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The Exciting Universe Of Music Theory

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Scale 4047

Scale 4047, Ian Ring Music Theory
ii

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,1,2,3,6,7,8,9,10,11}
Forte Number10-1
Rotational Symmetrynone
Palindromicno
Hemitonia9 (multihemitonic)
Cohemitonia8 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1023
Chiralityno
Deep Scaleno
Interval Vector988884
Interval Spectrump8m8n8s8d9t4
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5}
<4> = {4,6}
<5> = {5,7}
<6> = {6,8}
<7> = {7,9}
<8> = {8,10}
<9> = {9,11}
Spectra Variation1.8
Myhill Propertyyes
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4047 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4071
Scale 4071, Ian Ring Music Theory
3rd mode:
Scale 4083
Scale 4083, Ian Ring Music Theory
4th mode:
Scale 4089
Scale 4089, Ian Ring Music Theory
5th mode:
Scale 1023
Scale 1023, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2559
Scale 2559, Ian Ring Music Theory
7th mode:
Scale 3327
Scale 3327, Ian Ring Music Theory
8th mode:
Scale 3711
Scale 3711, Ian Ring Music Theory
9th mode:
Scale 3903
Scale 3903, Ian Ring Music Theory
10th mode:
Scale 3999
Scale 3999, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1023

Scale 1023Scale 1023, Ian Ring Music Theory

Negative

The decatonic modal family [4047, 4071, 4083, 4089, 1023, 2559, 3327, 3711, 3903, 3999] is the negative of the modal family [3, 2049]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4047 is 3711

Scale 3711Scale 3711, 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 4045Scale 4045, Ian Ring Music Theory
Scale 4043Scale 4043, Ian Ring Music Theory
Scale 4039Scale 4039, Ian Ring Music Theory
Scale 4055Scale 4055, Ian Ring Music Theory
Scale 4063Scale 4063, Ian Ring Music Theory
Scale 4079Scale 4079, Ian Ring Music Theory
Scale 3983Scale 3983, Ian Ring Music Theory
Scale 4015Scale 4015, Ian Ring Music Theory
Scale 3919Scale 3919, Ian Ring Music Theory
Scale 3791Scale 3791, Ian Ring Music Theory
Scale 3535Scale 3535, Ian Ring Music Theory
Scale 3023Scale 3023, Ian Ring Music Theory
Scale 1999Scale 1999, 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