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Scale 3887

Scale 3887, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,3,5,8,9,10,11}
Forte Number9-2
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Chiralityyes
enantiomorph: 3743
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 3887 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3991
Scale 3991, Ian Ring Music Theory
3rd mode:
Scale 4043
Scale 4043, Ian Ring Music Theory
4th mode:
Scale 4069
Scale 4069, Ian Ring Music Theory
5th mode:
Scale 2041
Scale 2041, Ian Ring Music Theory
6th mode:
Scale 767
Scale 767, Ian Ring Music TheoryThis is the prime mode
7th mode:
Scale 2431
Scale 2431, Ian Ring Music Theory
8th mode:
Scale 3263
Scale 3263, Ian Ring Music Theory
9th mode:
Scale 3679
Scale 3679, 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 [3887, 3991, 4043, 4069, 2041, 767, 2431, 3263, 3679] 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 3887 is 3743

Scale 3743Scale 3743, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3887 is chiral, and its enantiomorph is scale 3743

Scale 3743Scale 3743, 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 3885Scale 3885, Ian Ring Music Theory
Scale 3883Scale 3883, Ian Ring Music Theory
Scale 3879Scale 3879, Ian Ring Music Theory
Scale 3895Scale 3895, Ian Ring Music Theory
Scale 3903Scale 3903, Ian Ring Music Theory
Scale 3855Scale 3855, Ian Ring Music Theory
Scale 3871Scale 3871, Ian Ring Music Theory
Scale 3919Scale 3919, Ian Ring Music Theory
Scale 3951Scale 3951, Ian Ring Music Theory
Scale 4015Scale 4015, Ian Ring Music Theory
Scale 3631Scale 3631, Ian Ring Music Theory
Scale 3759Scale 3759, Ian Ring Music Theory
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 2863Scale 2863, Ian Ring Music Theory
Scale 1839Scale 1839, 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