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Scale 3915

Scale 3915, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,3,6,8,9,10,11}
Forte Number8-10
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 765
Chiralityno
Deep Scaleno
Interval Vector566452
Interval Spectrump5m4n6s6d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {9,10,11}
Spectra Variation2.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3915 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 4005
Scale 4005, Ian Ring Music Theory
3rd mode:
Scale 2025
Scale 2025, Ian Ring Music Theory
4th mode:
Scale 765
Scale 765, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 1215
Scale 1215, Ian Ring Music Theory
6th mode:
Scale 2655
Scale 2655, Ian Ring Music Theory
7th mode:
Scale 3375
Scale 3375, Ian Ring Music Theory
8th mode:
Scale 3735
Scale 3735, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 765

Scale 765Scale 765, Ian Ring Music Theory

Negative

The octatonic modal family [3915, 4005, 2025, 765, 1215, 2655, 3375, 3735] is the negative of the tetratonic modal family [45, 1035, 1665, 2565]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3915 is 2655

Scale 2655Scale 2655, 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 3913Scale 3913, Ian Ring Music Theory
Scale 3917Scale 3917, Ian Ring Music Theory
Scale 3919Scale 3919, Ian Ring Music Theory
Scale 3907Scale 3907, Ian Ring Music Theory
Scale 3911Scale 3911, Ian Ring Music Theory
Scale 3923Scale 3923, Ian Ring Music Theory
Scale 3931Scale 3931, Ian Ring Music Theory
Scale 3947Scale 3947, Ian Ring Music Theory
Scale 3851Scale 3851, Ian Ring Music Theory
Scale 3883Scale 3883, Ian Ring Music Theory
Scale 3979Scale 3979, Ian Ring Music Theory
Scale 4043Scale 4043, Ian Ring Music Theory
Scale 3659Scale 3659, Ian Ring Music Theory
Scale 3787Scale 3787, Ian Ring Music Theory
Scale 3403Scale 3403, Ian Ring Music Theory
Scale 2891Scale 2891, Ian Ring Music Theory
Scale 1867Scale 1867, 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