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The Exciting Universe Of Music Theory

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Scale 3709

Scale 3709, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,9,10,11}
Forte Number9-5
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Chiralityyes
enantiomorph: 1999
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3709 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1951
Scale 1951, Ian Ring Music Theory
3rd mode:
Scale 3023
Scale 3023, Ian Ring Music Theory
4th mode:
Scale 3559
Scale 3559, Ian Ring Music Theory
5th mode:
Scale 3827
Scale 3827, Ian Ring Music Theory
6th mode:
Scale 3961
Scale 3961, Ian Ring Music Theory
7th mode:
Scale 1007
Scale 1007, Ian Ring Music Theory
8th mode:
Scale 2551
Scale 2551, Ian Ring Music Theory
9th mode:
Scale 3323
Scale 3323, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991, Ian Ring Music Theory

Negative

The nonatonic modal family [3709, 1951, 3023, 3559, 3827, 3961, 1007, 2551, 3323] is the negative of the tritonic modal family [67, 193, 2081]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3709 is 1999

Scale 1999Scale 1999, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3709 is chiral, and its enantiomorph is scale 1999

Scale 1999Scale 1999, 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 3711Scale 3711, Ian Ring Music Theory
Scale 3705Scale 3705: Messiaen mode 4 inverse, Ian Ring Music TheoryMessiaen mode 4 inverse
Scale 3707Scale 3707, Ian Ring Music Theory
Scale 3701Scale 3701, Ian Ring Music Theory
Scale 3693Scale 3693, Ian Ring Music Theory
Scale 3677Scale 3677, Ian Ring Music Theory
Scale 3645Scale 3645, Ian Ring Music Theory
Scale 3773Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
Scale 3837Scale 3837: Minor Pentatonic with leading tones, Ian Ring Music TheoryMinor Pentatonic with leading tones
Scale 3965Scale 3965: Messiaen mode 7 inverse, Ian Ring Music TheoryMessiaen mode 7 inverse
Scale 3197Scale 3197, Ian Ring Music Theory
Scale 3453Scale 3453, Ian Ring Music Theory
Scale 2685Scale 2685, Ian Ring Music Theory
Scale 1661Scale 1661, 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