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Scale 3799: "Aeralygic"

Scale 3799: Aeralygic, 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
Aeralygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,6,7,9,10,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3439
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
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 TriadsC{0,4,7}342.44
D{2,6,9}242.38
F♯{6,10,1}442.13
G{7,11,2}342.44
A{9,1,4}442.31
Minor Triadsem{4,7,11}342.44
f♯m{6,9,1}442.19
gm{7,10,2}442.31
am{9,0,4}342.44
bm{11,2,6}242.56
Augmented TriadsD+{2,6,10}442.19
Diminished Triadsc♯°{1,4,7}242.56
{4,7,10}242.56
f♯°{6,9,0}242.56
{7,10,1}242.44
a♯°{10,1,4}242.44
Parsimonious Voice Leading Between Common Triads of Scale 3799. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em am am C->am A A c#°->A D D D+ D+ D->D+ f#m f#m D->f#m F# F# D+->F# gm gm D+->gm bm bm D+->bm e°->em e°->gm Parsimonious Voice Leading Between Common Triads of Scale 3799. Created by Ian Ring ©2019 G em->G f#° f#° f#°->f#m f#°->am f#m->F# f#m->A F#->g° a#° a#° F#->a#° g°->gm gm->G G->bm am->A A->a#°

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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 3799 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3947
Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
3rd mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
4th mode:
Scale 2029
Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
5th mode:
Scale 1531
Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
6th mode:
Scale 2813
Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
7th mode:
Scale 1727
Scale 1727: Sydygic, Ian Ring Music TheorySydygic
8th mode:
Scale 2911
Scale 2911: Katygic, Ian Ring Music TheoryKatygic
9th mode:
Scale 3503
Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [3799, 3947, 4021, 2029, 1531, 2813, 1727, 2911, 3503] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3799 is 3439

Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3799 is chiral, and its enantiomorph is scale 3439

Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic

Transformations:

T0 3799  T0I 3439
T1 3503  T1I 2783
T2 2911  T2I 1471
T3 1727  T3I 2942
T4 3454  T4I 1789
T5 2813  T5I 3578
T6 1531  T6I 3061
T7 3062  T7I 2027
T8 2029  T8I 4054
T9 4058  T9I 4013
T10 4021  T10I 3931
T11 3947  T11I 3767

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 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3795Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
Scale 3803Scale 3803: Epidygic, Ian Ring Music TheoryEpidygic
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3735Scale 3735, Ian Ring Music Theory
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3671Scale 3671: Aeonyllic, Ian Ring Music TheoryAeonyllic
Scale 3927Scale 3927: Monygic, Ian Ring Music TheoryMonygic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 3543Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic

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.