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Scale 3381

Scale 3381, Ian Ring Music Theory

i = imperfections

Tones7 (heptatonic)
Pitch Class Set{0,2,4,5,8,10,11}
Forte Number7-28
Rotational Symmetrynone
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 747
enantiomorph: 1431
Deep Scaleno
Interval Vector344433
Interval Spectrump3m4n4s4d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Myhill Propertyno

Harmonic Chords


Modes are the rotational transformation of this scale. Scale 3381 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1869
Scale 1869, Ian Ring Music Theory
3rd mode:
Scale 1491
Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
4th mode:
Scale 2793
Scale 2793, Ian Ring Music Theory
5th mode:
Scale 861
Scale 861, Ian Ring Music Theory
6th mode:
Scale 1239
Scale 1239, Ian Ring Music Theory
7th mode:
Scale 2667
Scale 2667, Ian Ring Music Theory


The prime form of this scale is Scale 747

Scale 747Scale 747, Ian Ring Music Theory


The heptatonic modal family [3381, 1869, 1491, 2793, 861, 1239, 2667] is the negative of the pentatonic modal family [333, 837, 1107, 1233, 2601]


The inverse of a scale is a reflection using the root as its axis. The inverse of 3381 is 1431

Scale 1431Scale 1431, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 3381 is chiral, and its enantiomorph is scale 1431

Scale 1431Scale 1431, 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 3383Scale 3383, Ian Ring Music Theory
Scale 3377Scale 3377, Ian Ring Music Theory
Scale 3379Scale 3379: Verdi's Scala enigmatica descending, Ian Ring Music TheoryVerdi's Scala enigmatica descending
Scale 3385Scale 3385: Chromatic Phrygian, Ian Ring Music TheoryChromatic Phrygian
Scale 3389Scale 3389, Ian Ring Music Theory
Scale 3365Scale 3365, Ian Ring Music Theory
Scale 3373Scale 3373, Ian Ring Music Theory
Scale 3349Scale 3349, Ian Ring Music Theory
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3445Scale 3445: Messiaen mode 6 inverse, Ian Ring Music TheoryMessiaen mode 6 inverse
Scale 3509Scale 3509, Ian Ring Music Theory
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 3253Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
Scale 3637Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 3893Scale 3893, Ian Ring Music Theory
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2869Scale 2869: Ionian Augmented, Ian Ring Music TheoryIonian Augmented
Scale 1333Scale 1333, 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