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Scale 3667

Scale 3667, Ian Ring Music Theory
iii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,4,6,9,10,11}
Forte Number7-Z12
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 671
Chiralityno
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {9,10,11}
Spectra Variation2.857
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3667 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3881
Scale 3881, Ian Ring Music Theory
3rd mode:
Scale 997
Scale 997, Ian Ring Music Theory
4th mode:
Scale 1273
Scale 1273, Ian Ring Music Theory
5th mode:
Scale 671
Scale 671, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2383
Scale 2383, Ian Ring Music Theory
7th mode:
Scale 3239
Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi

Prime

The prime form of this scale is Scale 671

Scale 671Scale 671, Ian Ring Music Theory

Negative

The heptatonic modal family [3667, 3881, 997, 1273, 671, 2383, 3239] is the negative of the pentatonic modal family [107, 1411, 1549, 2101, 2753]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3667 is 2383

Scale 2383Scale 2383, 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 3665Scale 3665, Ian Ring Music Theory
Scale 3669Scale 3669, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 3675Scale 3675, Ian Ring Music Theory
Scale 3651Scale 3651, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3683Scale 3683, Ian Ring Music Theory
Scale 3699Scale 3699, Ian Ring Music Theory
Scale 3603Scale 3603, Ian Ring Music Theory
Scale 3635Scale 3635, Ian Ring Music Theory
Scale 3731Scale 3731, Ian Ring Music Theory
Scale 3795Scale 3795, Ian Ring Music Theory
Scale 3923Scale 3923, Ian Ring Music Theory
Scale 3155Scale 3155, Ian Ring Music Theory
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan

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