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Scale 887

Scale 887, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,4,5,6,8,9}
Forte Number8-19
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?yes
Chiralityyes
enantiomorph: 3545
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 887 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2491
Scale 2491, Ian Ring Music Theory
3rd mode:
Scale 3293
Scale 3293, Ian Ring Music Theory
4th mode:
Scale 1847
Scale 1847, Ian Ring Music Theory
5th mode:
Scale 2971
Scale 2971, Ian Ring Music Theory
6th mode:
Scale 3533
Scale 3533, Ian Ring Music Theory
7th mode:
Scale 1907
Scale 1907, Ian Ring Music Theory
8th mode:
Scale 3001
Scale 3001, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The octatonic modal family [887, 2491, 3293, 1847, 2971, 3533, 1907, 3001] is the negative of the tetratonic modal family [275, 305, 785, 2185]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 887 is 3545

Scale 3545Scale 3545, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 887 is chiral, and its enantiomorph is scale 3545

Scale 3545Scale 3545, 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 885Scale 885, Ian Ring Music Theory
Scale 883Scale 883, Ian Ring Music Theory
Scale 891Scale 891, Ian Ring Music Theory
Scale 895Scale 895, Ian Ring Music Theory
Scale 871Scale 871: Locrian Double-flat 3 Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 3 Double-flat 7
Scale 879Scale 879, Ian Ring Music Theory
Scale 855Scale 855, Ian Ring Music Theory
Scale 823Scale 823, Ian Ring Music Theory
Scale 951Scale 951, Ian Ring Music Theory
Scale 1015Scale 1015, Ian Ring Music Theory
Scale 631Scale 631, Ian Ring Music Theory
Scale 759Scale 759, Ian Ring Music Theory
Scale 375Scale 375, Ian Ring Music Theory
Scale 1399Scale 1399, Ian Ring Music Theory
Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3
Scale 2935Scale 2935, 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