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Scale 609

Scale 609, Ian Ring Music Theory

i = imperfections

Tones4 (tetratonic)
Pitch Class Set{0,5,6,9}
Forte Number4-18
Rotational Symmetrynone
Palindromicno
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 147
Chiralityyes
enantiomorph: 201
Deep Scaleno
Interval Vector102111
Interval Spectrumpmn2dt
Distribution Spectra<1> = {1,3,5}
<2> = {4,6,8}
<3> = {7,9,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 609 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 147
Scale 147, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2121
Scale 2121, Ian Ring Music Theory
4th mode:
Scale 777
Scale 777, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 147

Scale 147Scale 147, Ian Ring Music Theory

Negative

The tetratonic modal family [609, 147, 2121, 777] is the negative of the octatonic modal family [879, 1779, 1947, 2487, 2937, 3021, 3291, 3693]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 609 is 201

Scale 201Scale 201, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 609 is chiral, and its enantiomorph is scale 201

Scale 201Scale 201, 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 611Scale 611, Ian Ring Music Theory
Scale 613Scale 613, Ian Ring Music Theory
Scale 617Scale 617, Ian Ring Music Theory
Scale 625Scale 625, Ian Ring Music Theory
Scale 577Scale 577, Ian Ring Music Theory
Scale 593Scale 593, Ian Ring Music Theory
Scale 545Scale 545, Ian Ring Music Theory
Scale 673Scale 673, Ian Ring Music Theory
Scale 737Scale 737, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 97Scale 97, Ian Ring Music Theory
Scale 353Scale 353, Ian Ring Music Theory
Scale 1121Scale 1121, Ian Ring Music Theory
Scale 1633Scale 1633, Ian Ring Music Theory
Scale 2657Scale 2657, 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