Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 1687

Scale 1687, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,4,7,9,10}
Forte Number7-25
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 733
Chiralityyes
enantiomorph: 3373
Deep Scaleno
Interval Vector345342
Interval Spectrump4m3n5s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1687 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2891
Scale 2891, Ian Ring Music Theory
3rd mode:
Scale 3493
Scale 3493, Ian Ring Music Theory
4th mode:
Scale 1897
Scale 1897, Ian Ring Music Theory
5th mode:
Scale 749
Scale 749, Ian Ring Music Theory
6th mode:
Scale 1211
Scale 1211, Ian Ring Music Theory
7th mode:
Scale 2653
Scale 2653, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 733

Scale 733Scale 733, Ian Ring Music Theory

Negative

The heptatonic modal family [1687, 2891, 3493, 1897, 749, 1211, 2653] is the negative of the pentatonic modal family [301, 721, 1099, 1673, 2597]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1687 is 3373

Scale 3373Scale 3373, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1687 is chiral, and its enantiomorph is scale 3373

Scale 3373Scale 3373, 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 1685Scale 1685, Ian Ring Music Theory
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1691Scale 1691, Ian Ring Music Theory
Scale 1695Scale 1695, Ian Ring Music Theory
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 1679Scale 1679, Ian Ring Music Theory
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1719Scale 1719, Ian Ring Music Theory
Scale 1751Scale 1751, Ian Ring Music Theory
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1623Scale 1623, Ian Ring Music Theory
Scale 1815Scale 1815, Ian Ring Music Theory
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 1175Scale 1175, Ian Ring Music Theory
Scale 1431Scale 1431, Ian Ring Music Theory
Scale 663Scale 663, Ian Ring Music Theory
Scale 2711Scale 2711, Ian Ring Music Theory
Scale 3735Scale 3735, 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