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The Exciting Universe Of Music Theory

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Scale 2003

Scale 2003, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,4,6,7,8,9,10}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 2429
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 2003 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3049
Scale 3049, Ian Ring Music Theory
3rd mode:
Scale 893
Scale 893, Ian Ring Music Theory
4th mode:
Scale 1247
Scale 1247, Ian Ring Music Theory
5th mode:
Scale 2671
Scale 2671, Ian Ring Music Theory
6th mode:
Scale 3383
Scale 3383, Ian Ring Music Theory
7th mode:
Scale 3739
Scale 3739, Ian Ring Music Theory
8th mode:
Scale 3917
Scale 3917, 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 [2003, 3049, 893, 1247, 2671, 3383, 3739, 3917] 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 2003 is 2429

Scale 2429Scale 2429, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2003 is chiral, and its enantiomorph is scale 2429

Scale 2429Scale 2429, 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 2001Scale 2001, Ian Ring Music Theory
Scale 2005Scale 2005, Ian Ring Music Theory
Scale 2007Scale 2007, Ian Ring Music Theory
Scale 2011Scale 2011, Ian Ring Music Theory
Scale 1987Scale 1987, Ian Ring Music Theory
Scale 1995Scale 1995, Ian Ring Music Theory
Scale 2019Scale 2019, Ian Ring Music Theory
Scale 2035Scale 2035, Ian Ring Music Theory
Scale 1939Scale 1939, Ian Ring Music Theory
Scale 1971Scale 1971, Ian Ring Music Theory
Scale 1875Scale 1875, Ian Ring Music Theory
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 979Scale 979: Mela Dhavalambari, Ian Ring Music TheoryMela Dhavalambari
Scale 3027Scale 3027, Ian Ring Music Theory
Scale 4051Scale 4051, 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