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Scale 2045

Scale 2045, Ian Ring Music Theory

i = imperfections

Tones10 (decatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,9,10}
Forte Number10-2
Rotational Symmetrynone
Hemitonia8 (multihemitonic)
Cohemitonia7 (multicohemitonic)
prime: 1535
Deep Scaleno
Interval Vector898884
Interval Spectrump8m8n8s9d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {7,8,9}
<8> = {8,9,10}
<9> = {10,11}
Spectra Variation1.6
Myhill Propertyno


Modes are the rotational transformation of this scale. Scale 2045 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1535
Scale 1535, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2815
Scale 2815, Ian Ring Music Theory
4th mode:
Scale 3455
Scale 3455, Ian Ring Music Theory
5th mode:
Scale 3775
Scale 3775, Ian Ring Music Theory
6th mode:
Scale 3935
Scale 3935, Ian Ring Music Theory
7th mode:
Scale 4015
Scale 4015, Ian Ring Music Theory
8th mode:
Scale 4055
Scale 4055, Ian Ring Music Theory
9th mode:
Scale 4075
Scale 4075, Ian Ring Music Theory
10th mode:
Scale 4085
Scale 4085, Ian Ring Music Theory


The prime form of this scale is Scale 1535

Scale 1535Scale 1535, Ian Ring Music Theory


The decatonic modal family [2045, 1535, 2815, 3455, 3775, 3935, 4015, 4055, 4075, 4085] is the negative of the modal family [5, 1025]


The inverse of a scale is a reflection using the root as its axis. The inverse of 2045 is itself, because it is a palindromic scale!

Scale 2045Scale 2045, 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 2047Scale 2047, Ian Ring Music Theory
Scale 2041Scale 2041, Ian Ring Music Theory
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 2037Scale 2037, Ian Ring Music Theory
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 2013Scale 2013, Ian Ring Music Theory
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini
Scale 1917Scale 1917, Ian Ring Music Theory
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
Scale 1533Scale 1533, Ian Ring Music Theory
Scale 1021Scale 1021, Ian Ring Music Theory
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 4093Scale 4093, 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