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Scale 2009

Scale 2009, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,3,4,6,7,8,9,10}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 893
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 2009 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 763		Scale 763, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2429		Scale 2429, Ian Ring Music Theory
4th mode:
Scale 1631		Scale 1631, Ian Ring Music Theory
5th mode:
Scale 2863		Scale 2863, Ian Ring Music Theory
6th mode:
Scale 3479		Scale 3479, Ian Ring Music Theory
7th mode:
Scale 3787		Scale 3787, Ian Ring Music Theory
8th mode:
Scale 3941		Scale 3941, 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 [2009, 763, 2429, 1631, 2863, 3479, 3787, 3941] 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 2009 is 893

Scale 893Scale 893, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2009 is chiral, and its enantiomorph is scale 893

Scale 893Scale 893, 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 2011Scale 2011, Ian Ring Music Theory
Scale 2013Scale 2013, Ian Ring Music Theory
Scale 2001Scale 2001, Ian Ring Music Theory
Scale 2005Scale 2005, Ian Ring Music Theory
Scale 1993Scale 1993, Ian Ring Music Theory
Scale 2025Scale 2025, Ian Ring Music Theory
Scale 2041Scale 2041, Ian Ring Music Theory
Scale 1945Scale 1945, Ian Ring Music Theory
Scale 1977Scale 1977, Ian Ring Music Theory
Scale 1881Scale 1881, Ian Ring Music Theory
Scale 1753Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 3033Scale 3033, Ian Ring Music Theory
Scale 4057Scale 4057, 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