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Scale 1003

Scale 1003, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,5,6,7,8,9}
Forte Number8-Z15
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 863
Chiralityyes
enantiomorph: 2809
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1003 can be rotated to make 7 other scales.

Scale 2549Scale 2549, Ian Ring Music Theory
Scale 1661Scale 1661, Ian Ring Music Theory
Scale 1439Scale 1439, Ian Ring Music Theory
Scale 2767Scale 2767, Ian Ring Music Theory
Scale 3431Scale 3431, Ian Ring Music Theory
Scale 3763Scale 3763, Ian Ring Music Theory
Scale 3929Scale 3929, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 863

Scale 863Scale 863, Ian Ring Music Theory

Negative

The octatonic modal family [1003, 2549, 1661, 1439, 2767, 3431, 3763, 3929] is the negative of the tetratonic modal family [83, 773, 1217, 2089, 3092]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1003 is 2809 

Scale 2809Scale 2809, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1003 is chiral, and its enantiomorph is scale 2809

Scale 2809Scale 2809, 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 1001Scale 1001, Ian Ring Music Theory
Scale 1005Scale 1005, Ian Ring Music Theory
Scale 1007Scale 1007, Ian Ring Music Theory
Scale 995Scale 995, Ian Ring Music Theory
Scale 999Scale 999, Ian Ring Music Theory
Scale 1011Scale 1011, Ian Ring Music Theory
Scale 1019Scale 1019, Ian Ring Music Theory
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 987Scale 987, Ian Ring Music Theory
Scale 939Scale 939: Mela Senavati, Ian Ring Music TheoryMela Senavati
Scale 875Scale 875: Locrian Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 7
Scale 747Scale 747, Ian Ring Music Theory
Scale 491Scale 491, Ian Ring Music Theory
Scale 1515Scale 1515: Phrygian/Locrian mixed, Ian Ring Music TheoryPhrygian/Locrian mixed
Scale 2027Scale 2027, Ian Ring Music Theory
Scale 3051Scale 3051, 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