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Scale 1021

Scale 1021, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,9}
Forte Number9-2
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 767
Chiralityyes
enantiomorph: 2041
Deep Scaleno
Interval Vector777663
Interval Spectrump6m6n7s7d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {7,8,9,10}
<8> = {9,10,11}
Spectra Variation2.444
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1021 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1279
Scale 1279, Ian Ring Music Theory
3rd mode:
Scale 2687
Scale 2687, Ian Ring Music Theory
4th mode:
Scale 3391
Scale 3391, Ian Ring Music Theory
5th mode:
Scale 3743
Scale 3743, Ian Ring Music Theory
6th mode:
Scale 3919
Scale 3919, Ian Ring Music Theory
7th mode:
Scale 4007
Scale 4007, Ian Ring Music Theory
8th mode:
Scale 4051
Scale 4051, Ian Ring Music Theory
9th mode:
Scale 4073
Scale 4073, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 767

Scale 767Scale 767, Ian Ring Music Theory

Negative

The nonatonic modal family [1021, 1279, 2687, 3391, 3743, 3919, 4007, 4051, 4073] is the negative of the tritonic modal family [11, 1537, 2053]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1021 is 2041

Scale 2041Scale 2041, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1021 is chiral, and its enantiomorph is scale 2041

Scale 2041Scale 2041, 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 1023Scale 1023, Ian Ring Music Theory
Scale 1017Scale 1017, Ian Ring Music Theory
Scale 1019Scale 1019, Ian Ring Music Theory
Scale 1013Scale 1013, Ian Ring Music Theory
Scale 1005Scale 1005, Ian Ring Music Theory
Scale 989Scale 989, Ian Ring Music Theory
Scale 957Scale 957, Ian Ring Music Theory
Scale 893Scale 893, Ian Ring Music Theory
Scale 765Scale 765, Ian Ring Music Theory
Scale 509Scale 509, Ian Ring Music Theory
Scale 1533Scale 1533, Ian Ring Music Theory
Scale 2045Scale 2045, Ian Ring Music Theory
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza

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