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Scale 3945

Scale 3945, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,3,5,6,8,9,10,11}
Forte Number8-13
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 735
Chiralityyes
enantiomorph: 735
Deep Scaleno
Interval Vector556453
Interval Spectrump5m4n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3945 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1005
Scale 1005, Ian Ring Music Theory
3rd mode:
Scale 1275
Scale 1275, Ian Ring Music Theory
4th mode:
Scale 2685
Scale 2685, Ian Ring Music Theory
5th mode:
Scale 1695
Scale 1695, Ian Ring Music Theory
6th mode:
Scale 2895
Scale 2895, Ian Ring Music Theory
7th mode:
Scale 3495
Scale 3495, Ian Ring Music Theory
8th mode:
Scale 3795
Scale 3795, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735, Ian Ring Music Theory

Negative

The octatonic modal family [3945, 1005, 1275, 2685, 1695, 2895, 3495, 3795] is the negative of the tetratonic modal family [75, 705, 1545, 2085]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3945 is 735

Scale 735Scale 735, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3945 is chiral, and its enantiomorph is scale 735

Scale 735Scale 735, 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 3947Scale 3947, Ian Ring Music Theory
Scale 3949Scale 3949, Ian Ring Music Theory
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 3941Scale 3941, Ian Ring Music Theory
Scale 3953Scale 3953, Ian Ring Music Theory
Scale 3961Scale 3961, Ian Ring Music Theory
Scale 3913Scale 3913, Ian Ring Music Theory
Scale 3929Scale 3929, Ian Ring Music Theory
Scale 3881Scale 3881, Ian Ring Music Theory
Scale 4009Scale 4009, Ian Ring Music Theory
Scale 4073Scale 4073, Ian Ring Music Theory
Scale 3689Scale 3689, Ian Ring Music Theory
Scale 3817Scale 3817, Ian Ring Music Theory
Scale 3433Scale 3433, Ian Ring Music Theory
Scale 2921Scale 2921, Ian Ring Music Theory
Scale 1897Scale 1897, 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