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Scale 3687

Scale 3687, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,5,6,9,10,11}
Forte Number8-7
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 831
Chiralityno
Deep Scaleno
Interval Vector645652
Interval Spectrump5m6n5s4d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation2.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3687 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3891
Scale 3891, Ian Ring Music Theory
3rd mode:
Scale 3993
Scale 3993, Ian Ring Music Theory
4th mode:
Scale 1011
Scale 1011, Ian Ring Music Theory
5th mode:
Scale 2553
Scale 2553, Ian Ring Music Theory
6th mode:
Scale 831
Scale 831, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2463
Scale 2463, Ian Ring Music Theory
8th mode:
Scale 3279
Scale 3279, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 831

Scale 831Scale 831, Ian Ring Music Theory

Negative

The octatonic modal family [3687, 3891, 3993, 1011, 2553, 831, 2463, 3279] is the negative of the tetratonic modal family [51, 771, 2073, 2433]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3687 is 3279

Scale 3279Scale 3279, 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 3685Scale 3685, Ian Ring Music Theory
Scale 3683Scale 3683, Ian Ring Music Theory
Scale 3691Scale 3691, Ian Ring Music Theory
Scale 3695Scale 3695, Ian Ring Music Theory
Scale 3703Scale 3703, Ian Ring Music Theory
Scale 3655Scale 3655, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 3623Scale 3623, Ian Ring Music Theory
Scale 3751Scale 3751, Ian Ring Music Theory
Scale 3815Scale 3815, Ian Ring Music Theory
Scale 3943Scale 3943, Ian Ring Music Theory
Scale 3175Scale 3175, Ian Ring Music Theory
Scale 3431Scale 3431, Ian Ring Music Theory
Scale 2663Scale 2663, Ian Ring Music Theory
Scale 1639Scale 1639, 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