Back to all scales
The Exciting Universe Of Music Theory

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

Scale 3191

Scale 3191, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,4,5,6,10,11}
Forte Number8-5
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 479
Chiralityyes
enantiomorph: 3527
Deep Scaleno
Interval Vector654553
Interval Spectrump5m5n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3191 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3643
Scale 3643, Ian Ring Music Theory
3rd mode:
Scale 3869
Scale 3869, Ian Ring Music Theory
4th mode:
Scale 1991
Scale 1991, Ian Ring Music Theory
5th mode:
Scale 3043
Scale 3043, Ian Ring Music Theory
6th mode:
Scale 3569
Scale 3569, Ian Ring Music Theory
7th mode:
Scale 479
Scale 479, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2287
Scale 2287, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479, Ian Ring Music Theory

Negative

The octatonic modal family [3191, 3643, 3869, 1991, 3043, 3569, 479, 2287] is the negative of the tetratonic modal family [71, 449, 2083, 3089]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3191 is 3527

Scale 3527Scale 3527, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3191 is chiral, and its enantiomorph is scale 3527

Scale 3527Scale 3527, 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 3189Scale 3189, Ian Ring Music Theory
Scale 3187Scale 3187, Ian Ring Music Theory
Scale 3195Scale 3195, Ian Ring Music Theory
Scale 3199Scale 3199, Ian Ring Music Theory
Scale 3175Scale 3175, Ian Ring Music Theory
Scale 3183Scale 3183, Ian Ring Music Theory
Scale 3159Scale 3159, Ian Ring Music Theory
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3255Scale 3255, Ian Ring Music Theory
Scale 3319Scale 3319, Ian Ring Music Theory
Scale 3447Scale 3447, Ian Ring Music Theory
Scale 3703Scale 3703, Ian Ring Music Theory
Scale 2167Scale 2167, Ian Ring Music Theory
Scale 2679Scale 2679, Ian Ring Music Theory
Scale 1143Scale 1143, 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