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Scale 3407

Scale 3407, Ian Ring Music Theory
iii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,6,8,10,11}
Forte Number8-11
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 703
Chiralityyes
enantiomorph: 3671
Deep Scaleno
Interval Vector565552
Interval Spectrump5m5n5s6d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {4,5,6,7,8}
<5> = {5,6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.75
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3407 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3751
Scale 3751, Ian Ring Music Theory
3rd mode:
Scale 3923
Scale 3923, Ian Ring Music Theory
4th mode:
Scale 4009
Scale 4009, Ian Ring Music Theory
5th mode:
Scale 1013
Scale 1013, Ian Ring Music Theory
6th mode:
Scale 1277
Scale 1277, Ian Ring Music Theory
7th mode:
Scale 1343
Scale 1343, Ian Ring Music Theory
8th mode:
Scale 2719
Scale 2719, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 703

Scale 703Scale 703, Ian Ring Music Theory

Negative

The octatonic modal family [3407, 3751, 3923, 4009, 1013, 1277, 1343, 2719] is the negative of the tetratonic modal family [43, 1409, 1541, 2069]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3407 is 3671

Scale 3671Scale 3671, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3407 is chiral, and its enantiomorph is scale 3671

Scale 3671Scale 3671, 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 3405Scale 3405, Ian Ring Music Theory
Scale 3403Scale 3403, Ian Ring Music Theory
Scale 3399Scale 3399, Ian Ring Music Theory
Scale 3415Scale 3415, Ian Ring Music Theory
Scale 3423Scale 3423, Ian Ring Music Theory
Scale 3439Scale 3439, Ian Ring Music Theory
Scale 3343Scale 3343, Ian Ring Music Theory
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3471Scale 3471, Ian Ring Music Theory
Scale 3535Scale 3535, Ian Ring Music Theory
Scale 3151Scale 3151, Ian Ring Music Theory
Scale 3279Scale 3279, Ian Ring Music Theory
Scale 3663Scale 3663, Ian Ring Music Theory
Scale 3919Scale 3919, Ian Ring Music Theory
Scale 2383Scale 2383, Ian Ring Music Theory
Scale 2895Scale 2895, Ian Ring Music Theory
Scale 1359Scale 1359, 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