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Scale 3165

Scale 3165, Ian Ring Music Theory
iiii

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,2,3,4,6,10,11}
Forte Number7-13
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Chiralityyes
enantiomorph: 1863
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3165 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1815
Scale 1815, Ian Ring Music Theory
3rd mode:
Scale 2955
Scale 2955, Ian Ring Music Theory
4th mode:
Scale 3525
Scale 3525, Ian Ring Music Theory
5th mode:
Scale 1905
Scale 1905, Ian Ring Music Theory
6th mode:
Scale 375
Scale 375, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2235
Scale 2235, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375, Ian Ring Music Theory

Negative

The heptatonic modal family [3165, 1815, 2955, 3525, 1905, 375, 2235] is the negative of the pentatonic modal family [279, 369, 1809, 2187, 3141]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3165 is 1863

Scale 1863Scale 1863, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3165 is chiral, and its enantiomorph is scale 1863

Scale 1863Scale 1863, 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 3167Scale 3167, Ian Ring Music Theory
Scale 3161Scale 3161, Ian Ring Music Theory
Scale 3163Scale 3163, Ian Ring Music Theory
Scale 3157Scale 3157, Ian Ring Music Theory
Scale 3149Scale 3149, Ian Ring Music Theory
Scale 3181Scale 3181, Ian Ring Music Theory
Scale 3197Scale 3197, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3133Scale 3133, Ian Ring Music Theory
Scale 3229Scale 3229, Ian Ring Music Theory
Scale 3293Scale 3293, Ian Ring Music Theory
Scale 3421Scale 3421, Ian Ring Music Theory
Scale 3677Scale 3677, Ian Ring Music Theory
Scale 2141Scale 2141, Ian Ring Music Theory
Scale 2653Scale 2653, Ian Ring Music Theory
Scale 1117Scale 1117, 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