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Scale 3421

Scale 3421, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,2,3,4,6,8,10,11}
Forte Number8-24
Rotational Symmetrynone
Palindromicno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1399
Chiralityno
Deep Scaleno
Interval Vector464743
Interval Spectrump4m7n4s6d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3421 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1879
Scale 1879, Ian Ring Music Theory
3rd mode:
Scale 2987
Scale 2987: Neapolitan Major and Minor mixed, Ian Ring Music TheoryNeapolitan Major and Minor mixed
4th mode:
Scale 3541
Scale 3541, Ian Ring Music Theory
5th mode:
Scale 1909
Scale 1909, Ian Ring Music Theory
6th mode:
Scale 1501
Scale 1501, Ian Ring Music Theory
7th mode:
Scale 1399
Scale 1399, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2747
Scale 2747, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1399

Scale 1399Scale 1399, Ian Ring Music Theory

Negative

The octatonic modal family [3421, 1879, 2987, 3541, 1909, 1501, 1399, 2747] is the negative of the tetratonic modal family [277, 337, 1093, 1297]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3421 is 1879

Scale 1879Scale 1879, 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 3423Scale 3423, Ian Ring Music Theory
Scale 3417Scale 3417, Ian Ring Music Theory
Scale 3419Scale 3419: Magan Abot, Ian Ring Music TheoryMagan Abot
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3405Scale 3405, Ian Ring Music Theory
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3453Scale 3453, Ian Ring Music Theory
Scale 3357Scale 3357, Ian Ring Music Theory
Scale 3389Scale 3389, Ian Ring Music Theory
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3549Scale 3549: Messiaen mode 3 inverse, Ian Ring Music TheoryMessiaen mode 3 inverse
Scale 3165Scale 3165, Ian Ring Music Theory
Scale 3293Scale 3293, Ian Ring Music Theory
Scale 3677Scale 3677, Ian Ring Music Theory
Scale 3933Scale 3933, Ian Ring Music Theory
Scale 2397Scale 2397, Ian Ring Music Theory
Scale 2909Scale 2909, Ian Ring Music Theory
Scale 1373Scale 1373, 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