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The Exciting Universe Of Music Theory

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Scale 1631

Scale 1631, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,4,6,9,10}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 3917
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1631 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2863
Scale 2863, Ian Ring Music Theory
3rd mode:
Scale 3479
Scale 3479, Ian Ring Music Theory
4th mode:
Scale 3787
Scale 3787, Ian Ring Music Theory
5th mode:
Scale 3941
Scale 3941, Ian Ring Music Theory
6th mode:
Scale 2009
Scale 2009, Ian Ring Music Theory
7th mode:
Scale 763
Scale 763, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2429
Scale 2429, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763, Ian Ring Music Theory

Negative

The octatonic modal family [1631, 2863, 3479, 3787, 3941, 2009, 763, 2429] is the negative of the tetratonic modal family [77, 833, 1043, 2569]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1631 is 3917

Scale 3917Scale 3917, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1631 is chiral, and its enantiomorph is scale 3917

Scale 3917Scale 3917, 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 1629Scale 1629, Ian Ring Music Theory
Scale 1627Scale 1627, Ian Ring Music Theory
Scale 1623Scale 1623, Ian Ring Music Theory
Scale 1615Scale 1615, Ian Ring Music Theory
Scale 1647Scale 1647, Ian Ring Music Theory
Scale 1663Scale 1663, Ian Ring Music Theory
Scale 1567Scale 1567, Ian Ring Music Theory
Scale 1599Scale 1599, Ian Ring Music Theory
Scale 1695Scale 1695, Ian Ring Music Theory
Scale 1759Scale 1759, Ian Ring Music Theory
Scale 1887Scale 1887, Ian Ring Music Theory
Scale 1119Scale 1119, Ian Ring Music Theory
Scale 1375Scale 1375, Ian Ring Music Theory
Scale 607Scale 607, Ian Ring Music Theory
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 3679Scale 3679, 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