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Scale 1783: "Youlan Scale"

Scale 1783: Youlan Scale, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Unknown / Unsorted
Youlan Scale
Zeitler
Danygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,9,10}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3565
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
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
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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: Goptygic, Ian Ring Music TheoryGoptygic
3rd mode:
Scale 3517
Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
4th mode:
Scale 1903
Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
5th mode:
Scale 2999
Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
6th mode:
Scale 3547
Scale 3547: Sadygic, Ian Ring Music TheorySadygic
7th mode:
Scale 3821
Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
8th mode:
Scale 1979
Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
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: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [1783, 2939, 3517, 1903, 2999, 3547, 3821, 1979, 3037] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

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

Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic

Enantiomorph

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

Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic

Transformations:

T0 1783  T0I 3565
T1 3566  T1I 3035
T2 3037  T2I 1975
T3 1979  T3I 3950
T4 3958  T4I 3805
T5 3821  T5I 3515
T6 3547  T6I 2935
T7 2999  T7I 1775
T8 1903  T8I 3550
T9 3806  T9I 3005
T10 3517  T10I 1915
T11 2939  T11I 3830

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: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 1779Scale 1779: Zynyllic, Ian Ring Music TheoryZynyllic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian
Scale 1767Scale 1767: Dyryllic, Ian Ring Music TheoryDyryllic
Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 759Scale 759: Katalyllic, Ian Ring Music TheoryKatalyllic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.