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Scale 3997

Scale 3997, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,7,8,9,10,11}
Forte Number9-4
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Chiralityyes
enantiomorph: 1855
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3997 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2023
Scale 2023, Ian Ring Music Theory
3rd mode:
Scale 3059
Scale 3059, Ian Ring Music Theory
4th mode:
Scale 3577
Scale 3577, Ian Ring Music Theory
5th mode:
Scale 959
Scale 959, Ian Ring Music TheoryThis is the prime mode
6th mode:
Scale 2527
Scale 2527, Ian Ring Music Theory
7th mode:
Scale 3311
Scale 3311, Ian Ring Music Theory
8th mode:
Scale 3703
Scale 3703, Ian Ring Music Theory
9th mode:
Scale 3899
Scale 3899, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959, Ian Ring Music Theory

Negative

The nonatonic modal family [3997, 2023, 3059, 3577, 959, 2527, 3311, 3703, 3899] is the negative of the tritonic modal family [35, 385, 2065]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3997 is 1855

Scale 1855Scale 1855, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3997 is chiral, and its enantiomorph is scale 1855

Scale 1855Scale 1855, 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 3999Scale 3999, Ian Ring Music Theory
Scale 3993Scale 3993, Ian Ring Music Theory
Scale 3995Scale 3995, Ian Ring Music Theory
Scale 3989Scale 3989, Ian Ring Music Theory
Scale 3981Scale 3981, Ian Ring Music Theory
Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
Scale 4029Scale 4029: Major/Minor mixed, Ian Ring Music TheoryMajor/Minor mixed
Scale 4061Scale 4061, Ian Ring Music Theory
Scale 3869Scale 3869, Ian Ring Music Theory
Scale 3933Scale 3933, Ian Ring Music Theory
Scale 3741Scale 3741, Ian Ring Music Theory
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 2973Scale 2973, Ian Ring Music Theory
Scale 1949Scale 1949, 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