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Scale 415

Scale 415, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,3,4,7,8}
Forte Number7-6
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?yes
Chiralityyes
enantiomorph: 3889
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 415 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2255
Scale 2255, Ian Ring Music Theory
3rd mode:
Scale 3175
Scale 3175, Ian Ring Music Theory
4th mode:
Scale 3635
Scale 3635, Ian Ring Music Theory
5th mode:
Scale 3865
Scale 3865, Ian Ring Music Theory
6th mode:
Scale 995
Scale 995, Ian Ring Music Theory
7th mode:
Scale 2545
Scale 2545, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The heptatonic modal family [415, 2255, 3175, 3635, 3865, 995, 2545] is the negative of the pentatonic modal family [103, 899, 2099, 2497, 3097]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 415 is 3889

Scale 3889Scale 3889, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 415 is chiral, and its enantiomorph is scale 3889

Scale 3889Scale 3889, 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 413Scale 413, Ian Ring Music Theory
Scale 411Scale 411, Ian Ring Music Theory
Scale 407Scale 407, Ian Ring Music Theory
Scale 399Scale 399, Ian Ring Music Theory
Scale 431Scale 431, Ian Ring Music Theory
Scale 447Scale 447, Ian Ring Music Theory
Scale 479Scale 479, Ian Ring Music Theory
Scale 287Scale 287, Ian Ring Music Theory
Scale 351Scale 351, Ian Ring Music Theory
Scale 159Scale 159, Ian Ring Music Theory
Scale 671Scale 671, Ian Ring Music Theory
Scale 927Scale 927, Ian Ring Music Theory
Scale 1439Scale 1439, Ian Ring Music Theory
Scale 2463Scale 2463, 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