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Scale 3727

Scale 3727, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,7,9,10,11}
Forte Number8-2
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 383
Chiralityyes
enantiomorph: 3631
Deep Scaleno
Interval Vector665542
Interval Spectrump4m5n5s6d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {6,7,9,10}
<7> = {8,10,11}
Spectra Variation3.25
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3727 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3911
Scale 3911, Ian Ring Music Theory
3rd mode:
Scale 4003
Scale 4003, Ian Ring Music Theory
4th mode:
Scale 4049
Scale 4049, Ian Ring Music Theory
5th mode:
Scale 509
Scale 509, Ian Ring Music Theory
6th mode:
Scale 1151
Scale 1151, Ian Ring Music Theory
7th mode:
Scale 2623
Scale 2623, Ian Ring Music Theory
8th mode:
Scale 3359
Scale 3359, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 383

Scale 383Scale 383, Ian Ring Music Theory

Negative

The octatonic modal family [3727, 3911, 4003, 4049, 509, 1151, 2623, 3359] is the negative of the tetratonic modal family [23, 1793, 2059, 3077]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3727 is 3631

Scale 3631Scale 3631, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3727 is chiral, and its enantiomorph is scale 3631

Scale 3631Scale 3631, 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 3725Scale 3725, Ian Ring Music Theory
Scale 3723Scale 3723, Ian Ring Music Theory
Scale 3719Scale 3719, Ian Ring Music Theory
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3743Scale 3743, Ian Ring Music Theory
Scale 3759Scale 3759, Ian Ring Music Theory
Scale 3791Scale 3791, Ian Ring Music Theory
Scale 3599Scale 3599, Ian Ring Music Theory
Scale 3663Scale 3663, Ian Ring Music Theory
Scale 3855Scale 3855, Ian Ring Music Theory
Scale 3983Scale 3983, Ian Ring Music Theory
Scale 3215Scale 3215, Ian Ring Music Theory
Scale 3471Scale 3471, Ian Ring Music Theory
Scale 2703Scale 2703, Ian Ring Music Theory
Scale 1679Scale 1679, 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