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Scale 3681

Scale 3681, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,5,6,9,10,11}
Forte Number6-5
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 207
Chiralityyes
enantiomorph: 207
Deep Scaleno
Interval Vector422232
Interval Spectrump3m2n2s2d4t2
Distribution Spectra<1> = {1,3,5}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {7,9,11}
Spectra Variation3.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3681 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 243
Scale 243, Ian Ring Music Theory
3rd mode:
Scale 2169
Scale 2169, Ian Ring Music Theory
4th mode:
Scale 783
Scale 783, Ian Ring Music Theory
5th mode:
Scale 2439
Scale 2439, Ian Ring Music Theory
6th mode:
Scale 3267
Scale 3267, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 207

Scale 207Scale 207, Ian Ring Music Theory

Negative

The hexatonic modal family [3681, 243, 2169, 783, 2439, 3267] is the negative of the hexatonic modal family [207, 963, 2151, 2529, 3123, 3609]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3681 is 207

Scale 207Scale 207, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3681 is chiral, and its enantiomorph is scale 207

Scale 207Scale 207, 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 3683Scale 3683, Ian Ring Music Theory
Scale 3685Scale 3685, Ian Ring Music Theory
Scale 3689Scale 3689, Ian Ring Music Theory
Scale 3697Scale 3697, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 3665Scale 3665, Ian Ring Music Theory
Scale 3617Scale 3617, Ian Ring Music Theory
Scale 3745Scale 3745, Ian Ring Music Theory
Scale 3809Scale 3809, Ian Ring Music Theory
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 3169Scale 3169, Ian Ring Music Theory
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 1633Scale 1633, 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