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Scale 1247

Scale 1247, Ian Ring Music Theory
iiii

i = imperfections

Tones8 (octatonic)
Pitch Class Set{0,1,2,3,4,6,7,10}
Forte Number8-12
Rotational Symmetrynone
Palindromicno
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Chiralityyes
enantiomorph: 3941
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1247 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2671
Scale 2671, Ian Ring Music Theory
3rd mode:
Scale 3383
Scale 3383, Ian Ring Music Theory
4th mode:
Scale 3739
Scale 3739, Ian Ring Music Theory
5th mode:
Scale 3917
Scale 3917, Ian Ring Music Theory
6th mode:
Scale 2003
Scale 2003, Ian Ring Music Theory
7th mode:
Scale 3049
Scale 3049, Ian Ring Music Theory
8th mode:
Scale 893
Scale 893, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763, Ian Ring Music Theory

Negative

The octatonic modal family [1247, 2671, 3383, 3739, 3917, 2003, 3049, 893] is the negative of the tetratonic modal family [77, 833, 1043, 2569]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1247 is 3941

Scale 3941Scale 3941, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1247 is chiral, and its enantiomorph is scale 3941

Scale 3941Scale 3941, 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 1245Scale 1245, Ian Ring Music Theory
Scale 1243Scale 1243, Ian Ring Music Theory
Scale 1239Scale 1239, Ian Ring Music Theory
Scale 1231Scale 1231, Ian Ring Music Theory
Scale 1263Scale 1263, Ian Ring Music Theory
Scale 1279Scale 1279, Ian Ring Music Theory
Scale 1183Scale 1183, Ian Ring Music Theory
Scale 1215Scale 1215, Ian Ring Music Theory
Scale 1119Scale 1119, Ian Ring Music Theory
Scale 1375Scale 1375, Ian Ring Music Theory
Scale 1503Scale 1503, Ian Ring Music Theory
Scale 1759Scale 1759, Ian Ring Music Theory
Scale 223Scale 223, Ian Ring Music Theory
Scale 735Scale 735, Ian Ring Music Theory
Scale 2271Scale 2271, Ian Ring Music Theory
Scale 3295Scale 3295, 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