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Scale 2167

Scale 2167, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,1,2,4,5,6,11}
Forte Number7-5
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Chiralityyes
enantiomorph: 3523
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2167 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3131
Scale 3131, Ian Ring Music Theory
3rd mode:
Scale 3613
Scale 3613, Ian Ring Music Theory
4th mode:
Scale 1927
Scale 1927, Ian Ring Music Theory
5th mode:
Scale 3011
Scale 3011, Ian Ring Music Theory
6th mode:
Scale 3553
Scale 3553, Ian Ring Music Theory
7th mode:
Scale 239
Scale 239, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Negative

The heptatonic modal family [2167, 3131, 3613, 1927, 3011, 3553, 239] is the negative of the pentatonic modal family [143, 481, 2119, 3107, 3601]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2167 is 3523

Scale 3523Scale 3523, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2167 is chiral, and its enantiomorph is scale 3523

Scale 3523Scale 3523, 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 2165Scale 2165, Ian Ring Music Theory
Scale 2163Scale 2163, Ian Ring Music Theory
Scale 2171Scale 2171, Ian Ring Music Theory
Scale 2175Scale 2175, Ian Ring Music Theory
Scale 2151Scale 2151, Ian Ring Music Theory
Scale 2159Scale 2159, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2103Scale 2103, Ian Ring Music Theory
Scale 2231Scale 2231, Ian Ring Music Theory
Scale 2295Scale 2295, Ian Ring Music Theory
Scale 2423Scale 2423, Ian Ring Music Theory
Scale 2679Scale 2679, Ian Ring Music Theory
Scale 3191Scale 3191, Ian Ring Music Theory
Scale 119Scale 119, Ian Ring Music Theory
Scale 1143Scale 1143, 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