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Scale 4045

Scale 4045, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,6,7,8,9,10,11}
Forte Number9-3
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Chiralityyes
enantiomorph: 1663
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4045 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2035
Scale 2035, Ian Ring Music Theory
3rd mode:
Scale 3065
Scale 3065, Ian Ring Music Theory
4th mode:
Scale 895
Scale 895, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2495
Scale 2495, Ian Ring Music Theory
6th mode:
Scale 3295
Scale 3295, Ian Ring Music Theory
7th mode:
Scale 3695
Scale 3695, Ian Ring Music Theory
8th mode:
Scale 3895
Scale 3895, Ian Ring Music Theory
9th mode:
Scale 3995
Scale 3995, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895, Ian Ring Music Theory

Negative

The nonatonic modal family [4045, 2035, 3065, 895, 2495, 3295, 3695, 3895, 3995] is the negative of the tritonic modal family [19, 769, 2057]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4045 is 1663

Scale 1663Scale 1663, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4045 is chiral, and its enantiomorph is scale 1663

Scale 1663Scale 1663, 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 4047Scale 4047, Ian Ring Music Theory
Scale 4041Scale 4041, Ian Ring Music Theory
Scale 4043Scale 4043, Ian Ring Music Theory
Scale 4037Scale 4037, Ian Ring Music Theory
Scale 4053Scale 4053, Ian Ring Music Theory
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 4077Scale 4077, Ian Ring Music Theory
Scale 3981Scale 3981, Ian Ring Music Theory
Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
Scale 3917Scale 3917, Ian Ring Music Theory
Scale 3789Scale 3789, Ian Ring Music Theory
Scale 3533Scale 3533, Ian Ring Music Theory
Scale 3021Scale 3021, Ian Ring Music Theory
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani

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