Back to all scales
The Exciting Universe Of Music Theory

presents more than you ever wanted to know about...

Scale 3917

Scale 3917, Ian Ring Music Theory

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,6,8,9,10,11}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 1631
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3917 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2003
Scale 2003, Ian Ring Music Theory
3rd mode:
Scale 3049
Scale 3049, Ian Ring Music Theory
4th mode:
Scale 893
Scale 893, Ian Ring Music Theory
5th mode:
Scale 1247
Scale 1247, Ian Ring Music Theory
6th mode:
Scale 2671
Scale 2671, Ian Ring Music Theory
7th mode:
Scale 3383
Scale 3383, Ian Ring Music Theory
8th mode:
Scale 3739
Scale 3739, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763, Ian Ring Music Theory

Negative

The octatonic modal family [3917, 2003, 3049, 893, 1247, 2671, 3383, 3739] is the negative of the tetratonic modal family [77, 833, 1043, 2569]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3917 is 1631

Scale 1631Scale 1631, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3917 is chiral, and its enantiomorph is scale 1631

Scale 1631Scale 1631, 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 3919Scale 3919, Ian Ring Music Theory
Scale 3913Scale 3913, Ian Ring Music Theory
Scale 3915Scale 3915, Ian Ring Music Theory
Scale 3909Scale 3909, Ian Ring Music Theory
Scale 3925Scale 3925, Ian Ring Music Theory
Scale 3933Scale 3933, Ian Ring Music Theory
Scale 3949Scale 3949, Ian Ring Music Theory
Scale 3853Scale 3853, Ian Ring Music Theory
Scale 3885Scale 3885, Ian Ring Music Theory
Scale 3981Scale 3981, Ian Ring Music Theory
Scale 4045Scale 4045, Ian Ring Music Theory
Scale 3661Scale 3661, Ian Ring Music Theory
Scale 3789Scale 3789, Ian Ring Music Theory
Scale 3405Scale 3405, Ian Ring Music Theory
Scale 2893Scale 2893, Ian Ring Music Theory
Scale 1869Scale 1869, 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