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Scale 1663

Scale 1663, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,6,9,10}
Forte Number9-3
Rotational Symmetrynone
Palindromicno
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Chiralityyes
enantiomorph: 4045
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1663 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2879
Scale 2879, Ian Ring Music Theory
3rd mode:
Scale 3487
Scale 3487, Ian Ring Music Theory
4th mode:
Scale 3791
Scale 3791, Ian Ring Music Theory
5th mode:
Scale 3943
Scale 3943, Ian Ring Music Theory
6th mode:
Scale 4019
Scale 4019, Ian Ring Music Theory
7th mode:
Scale 4057
Scale 4057, Ian Ring Music Theory
8th mode:
Scale 1019
Scale 1019, Ian Ring Music Theory
9th mode:
Scale 2557
Scale 2557, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895, Ian Ring Music Theory

Negative

The nonatonic modal family [1663, 2879, 3487, 3791, 3943, 4019, 4057, 1019, 2557] is the negative of the tritonic modal family [19, 769, 2057]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1663 is 4045

Scale 4045Scale 4045, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1663 is chiral, and its enantiomorph is scale 4045

Scale 4045Scale 4045, 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 1661Scale 1661, Ian Ring Music Theory
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1655Scale 1655, Ian Ring Music Theory
Scale 1647Scale 1647, Ian Ring Music Theory
Scale 1631Scale 1631, Ian Ring Music Theory
Scale 1599Scale 1599, Ian Ring Music Theory
Scale 1727Scale 1727, Ian Ring Music Theory
Scale 1791Scale 1791, Ian Ring Music Theory
Scale 1919Scale 1919, Ian Ring Music Theory
Scale 1151Scale 1151, Ian Ring Music Theory
Scale 1407Scale 1407, Ian Ring Music Theory
Scale 639Scale 639, Ian Ring Music Theory
Scale 2687Scale 2687, Ian Ring Music Theory
Scale 3711Scale 3711, 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