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Scale 987

iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,6,7,8,9}
Forte Number8-18
Rotational Symmetrynone
Palindromicno
Interval Spectrump5m5n6s4d5t3
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Chiralityyes
enantiomorph: 2937
Deep Scaleno
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 987 can be rotated to make 7 other scales.

Scale 2541Algerian
Scale 1659Maqam Shadd'araban
Scale 2877
Scale 1743
Scale 2919
Scale 3507Maqam Hijaz
Scale 3801

Prime

The prime form of this scale is Scale 879

Scale 879

Negative

The octatonic modal family [987, 2541, 1659, 2877, 1743, 2919, 3507, 3801] is the negative of the tetratonic modal family [147, 609, 777, 2121, 3108]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 987 is 2937 

Scale 2937

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 987 is chiral, and its enantiomorph is scale 2937

Scale 2937

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 985Mela Sucaritra
Scale 989
Scale 991
Scale 979Mela Dhavalambari
Scale 983
Scale 971Mela Gavambodhi
Scale 1003
Scale 1019
Scale 923Ultraphrygian
Scale 955
Scale 859Ultralocrian
Scale 731
Scale 475
Scale 1499Bebop Locrian
Scale 2011
Scale 3035

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