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Scale 2457: "Major Augmented"

Also known as: Messiaen truncated mode 3 inverse, Genus Tertium, Raga Devamani, Augmented

Scale 2457: Major Augmented, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,3,4,7,8,11}
Forte Number6-20
Rotational Symmetry4, 8 semitones
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes1
Prime?no
prime: 819
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 2457 can be rotated to make 1 other scales. The 1st mode is itself.

2nd mode:
Scale 819
Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented InverseThis is the prime mode

Prime

The prime form of this scale is Scale 819

Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse

Negative

The hexatonic modal family [2457, 819] 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 2457 is 819

Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse

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 2459Scale 2459, Ian Ring Music Theory
Scale 2461Scale 2461, Ian Ring Music Theory
Scale 2449Scale 2449, Ian Ring Music Theory
Scale 2453Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
Scale 2441Scale 2441, Ian Ring Music Theory
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 2489Scale 2489: Mela Gangeyabhusani, Ian Ring Music TheoryMela Gangeyabhusani
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani
Scale 2329Scale 2329, Ian Ring Music Theory
Scale 2393Scale 2393, Ian Ring Music Theory
Scale 2201Scale 2201, Ian Ring Music Theory
Scale 2713Scale 2713, Ian Ring Music Theory
Scale 2969Scale 2969, Ian Ring Music Theory
Scale 3481Scale 3481, Ian Ring Music Theory
Scale 409Scale 409, Ian Ring Music Theory
Scale 1433Scale 1433, 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