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The Exciting Universe Of Music Theory

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Scale 2013

Scale 2013, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,6,7,8,9,10}
Forte Number9-8
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Chiralityyes
enantiomorph: 1917
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2013 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1527
Scale 1527, Ian Ring Music Theory
3rd mode:
Scale 2811
Scale 2811, Ian Ring Music Theory
4th mode:
Scale 3453
Scale 3453, Ian Ring Music Theory
5th mode:
Scale 1887
Scale 1887, Ian Ring Music Theory
6th mode:
Scale 2991
Scale 2991, Ian Ring Music Theory
7th mode:
Scale 3543
Scale 3543, Ian Ring Music Theory
8th mode:
Scale 3819
Scale 3819, Ian Ring Music Theory
9th mode:
Scale 3957
Scale 3957, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503, Ian Ring Music Theory

Negative

The nonatonic modal family [2013, 1527, 2811, 3453, 1887, 2991, 3543, 3819, 3957] is the negative of the tritonic modal family [69, 321, 1041]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2013 is 1917

Scale 1917Scale 1917, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2013 is chiral, and its enantiomorph is scale 1917

Scale 1917Scale 1917, 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 2015Scale 2015: Messiaen mode 7, Ian Ring Music TheoryMessiaen mode 7
Scale 2009Scale 2009, Ian Ring Music Theory
Scale 2011Scale 2011, Ian Ring Music Theory
Scale 2005Scale 2005, Ian Ring Music Theory
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 2045Scale 2045, Ian Ring Music Theory
Scale 1949Scale 1949, Ian Ring Music Theory
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini
Scale 1885Scale 1885, Ian Ring Music Theory
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1501Scale 1501, Ian Ring Music Theory
Scale 989Scale 989, Ian Ring Music Theory
Scale 3037Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale
Scale 4061Scale 4061, 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