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Scale 1817

Scale 1817, Ian Ring Music Theory
iii

i = imperfections

Tones6 (hexatonic)
Pitch Class Set{0,3,4,8,9,10}
Forte Number6-Z17
Rotational Symmetrynone
Palindromicno
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 407
Chiralityyes
enantiomorph: 797
Deep Scaleno
Interval Vector322332
Interval Spectrump3m3n2s2d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5}
<3> = {4,6,8}
<4> = {7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation2.667
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1817 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 739
Scale 739, Ian Ring Music Theory
3rd mode:
Scale 2417
Scale 2417, Ian Ring Music Theory
4th mode:
Scale 407
Scale 407, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2251
Scale 2251, Ian Ring Music Theory
6th mode:
Scale 3173
Scale 3173, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 407

Scale 407Scale 407, Ian Ring Music Theory

Negative

The hexatonic modal family [1817, 739, 2417, 407, 2251, 3173] is the negative of the hexatonic modal family [359, 907, 1649, 2227, 2501, 3161]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1817 is 797

Scale 797Scale 797, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1817 is chiral, and its enantiomorph is scale 797

Scale 797Scale 797, 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 1819Scale 1819, Ian Ring Music Theory
Scale 1821Scale 1821, Ian Ring Music Theory
Scale 1809Scale 1809, Ian Ring Music Theory
Scale 1813Scale 1813, Ian Ring Music Theory
Scale 1801Scale 1801, Ian Ring Music Theory
Scale 1833Scale 1833, Ian Ring Music Theory
Scale 1849Scale 1849: Chromatic Hypodorian inverse, Ian Ring Music TheoryChromatic Hypodorian inverse
Scale 1881Scale 1881, Ian Ring Music Theory
Scale 1945Scale 1945, Ian Ring Music Theory
Scale 1561Scale 1561, Ian Ring Music Theory
Scale 1689Scale 1689, Ian Ring Music Theory
Scale 1305Scale 1305, Ian Ring Music Theory
Scale 793Scale 793, Ian Ring Music Theory
Scale 2841Scale 2841, Ian Ring Music Theory
Scale 3865Scale 3865, 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