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Scale 3311

Scale 3311, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,7,10,11}
Forte Number9-4
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Chiralityyes
enantiomorph: 3815
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3311 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3703
Scale 3703, Ian Ring Music Theory
3rd mode:
Scale 3899
Scale 3899, Ian Ring Music Theory
4th mode:
Scale 3997
Scale 3997, Ian Ring Music Theory
5th mode:
Scale 2023
Scale 2023, Ian Ring Music Theory
6th mode:
Scale 3059
Scale 3059, Ian Ring Music Theory
7th mode:
Scale 3577
Scale 3577, Ian Ring Music Theory
8th mode:
Scale 959
Scale 959, Ian Ring Music TheoryThis is the prime mode
9th mode:
Scale 2527
Scale 2527, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959, Ian Ring Music Theory

Negative

The nonatonic modal family [3311, 3703, 3899, 3997, 2023, 3059, 3577, 959, 2527] is the negative of the tritonic modal family [35, 385, 2065]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3311 is 3815

Scale 3815Scale 3815, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3311 is chiral, and its enantiomorph is scale 3815

Scale 3815Scale 3815, 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 3309Scale 3309, Ian Ring Music Theory
Scale 3307Scale 3307, Ian Ring Music Theory
Scale 3303Scale 3303, Ian Ring Music Theory
Scale 3319Scale 3319, Ian Ring Music Theory
Scale 3327Scale 3327, Ian Ring Music Theory
Scale 3279Scale 3279, Ian Ring Music Theory
Scale 3295Scale 3295, Ian Ring Music Theory
Scale 3247Scale 3247, Ian Ring Music Theory
Scale 3183Scale 3183, Ian Ring Music Theory
Scale 3439Scale 3439, Ian Ring Music Theory
Scale 3567Scale 3567, Ian Ring Music Theory
Scale 3823Scale 3823, Ian Ring Music Theory
Scale 2287Scale 2287, Ian Ring Music Theory
Scale 2799Scale 2799, Ian Ring Music Theory
Scale 1263Scale 1263, 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