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Scale 3115

Scale 3115, Ian Ring Music Theory

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,1,3,5,10,11}
Forte Number6-9
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 175
Chiralityyes
enantiomorph: 2695
Deep Scaleno
Interval Vector342231
Interval Spectrump3m2n2s4d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {7,10,11}
Spectra Variation4
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3115 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3605
Scale 3605, Ian Ring Music Theory
3rd mode:
Scale 1925
Scale 1925, Ian Ring Music Theory
4th mode:
Scale 1505
Scale 1505, Ian Ring Music Theory
5th mode:
Scale 175
Scale 175, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2135
Scale 2135, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 175

Scale 175Scale 175, Ian Ring Music Theory

Negative

The hexatonic modal family [3115, 3605, 1925, 1505, 175, 2135] is the negative of the hexatonic modal family [175, 1505, 1925, 2135, 3115, 3605]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3115 is 2695

Scale 2695Scale 2695, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3115 is chiral, and its enantiomorph is scale 2695

Scale 2695Scale 2695, 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 3113Scale 3113, Ian Ring Music Theory
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3119Scale 3119, Ian Ring Music Theory
Scale 3107Scale 3107, Ian Ring Music Theory
Scale 3111Scale 3111, Ian Ring Music Theory
Scale 3123Scale 3123, Ian Ring Music Theory
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3083Scale 3083, Ian Ring Music Theory
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 3147Scale 3147, Ian Ring Music Theory
Scale 3179Scale 3179, Ian Ring Music Theory
Scale 3243Scale 3243: Mela Rupavati, Ian Ring Music TheoryMela Rupavati
Scale 3371Scale 3371, Ian Ring Music Theory
Scale 3627Scale 3627, Ian Ring Music Theory
Scale 2091Scale 2091, Ian Ring Music Theory
Scale 2603Scale 2603, Ian Ring Music Theory
Scale 1067Scale 1067, 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