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Scale 3663

Scale 3663, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,6,9,10,11}
Forte Number8-3
Rotational Symmetrynone
Palindromicyes
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 639
Chiralityno
Deep Scaleno
Interval Vector656542
Interval Spectrump4m5n6s5d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {6,8,10}
<7> = {9,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3663 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3879
Scale 3879, Ian Ring Music Theory
3rd mode:
Scale 3987
Scale 3987, Ian Ring Music Theory
4th mode:
Scale 4041
Scale 4041, Ian Ring Music Theory
5th mode:
Scale 1017
Scale 1017, Ian Ring Music Theory
6th mode:
Scale 639
Scale 639, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2367
Scale 2367, Ian Ring Music Theory
8th mode:
Scale 3231
Scale 3231, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 639

Scale 639Scale 639, Ian Ring Music Theory

Negative

The octatonic modal family [3663, 3879, 3987, 4041, 1017, 639, 2367, 3231] is the negative of the tetratonic modal family [27, 1539, 2061, 2817]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3663 is itself, because it is a palindromic scale!

Scale 3663Scale 3663, 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 3661Scale 3661, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3655Scale 3655, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 3679Scale 3679, Ian Ring Music Theory
Scale 3695Scale 3695, Ian Ring Music Theory
Scale 3599Scale 3599, Ian Ring Music Theory
Scale 3631Scale 3631, Ian Ring Music Theory
Scale 3727Scale 3727, Ian Ring Music Theory
Scale 3791Scale 3791, Ian Ring Music Theory
Scale 3919Scale 3919, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3407Scale 3407, Ian Ring Music Theory
Scale 2639Scale 2639, Ian Ring Music Theory
Scale 1615Scale 1615, 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