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Scale 3415

Scale 3415, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,4,6,8,10,11}
Forte Number8-21
Rotational Symmetrynone
Palindromicyes
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1375
Chiralityno
Deep Scaleno
Interval Vector474643
Interval Spectrump4m6n4s7d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3415 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3755
Scale 3755, Ian Ring Music Theory
3rd mode:
Scale 3925
Scale 3925, Ian Ring Music Theory
4th mode:
Scale 2005
Scale 2005, Ian Ring Music Theory
5th mode:
Scale 1525
Scale 1525, Ian Ring Music Theory
6th mode:
Scale 1405
Scale 1405, Ian Ring Music Theory
7th mode:
Scale 1375
Scale 1375, Ian Ring Music TheoryThis is the prime mode
8th mode:
Scale 2735
Scale 2735, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 1375

Scale 1375Scale 1375, Ian Ring Music Theory

Negative

The octatonic modal family [3415, 3755, 3925, 2005, 1525, 1405, 1375, 2735] is the negative of the tetratonic modal family [85, 1045, 1285, 1345]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3415 is itself, because it is a palindromic scale!

Scale 3415Scale 3415, 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 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 3419Scale 3419: Magan Abot, Ian Ring Music TheoryMagan Abot
Scale 3423Scale 3423, Ian Ring Music Theory
Scale 3399Scale 3399, Ian Ring Music Theory
Scale 3407Scale 3407, Ian Ring Music Theory
Scale 3431Scale 3431, Ian Ring Music Theory
Scale 3447Scale 3447, Ian Ring Music Theory
Scale 3351Scale 3351, Ian Ring Music Theory
Scale 3383Scale 3383, Ian Ring Music Theory
Scale 3479Scale 3479, Ian Ring Music Theory
Scale 3543Scale 3543, Ian Ring Music Theory
Scale 3159Scale 3159, Ian Ring Music Theory
Scale 3287Scale 3287, Ian Ring Music Theory
Scale 3671Scale 3671, Ian Ring Music Theory
Scale 3927Scale 3927, Ian Ring Music Theory
Scale 2391Scale 2391, Ian Ring Music Theory
Scale 2903Scale 2903, Ian Ring Music Theory
Scale 1367Scale 1367: Leading Whole-Tone inverse, Ian Ring Music TheoryLeading Whole-Tone inverse

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