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Scale 3787

Scale 3787, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,6,7,9,10,11}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 2671
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<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 3787 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3941
Scale 3941, Ian Ring Music Theory
3rd mode:
Scale 2009
Scale 2009, Ian Ring Music Theory
4th mode:
Scale 763
Scale 763, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2429
Scale 2429, Ian Ring Music Theory
6th mode:
Scale 1631
Scale 1631, Ian Ring Music Theory
7th mode:
Scale 2863
Scale 2863, Ian Ring Music Theory
8th mode:
Scale 3479
Scale 3479, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763, Ian Ring Music Theory

Negative

The octatonic modal family [3787, 3941, 2009, 763, 2429, 1631, 2863, 3479] is the negative of the tetratonic modal family [77, 833, 1043, 2569]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3787 is 2671

Scale 2671Scale 2671, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3787 is chiral, and its enantiomorph is scale 2671

Scale 2671Scale 2671, 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 3785Scale 3785, Ian Ring Music Theory
Scale 3789Scale 3789, Ian Ring Music Theory
Scale 3791Scale 3791, Ian Ring Music Theory
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 3783Scale 3783, Ian Ring Music Theory
Scale 3795Scale 3795, Ian Ring Music Theory
Scale 3803Scale 3803, Ian Ring Music Theory
Scale 3819Scale 3819, Ian Ring Music Theory
Scale 3723Scale 3723, Ian Ring Music Theory
Scale 3755Scale 3755, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 4043Scale 4043, Ian Ring Music Theory
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini

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