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Scale 1783: "Youlan scale"

Scale 1783: Youlan scale, Ian Ring Music Theory

i = imperfections

Tones9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,9,10}
Forte Number9-11
Rotational Symmetrynone
Palindromicno
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Chiralityyes
enantiomorph: 3565
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Myhill Propertyno
Balancedno
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1783 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2939
Scale 2939, Ian Ring Music Theory
3rd mode:
Scale 3517
Scale 3517, Ian Ring Music Theory
4th mode:
Scale 1903
Scale 1903, Ian Ring Music Theory
5th mode:
Scale 2999
Scale 2999, Ian Ring Music Theory
6th mode:
Scale 3547
Scale 3547, Ian Ring Music Theory
7th mode:
Scale 3821
Scale 3821, Ian Ring Music Theory
8th mode:
Scale 1979
Scale 1979, Ian Ring Music Theory
9th mode:
Scale 3037
Scale 3037: nine tone scale, Ian Ring Music Theorynine tone scale

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775, Ian Ring Music Theory

Negative

The nonatonic modal family [1783, 2939, 3517, 1903, 2999, 3547, 3821, 1979, 3037] is the negative of the tritonic modal family [137, 289, 529]

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1783 is 3565

Scale 3565Scale 3565, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1783 is chiral, and its enantiomorph is scale 3565

Scale 3565Scale 3565, 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 1781Scale 1781, Ian Ring Music Theory
Scale 1779Scale 1779, Ian Ring Music Theory
Scale 1787Scale 1787, Ian Ring Music Theory
Scale 1791Scale 1791, Ian Ring Music Theory
Scale 1767Scale 1767, Ian Ring Music Theory
Scale 1775Scale 1775, Ian Ring Music Theory
Scale 1751Scale 1751, Ian Ring Music Theory
Scale 1719Scale 1719, Ian Ring Music Theory
Scale 1655Scale 1655, Ian Ring Music Theory
Scale 1911Scale 1911: Messiaen mode 3, Ian Ring Music TheoryMessiaen mode 3
Scale 2039Scale 2039, Ian Ring Music Theory
Scale 1271Scale 1271, Ian Ring Music Theory
Scale 1527Scale 1527, Ian Ring Music Theory
Scale 759Scale 759, Ian Ring Music Theory
Scale 2807Scale 2807, Ian Ring Music Theory
Scale 3831Scale 3831, 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