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Scale 3819: "Aeolanygic"

Scale 3819: Aeolanygic, 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

Zeitler
Aeolanygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,5,6,7,9,10,11}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2799
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

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♯{3,7,10}342.33
F{5,9,0}342.47
F♯{6,10,1}442.07
B{11,3,6}342.33
Minor Triadscm{0,3,7}342.47
d♯m{3,6,10}442.07
f♯m{6,9,1}442.2
a♯m{10,1,5}242.47
Augmented TriadsC♯+{1,5,9}342.4
D♯+{3,7,11}342.4
Diminished Triads{0,3,6}242.67
d♯°{3,6,9}242.33
f♯°{6,9,0}242.53
{7,10,1}242.47
{9,0,3}242.53
Parsimonious Voice Leading Between Common Triads of Scale 3819. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ cm->a° C#+ C#+ F F C#+->F f#m f#m C#+->f#m a#m a#m C#+->a#m d#° d#° d#m d#m d#°->d#m d#°->f#m D# D# d#m->D# F# F# d#m->F# d#m->B D#->D#+ D#->g° D#+->B f#° f#° F->f#° F->a° f#°->f#m f#m->F# F#->g° F#->a#m

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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3819 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic
3rd mode:
Scale 2013
Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
4th mode:
Scale 1527
Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
5th mode:
Scale 2811
Scale 2811: Barygic, Ian Ring Music TheoryBarygic
6th mode:
Scale 3453
Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
7th mode:
Scale 1887
Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
8th mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
9th mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Padygic, Ian Ring Music TheoryPadygic

Complement

The nonatonic modal family [3819, 3957, 2013, 1527, 2811, 3453, 1887, 2991, 3543] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3819 is 2799

Scale 2799Scale 2799: Epilygic, Ian Ring Music TheoryEpilygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3819 is chiral, and its enantiomorph is scale 2799

Scale 2799Scale 2799: Epilygic, Ian Ring Music TheoryEpilygic

Transformations:

T0 3819  T0I 2799
T1 3543  T1I 1503
T2 2991  T2I 3006
T3 1887  T3I 1917
T4 3774  T4I 3834
T5 3453  T5I 3573
T6 2811  T6I 3051
T7 1527  T7I 2007
T8 3054  T8I 4014
T9 2013  T9I 3933
T10 4026  T10I 3771
T11 3957  T11I 3447

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 3817Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3835Scale 3835: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
Scale 3691Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic
Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
Scale 1771Scale 1771, 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, 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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.