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Scale 3183

Scale 3183, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,5,6,10,11}
Forte Number8-4
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Chiralityyes
enantiomorph: 3783
Deep Scaleno
Interval Vector655552
Interval Spectrump5m5n5s5d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3183 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3639
Scale 3639, Ian Ring Music Theory
3rd mode:
Scale 3867
Scale 3867, Ian Ring Music Theory
4th mode:
Scale 3981
Scale 3981, Ian Ring Music Theory
5th mode:
Scale 2019
Scale 2019, Ian Ring Music Theory
6th mode:
Scale 3057
Scale 3057, Ian Ring Music Theory
7th mode:
Scale 447
Scale 447, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2271
Scale 2271, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447, Ian Ring Music Theory

Negative

The octatonic modal family [3183, 3639, 3867, 3981, 2019, 3057, 447, 2271] is the negative of the tetratonic modal family [39, 897, 2067, 3081]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3183 is 3783

Scale 3783Scale 3783, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3183 is chiral, and its enantiomorph is scale 3783

Scale 3783Scale 3783, 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 3181Scale 3181, Ian Ring Music Theory
Scale 3179Scale 3179, Ian Ring Music Theory
Scale 3175Scale 3175, Ian Ring Music Theory
Scale 3191Scale 3191, Ian Ring Music Theory
Scale 3199Scale 3199, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3167Scale 3167, Ian Ring Music Theory
Scale 3119Scale 3119, Ian Ring Music Theory
Scale 3247Scale 3247, Ian Ring Music Theory
Scale 3311Scale 3311, Ian Ring Music Theory
Scale 3439Scale 3439, Ian Ring Music Theory
Scale 3695Scale 3695, Ian Ring Music Theory
Scale 2159Scale 2159, Ian Ring Music Theory
Scale 2671Scale 2671, Ian Ring Music Theory
Scale 1135Scale 1135, 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