Back to all scales
The Exciting Universe Of Music Theory

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

Scale 3961

Scale 3961, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,3,4,5,6,8,9,10,11}
Forte Number9-5
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Chiralityyes
enantiomorph: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3961 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1007
Scale 1007, Ian Ring Music Theory
3rd mode:
Scale 2551
Scale 2551, Ian Ring Music Theory
4th mode:
Scale 3323
Scale 3323, Ian Ring Music Theory
5th mode:
Scale 3709
Scale 3709, Ian Ring Music Theory
6th mode:
Scale 1951
Scale 1951, Ian Ring Music Theory
7th mode:
Scale 3023
Scale 3023, Ian Ring Music Theory
8th mode:
Scale 3559
Scale 3559, Ian Ring Music Theory
9th mode:
Scale 3827
Scale 3827, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991, Ian Ring Music Theory

Negative

The nonatonic modal family [3961, 1007, 2551, 3323, 3709, 1951, 3023, 3559, 3827] is the negative of the tritonic modal family [67, 193, 2081]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3961 is 991

Scale 991Scale 991, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3961 is chiral, and its enantiomorph is scale 991

Scale 991Scale 991, 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 3963Scale 3963, Ian Ring Music Theory
Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 3953Scale 3953, Ian Ring Music Theory
Scale 3957Scale 3957, Ian Ring Music Theory
Scale 3945Scale 3945, Ian Ring Music Theory
Scale 3929Scale 3929, Ian Ring Music Theory
Scale 3897Scale 3897, Ian Ring Music Theory
Scale 4025Scale 4025, Ian Ring Music Theory
Scale 4089Scale 4089, Ian Ring Music Theory
Scale 3705Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 inverse
Scale 3833Scale 3833, Ian Ring Music Theory
Scale 3449Scale 3449, Ian Ring Music Theory
Scale 2937Scale 2937, Ian Ring Music Theory
Scale 1913Scale 1913, 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