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Scale 3167

Scale 3167, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,4,6,10,11}
Forte Number8-2
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Chiralityyes
enantiomorph: 3911
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3167 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3631
Scale 3631, Ian Ring Music Theory
3rd mode:
Scale 3863
Scale 3863, Ian Ring Music Theory
4th mode:
Scale 3979
Scale 3979, Ian Ring Music Theory
5th mode:
Scale 4037
Scale 4037, Ian Ring Music Theory
6th mode:
Scale 2033
Scale 2033, Ian Ring Music Theory
7th mode:
Scale 383
Scale 383, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2239
Scale 2239, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383, Ian Ring Music Theory

Negative

The octatonic modal family [3167, 3631, 3863, 3979, 4037, 2033, 383, 2239] is the negative of the tetratonic modal family [23, 1793, 2059, 3077]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3167 is 3911

Scale 3911Scale 3911, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3167 is chiral, and its enantiomorph is scale 3911

Scale 3911Scale 3911, 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 3165Scale 3165, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3159Scale 3159, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3183Scale 3183, Ian Ring Music Theory
Scale 3199Scale 3199, Ian Ring Music Theory
Scale 3103Scale 3103, Ian Ring Music Theory
Scale 3135Scale 3135, Ian Ring Music Theory
Scale 3231Scale 3231, Ian Ring Music Theory
Scale 3295Scale 3295, Ian Ring Music Theory
Scale 3423Scale 3423, Ian Ring Music Theory
Scale 3679Scale 3679, Ian Ring Music Theory
Scale 2143Scale 2143, Ian Ring Music Theory
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 1119Scale 1119, 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