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Scale 987

Scale 987, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,4,6,7,8,9}
Forte Number8-18
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 879
Chiralityyes
enantiomorph: 2937
Deep Scaleno
Interval Vector546553
Interval Spectrump5m5n6s4d5t3
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. The 1st mode is itself.

2nd mode:
Scale 2541
Scale 2541: Algerian, Ian Ring Music TheoryAlgerian
3rd mode:
Scale 1659
Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
4th mode:
Scale 2877
Scale 2877, Ian Ring Music Theory
5th mode:
Scale 1743
Scale 1743, Ian Ring Music Theory
6th mode:
Scale 2919
Scale 2919, Ian Ring Music Theory
7th mode:
Scale 3507
Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
8th mode:
Scale 3801
Scale 3801, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 879

Scale 879Scale 879, Ian Ring Music Theory

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]

Inverse

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

Scale 2937Scale 2937, Ian Ring Music Theory

Enantiomorph

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

Scale 2937Scale 2937, 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 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 989Scale 989, Ian Ring Music Theory
Scale 991Scale 991, Ian Ring Music Theory
Scale 979Scale 979: Mela Dhavalambari, Ian Ring Music TheoryMela Dhavalambari
Scale 983Scale 983, Ian Ring Music Theory
Scale 971Scale 971: Mela Gavambodhi, Ian Ring Music TheoryMela Gavambodhi
Scale 1003Scale 1003, Ian Ring Music Theory
Scale 1019Scale 1019, Ian Ring Music Theory
Scale 923Scale 923: Ultraphrygian, Ian Ring Music TheoryUltraphrygian
Scale 955Scale 955, Ian Ring Music Theory
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 731Scale 731, Ian Ring Music Theory
Scale 475Scale 475, Ian Ring Music Theory
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
Scale 2011Scale 2011, Ian Ring Music Theory
Scale 3035Scale 3035, 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