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Scale 2893: "Lylian"

Scale 2893: Lylian, 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

41161837294116105072918310504116183
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

Zeitler
Lylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,6,8,9,11}
Forte Number7-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1627
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?no
prime: 731
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsD{2,6,9}331.8
G♯{8,0,3}331.8
B{11,3,6}431.6
Minor Triadsg♯m{8,11,3}331.7
bm{11,2,6}331.7
Diminished Triads{0,3,6}231.9
d♯°{3,6,9}231.9
f♯°{6,9,0}232
g♯°{8,11,2}232
{9,0,3}232
Parsimonious Voice Leading Between Common Triads of Scale 2893. Created by Ian Ring ©2019 G# G# c°->G# B B c°->B D D d#° d#° D->d#° f#° f#° D->f#° bm bm D->bm d#°->B f#°->a° g#° g#° g#m g#m g#°->g#m g#°->bm g#m->G# g#m->B G#->a° bm->B

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2893 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1747
Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
3rd mode:
Scale 2921
Scale 2921: Pogian, Ian Ring Music TheoryPogian
4th mode:
Scale 877
Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
5th mode:
Scale 1243
Scale 1243: Epylian, Ian Ring Music TheoryEpylian
6th mode:
Scale 2669
Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
7th mode:
Scale 1691
Scale 1691: Kathian, Ian Ring Music TheoryKathian

Prime

The prime form of this scale is Scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Complement

The heptatonic modal family [2893, 1747, 2921, 877, 1243, 2669, 1691] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2893 is 1627

Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2893 is chiral, and its enantiomorph is scale 1627

Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian

Transformations:

T0 2893  T0I 1627
T1 1691  T1I 3254
T2 3382  T2I 2413
T3 2669  T3I 731
T4 1243  T4I 1462
T5 2486  T5I 2924
T6 877  T6I 1753
T7 1754  T7I 3506
T8 3508  T8I 2917
T9 2921  T9I 1739
T10 1747  T10I 3478
T11 3494  T11I 2861

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 2895Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 2889Scale 2889: Thoptimic, Ian Ring Music TheoryThoptimic
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 3021Scale 3021: Stodyllic, Ian Ring Music TheoryStodyllic
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 3917Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.