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Scale 819: "Augmented Inverse"

Also known as: Messiaen truncated mode 3, Prometheus (Liszt), Six Tone Symmetrical

Scale 819: Augmented Inverse, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,4,5,8,9}
Forte Number6-20
Rotational Symmetry4, 8 semitones
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes1
Prime?yes
Chiralityno
Deep Scaleno
Interval Vector303630
Interval Spectrump3m6n3d3
Distribution Spectra<1> = {1,3}
<2> = {4}
<3> = {5,7}
<4> = {8}
<5> = {9,11}
Spectra Variation1
Myhill Propertyno
Balancedyes
Coherenceyes
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 819 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 2457
Scale 2457: Major Augmented, Ian Ring Music TheoryMajor Augmented

Prime

This is the prime form of this scale.

Negative

The hexatonic modal family [819, 2457] is the negative of the hexatonic modal family [819, 2457]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 819 is 2457

Scale 2457Scale 2457: Major Augmented, Ian Ring Music TheoryMajor Augmented

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 817Scale 817, Ian Ring Music Theory
Scale 821Scale 821, Ian Ring Music Theory
Scale 823Scale 823, Ian Ring Music Theory
Scale 827Scale 827, Ian Ring Music Theory
Scale 803Scale 803, Ian Ring Music Theory
Scale 811Scale 811, Ian Ring Music Theory
Scale 787Scale 787, Ian Ring Music Theory
Scale 851Scale 851: Raga Hejjajji, Ian Ring Music TheoryRaga Hejjajji
Scale 883Scale 883, Ian Ring Music Theory
Scale 947Scale 947: Mela Gayakapriya, Ian Ring Music TheoryMela Gayakapriya
Scale 563Scale 563, Ian Ring Music Theory
Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1843Scale 1843, Ian Ring Music Theory
Scale 2867Scale 2867, 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