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The Exciting Universe Of Music Theory

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Scale 313

Scale 313, Ian Ring Music Theory
iii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,3,4,5,8}
Forte Number5-Z37
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector212320
Interval Spectrump2m3n2sd2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 313 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 551
Scale 551, Ian Ring Music Theory
3rd mode:
Scale 2323
Scale 2323, Ian Ring Music Theory
4th mode:
Scale 3209
Scale 3209, Ian Ring Music Theory
5th mode:
Scale 913
Scale 913, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The pentatonic modal family [313, 551, 2323, 3209, 913] is the negative of the heptatonic modal family [443, 1591, 1891, 2269, 2843, 2993, 3469]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 313 is 913

Scale 913Scale 913, 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 315Scale 315, Ian Ring Music Theory
Scale 317Scale 317, Ian Ring Music Theory
Scale 305Scale 305, Ian Ring Music Theory
Scale 309Scale 309, Ian Ring Music Theory
Scale 297Scale 297, Ian Ring Music Theory
Scale 281Scale 281, Ian Ring Music Theory
Scale 345Scale 345, Ian Ring Music Theory
Scale 377Scale 377, Ian Ring Music Theory
Scale 441Scale 441, Ian Ring Music Theory
Scale 57Scale 57, Ian Ring Music Theory
Scale 185Scale 185, Ian Ring Music Theory
Scale 569Scale 569, Ian Ring Music Theory
Scale 825Scale 825, Ian Ring Music Theory
Scale 1337Scale 1337, Ian Ring Music Theory
Scale 2361Scale 2361, 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