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Scale 3991

Scale 3991, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,4,7,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Chiralityyes
enantiomorph: 3391
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3991 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4043
Scale 4043, Ian Ring Music Theory
3rd mode:
Scale 4069
Scale 4069, Ian Ring Music Theory
4th mode:
Scale 2041
Scale 2041, Ian Ring Music Theory
5th mode:
Scale 767
Scale 767, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2431
Scale 2431, Ian Ring Music Theory
7th mode:
Scale 3263
Scale 3263, Ian Ring Music Theory
8th mode:
Scale 3679
Scale 3679, Ian Ring Music Theory
9th mode:
Scale 3887
Scale 3887, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767, Ian Ring Music Theory

Negative

The nonatonic modal family [3991, 4043, 4069, 2041, 767, 2431, 3263, 3679, 3887] is the negative of the tritonic modal family [11, 1537, 2053]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3991 is 3391

Scale 3391Scale 3391, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3991 is chiral, and its enantiomorph is scale 3391

Scale 3391Scale 3391, 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 3989Scale 3989, Ian Ring Music Theory
Scale 3987Scale 3987, Ian Ring Music Theory
Scale 3995Scale 3995, Ian Ring Music Theory
Scale 3999Scale 3999, Ian Ring Music Theory
Scale 3975Scale 3975, Ian Ring Music Theory
Scale 3983Scale 3983, Ian Ring Music Theory
Scale 4007Scale 4007, Ian Ring Music Theory
Scale 4023Scale 4023, Ian Ring Music Theory
Scale 4055Scale 4055, Ian Ring Music Theory
Scale 3863Scale 3863, Ian Ring Music Theory
Scale 3927Scale 3927, Ian Ring Music Theory
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3479Scale 3479, Ian Ring Music Theory
Scale 2967Scale 2967, Ian Ring Music Theory
Scale 1943Scale 1943, 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