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Scale 3661

Scale 3661, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,2,3,6,9,10,11}
Forte Number7-16
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Chiralityyes
enantiomorph: 1615
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3661 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1939
Scale 1939, Ian Ring Music Theory
3rd mode:
Scale 3017
Scale 3017, Ian Ring Music Theory
4th mode:
Scale 889
Scale 889, Ian Ring Music Theory
5th mode:
Scale 623
Scale 623, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2359
Scale 2359, Ian Ring Music Theory
7th mode:
Scale 3227
Scale 3227, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623, Ian Ring Music Theory

Negative

The heptatonic modal family [3661, 1939, 3017, 889, 623, 2359, 3227] is the negative of the pentatonic modal family [155, 865, 1555, 2125, 2825]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3661 is 1615

Scale 1615Scale 1615, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3661 is chiral, and its enantiomorph is scale 1615

Scale 1615Scale 1615, 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 3663Scale 3663, Ian Ring Music Theory
Scale 3657Scale 3657, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3653Scale 3653, Ian Ring Music Theory
Scale 3669Scale 3669, Ian Ring Music Theory
Scale 3677Scale 3677, Ian Ring Music Theory
Scale 3693Scale 3693, Ian Ring Music Theory
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3629Scale 3629, Ian Ring Music Theory
Scale 3725Scale 3725, Ian Ring Music Theory
Scale 3789Scale 3789, Ian Ring Music Theory
Scale 3917Scale 3917, Ian Ring Music Theory
Scale 3149Scale 3149, Ian Ring Music Theory
Scale 3405Scale 3405, Ian Ring Music Theory
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 1613Scale 1613, 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