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Scale 4089

Scale 4089, Ian Ring Music Theory
ii

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,3,4,5,6,7,8,9,10,11}
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 4089 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1023
Scale 1023, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2559
Scale 2559, Ian Ring Music Theory
4th mode:
Scale 3327
Scale 3327, Ian Ring Music Theory
5th mode:
Scale 3711
Scale 3711, Ian Ring Music Theory
6th mode:
Scale 3903
Scale 3903, Ian Ring Music Theory
7th mode:
Scale 3999
Scale 3999, Ian Ring Music Theory
8th mode:
Scale 4047
Scale 4047, Ian Ring Music Theory
9th mode:
Scale 4071
Scale 4071, Ian Ring Music Theory
10th mode:
Scale 4083
Scale 4083, 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 [4089, 1023, 2559, 3327, 3711, 3903, 3999, 4047, 4071, 4083] 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 4089 is 1023

Scale 1023Scale 1023, 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 4091Scale 4091, Ian Ring Music Theory
Scale 4093Scale 4093, Ian Ring Music Theory
Scale 4081Scale 4081, Ian Ring Music Theory
Scale 4085Scale 4085, Ian Ring Music Theory
Scale 4073Scale 4073, Ian Ring Music Theory
Scale 4057Scale 4057, Ian Ring Music Theory
Scale 4025Scale 4025, Ian Ring Music Theory
Scale 3961Scale 3961, Ian Ring Music Theory
Scale 3833Scale 3833, Ian Ring Music Theory
Scale 3577Scale 3577, Ian Ring Music Theory
Scale 3065Scale 3065, Ian Ring Music Theory
Scale 2041Scale 2041, 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