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Scale 4057

Scale 4057, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,3,4,6,7,8,9,10,11}
Forte Number9-3
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Chiralityyes
enantiomorph: 895
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 4057 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1019
Scale 1019, Ian Ring Music Theory
3rd mode:
Scale 2557
Scale 2557, Ian Ring Music Theory
4th mode:
Scale 1663
Scale 1663, Ian Ring Music Theory
5th mode:
Scale 2879
Scale 2879, Ian Ring Music Theory
6th mode:
Scale 3487
Scale 3487, Ian Ring Music Theory
7th mode:
Scale 3791
Scale 3791, Ian Ring Music Theory
8th mode:
Scale 3943
Scale 3943, Ian Ring Music Theory
9th mode:
Scale 4019
Scale 4019, 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 [4057, 1019, 2557, 1663, 2879, 3487, 3791, 3943, 4019] 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 4057 is 895

Scale 895Scale 895, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 4057 is chiral, and its enantiomorph is scale 895

Scale 895Scale 895, 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 4059Scale 4059, Ian Ring Music Theory
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 4049Scale 4049, Ian Ring Music Theory
Scale 4053Scale 4053, Ian Ring Music Theory
Scale 4041Scale 4041, Ian Ring Music Theory
Scale 4073Scale 4073, Ian Ring Music Theory
Scale 4089Scale 4089, Ian Ring Music Theory
Scale 3993Scale 3993, Ian Ring Music Theory
Scale 4025Scale 4025, Ian Ring Music Theory
Scale 3929Scale 3929, Ian Ring Music Theory
Scale 3801Scale 3801, Ian Ring Music Theory
Scale 3545Scale 3545, Ian Ring Music Theory
Scale 3033Scale 3033, Ian Ring Music Theory
Scale 2009Scale 2009, 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