Back to all scales
The Exciting Universe Of Music Theory

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

Scale 3337

Scale 3337, Ian Ring Music Theory
iii

i = imperfections

Tones5 (pentatonic)
Pitch Class Set{0,3,8,10,11}
Forte Number5-11
Rotational Symmetrynone
Palindromicno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 157
Chiralityyes
enantiomorph: 535
Deep Scaleno
Interval Vector222220
Interval Spectrump2m2n2s2d2
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3337 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 929
Scale 929, Ian Ring Music Theory
3rd mode:
Scale 157
Scale 157, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 1063
Scale 1063, Ian Ring Music Theory
5th mode:
Scale 2579
Scale 2579, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 157

Scale 157Scale 157, Ian Ring Music Theory

Negative

The pentatonic modal family [3337, 929, 157, 1063, 2579] is the negative of the heptatonic modal family [379, 1583, 1969, 2237, 2839, 3467, 3781]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3337 is 535

Scale 535Scale 535, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3337 is chiral, and its enantiomorph is scale 535

Scale 535Scale 535, 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 3339Scale 3339, Ian Ring Music Theory
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3329Scale 3329, Ian Ring Music Theory
Scale 3333Scale 3333, Ian Ring Music Theory
Scale 3345Scale 3345, Ian Ring Music Theory
Scale 3353Scale 3353, Ian Ring Music Theory
Scale 3369Scale 3369, Ian Ring Music Theory
Scale 3401Scale 3401, Ian Ring Music Theory
Scale 3465Scale 3465, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3209Scale 3209, Ian Ring Music Theory
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2825Scale 2825, Ian Ring Music Theory
Scale 1289Scale 1289, 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