Scale 1621: "Prometheus (Scriabin)"

Also known as: Mystic, Raga Barbara)

i = imperfections

Tones	6 (hexatonic)
Pitch Class Set	{0,2,4,6,9,10}
Forte Number	6-34
Rotational Symmetry	none
Palindromic	no
Interval Spectrum	p²m⁴n²s⁴dt²
Hemitonia	1 (unhemitonic)
Cohemitonia	0 (ancohemitonic)
Imperfections	4
Modes	5
Prime?	no prime: 683
Chirality	yes enantiomorph: 1357
Deep Scale	no
Distribution Spectra	<1> = {1,2,3} <2> = {3,4,5} <3> = {5,6,7} <4> = {7,8,9} <5> = {9,10,11}
Spectra Variation	1.667
Myhill Property	no
Coherence	no
Heliotonic	no

Modes

Modes are the rotational transformation of this scale. Scale 1621 can be rotated to make 5 other scales.

Scale 1429
Scale 1381
Scale 1369
Scale 683
Scale 2389				Eskimo Hexatonic 2

Prime

The prime form of this scale is Scale 683

Scale 683

Negative

The hexatonic modal family [1621, 1429, 1381, 1369, 683, 2389] is the negative of the hexatonic modal family [853, 1237, 1333, 1357, 1363, 2474, 2729]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1621 is 1357

Scale 1357

Takemitsu Tree Line mode 2

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1621 is chiral, and its enantiomorph is scale 1357

Scale 1357

Takemitsu Tree Line mode 2

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 1623
Scale 1617
Scale 1619				Prometheus Neapolitan
Scale 1625
Scale 1629
Scale 1605
Scale 1613
Scale 1637
Scale 1653				Minor Romani inverse
Scale 1557
Scale 1589				Raga Rageshri
Scale 1685
Scale 1749				Acoustic
Scale 1877
Scale 1109
Scale 1365				Whole-tone
Scale 597				Kung
Scale 2645				Raga Mruganandana
Scale 3669

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