Scale 3117

i = imperfections

Tones	6 (hexatonic)
Pitch Class Set	{0,2,3,5,10,11}
Forte Number	6-Z11
Rotational Symmetry	none
Palindromic	no
Hemitonia	3 (trihemitonic)
Cohemitonia	1 (uncohemitonic)
Imperfections	3
Modes	5
Prime?	no prime: 183
Chirality	yes enantiomorph: 1671
Deep Scale	no
Interval Vector	333231
Interval Spectrum	p³m²n³s³d³t
Distribution Spectra	<1> = {1,2,5} <2> = {2,3,6,7} <3> = {4,5,7,8} <4> = {5,6,9,10} <5> = {7,10,11}
Spectra Variation	3.667
Myhill Property	no
Balanced	no
Coherence	no
Heliotonic	no

Modes

Modes are the rotational transformation of this scale. Scale 3117 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 1803
3rd mode: Scale 2949
4th mode: Scale 1761
5th mode: Scale 183					This is the prime mode
6th mode: Scale 2139

Prime

Negative

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3117 is 1671

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3117 is chiral, and its enantiomorph is scale 1671

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 3119
Scale 3113
Scale 3115
Scale 3109
Scale 3125
Scale 3133
Scale 3085
Scale 3101
Scale 3149
Scale 3181
Scale 3245				Mela Varunapriya
Scale 3373
Scale 3629
Scale 2093
Scale 2605
Scale 1069

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