecatonic)
Pitch Class Set{0,1,2,3,4,5,6,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Palindromicno
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
Imperfections1
Modes10
Prime?no
prime: 2047
Chiralityno
Deep Scaleno
Interval Vector10101010105
Interval Spectrump10m10n10s10d10t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6}
<6> = {6,7}
<7> = {7,8}
<8> = {8,9}
<9> = {9,10}
<10> = {10,11}
Spectra Variation0.909
Myhill Propertyyes
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3967 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4031
Scale 4031, Ian Ring Music Theory
3rd mode:
Scale 4063
Scale 4063, Ian Ring Music Theory
4th mode:
Scale 4079
Scale 4079, Ian Ring Music Theory
5th mode:
Scale 4087
Scale 4087, Ian Ring Music Theory
6th mode:
Scale 4091
Scale 4091, Ian Ring Music Theory
7th mode:
Scale 4093
Scale 4093, Ian Ring Music Theory
8th mode:
Scale 2047
Scale 2047, Ian Ring Music TheoryThis is the prime mode
9th mode:
Scale 3071
Scale 3071, Ian Ring Music Theory
10th mode:
Scale 3583
Scale 3583, Ian Ring Music Theory
11th mode:
Scale 3839
Scale 3839, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047, Ian Ring Music Theory

Negative

The undecatonic modal family [3967, 4031, 4063, 4079, 4087, 4091, 4093, 2047, 3071, 3583, 3839] is the negative of the modal family [1]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3967 is 4063

Scale 4063Scale 4063, 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 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 3963Scale 3963, Ian Ring Music Theory
Scale 3959Scale 3959, Ian Ring Music Theory
Scale 3951Scale 3951, Ian Ring Music Theory
Scale 3935Scale 3935, Ian Ring Music Theory
Scale 3903Scale 3903, Ian Ring Music Theory
Scale 4031Scale 4031, Ian Ring Music Theory
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 3711Scale 3711, Ian Ring Music Theory
Scale 3839Scale 3839, Ian Ring Music Theory
Scale 3455Scale 3455, Ian Ring Music Theory
Scale 2943Scale 2943, Ian Ring Music Theory
Scale 1919Scale 1919, 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