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Scale 3639

Scale 3639, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,4,5,9,10,11}
Forte Number8-4
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Chiralityyes
enantiomorph: 3471
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 3639 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3867
Scale 3867, Ian Ring Music Theory
3rd mode:
Scale 3981
Scale 3981, Ian Ring Music Theory
4th mode:
Scale 2019
Scale 2019, Ian Ring Music Theory
5th mode:
Scale 3057
Scale 3057, Ian Ring Music Theory
6th mode:
Scale 447
Scale 447, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2271
Scale 2271, Ian Ring Music Theory
8th mode:
Scale 3183
Scale 3183, 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 [3639, 3867, 3981, 2019, 3057, 447, 2271, 3183] 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 3639 is 3471

Scale 3471Scale 3471, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3639 is chiral, and its enantiomorph is scale 3471

Scale 3471Scale 3471, 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 3637Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 3635Scale 3635, Ian Ring Music Theory
Scale 3643Scale 3643, Ian Ring Music Theory
Scale 3647Scale 3647, Ian Ring Music Theory
Scale 3623Scale 3623, Ian Ring Music Theory
Scale 3631Scale 3631, Ian Ring Music Theory
Scale 3607Scale 3607, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 3703Scale 3703, Ian Ring Music Theory
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3895Scale 3895, Ian Ring Music Theory
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3383Scale 3383, Ian Ring Music Theory
Scale 2615Scale 2615, Ian Ring Music Theory
Scale 1591Scale 1591, 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