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Scale 3161

Scale 3161, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,3,4,6,10,11}
Forte Number6-Z43
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 359
Chiralityyes
enantiomorph: 839
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {5,6,7}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3161 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 907
Scale 907, Ian Ring Music Theory
3rd mode:
Scale 2501
Scale 2501, Ian Ring Music Theory
4th mode:
Scale 1649
Scale 1649, Ian Ring Music Theory
5th mode:
Scale 359
Scale 359, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2227
Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula

Prime

The prime form of this scale is Scale 359

Scale 359Scale 359, Ian Ring Music Theory

Negative

The hexatonic modal family [3161, 907, 2501, 1649, 359, 2227] is the negative of the hexatonic modal family [407, 739, 1817, 2251, 2417, 3173]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3161 is 839

Scale 839Scale 839, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3161 is chiral, and its enantiomorph is scale 839

Scale 839Scale 839, 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 3163Scale 3163, Ian Ring Music Theory
Scale 3165Scale 3165, Ian Ring Music Theory
Scale 3153Scale 3153, Ian Ring Music Theory
Scale 3157Scale 3157, Ian Ring Music Theory
Scale 3145Scale 3145, Ian Ring Music Theory
Scale 3177Scale 3177, Ian Ring Music Theory
Scale 3193Scale 3193, Ian Ring Music Theory
Scale 3097Scale 3097, Ian Ring Music Theory
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3225Scale 3225, Ian Ring Music Theory
Scale 3289Scale 3289: Lydian Sharp 2 Sharp 6, Ian Ring Music TheoryLydian Sharp 2 Sharp 6
Scale 3417Scale 3417, Ian Ring Music Theory
Scale 3673Scale 3673, Ian Ring Music Theory
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2649Scale 2649, Ian Ring Music Theory
Scale 1113Scale 1113: Locrian Pentatonic 2, Ian Ring Music TheoryLocrian Pentatonic 2

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