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Scale 2847

Scale 2847, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,4,8,9,11}
Forte Number8-4
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Chiralityyes
enantiomorph: 3867
Deep Scaleno
Interval Vector655552
Interval Spectrump5m5n5s5d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation3
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2847 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3471
Scale 3471, Ian Ring Music Theory
3rd mode:
Scale 3783
Scale 3783, Ian Ring Music Theory
4th mode:
Scale 3939
Scale 3939, Ian Ring Music Theory
5th mode:
Scale 4017
Scale 4017, Ian Ring Music Theory
6th mode:
Scale 507
Scale 507, Ian Ring Music Theory
7th mode:
Scale 2301
Scale 2301, Ian Ring Music Theory
8th mode:
Scale 1599
Scale 1599, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447, Ian Ring Music Theory

Negative

The octatonic modal family [2847, 3471, 3783, 3939, 4017, 507, 2301, 1599] is the negative of the tetratonic modal family [39, 897, 2067, 3081]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2847 is 3867

Scale 3867Scale 3867, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2847 is chiral, and its enantiomorph is scale 3867

Scale 3867Scale 3867, 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 2845Scale 2845, Ian Ring Music Theory
Scale 2843Scale 2843, Ian Ring Music Theory
Scale 2839Scale 2839, Ian Ring Music Theory
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2863Scale 2863, Ian Ring Music Theory
Scale 2879Scale 2879, Ian Ring Music Theory
Scale 2911Scale 2911, Ian Ring Music Theory
Scale 2975Scale 2975, Ian Ring Music Theory
Scale 2591Scale 2591, Ian Ring Music Theory
Scale 2719Scale 2719, Ian Ring Music Theory
Scale 2335Scale 2335, Ian Ring Music Theory
Scale 3359Scale 3359, Ian Ring Music Theory
Scale 3871Scale 3871, Ian Ring Music Theory
Scale 799Scale 799, Ian Ring Music Theory
Scale 1823Scale 1823, 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