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Scale 687

Scale 687, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,3,5,7,9}
Forte Number7-24
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?yes
Chiralityyes
enantiomorph: 3753
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 687 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2391
Scale 2391, Ian Ring Music Theory
3rd mode:
Scale 3243
Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
4th mode:
Scale 3669
Scale 3669, Ian Ring Music Theory
5th mode:
Scale 1941
Scale 1941, Ian Ring Music Theory
6th mode:
Scale 1509
Scale 1509, Ian Ring Music Theory
7th mode:
Scale 1401
Scale 1401, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Negative

The heptatonic modal family [687, 2391, 3243, 3669, 1941, 1509, 1401] is the negative of the pentatonic modal family [171, 1377, 1413, 1557, 2133]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 687 is 3753

Scale 3753Scale 3753, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 687 is chiral, and its enantiomorph is scale 3753

Scale 3753Scale 3753, 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 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 683Scale 683, Ian Ring Music Theory
Scale 679Scale 679, Ian Ring Music Theory
Scale 695Scale 695, Ian Ring Music Theory
Scale 703Scale 703, Ian Ring Music Theory
Scale 655Scale 655, Ian Ring Music Theory
Scale 671Scale 671, Ian Ring Music Theory
Scale 719Scale 719, Ian Ring Music Theory
Scale 751Scale 751, Ian Ring Music Theory
Scale 559Scale 559, Ian Ring Music Theory
Scale 623Scale 623, Ian Ring Music Theory
Scale 815Scale 815, Ian Ring Music Theory
Scale 943Scale 943, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 431Scale 431, Ian Ring Music Theory
Scale 1199Scale 1199, Ian Ring Music Theory
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 2735Scale 2735, 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