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Scale 1979: "Aeradygic"

Scale 1979: Aeradygic, 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
Aeradygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,5,7,8,9,10}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3005
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

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}442.28
C♯{1,5,8}342.44
D♯{3,7,10}342.67
F{5,9,0}342.44
G♯{8,0,3}342.39
A{9,1,4}442.22
Minor Triadscm{0,3,7}342.5
c♯m{1,4,8}442.17
fm{5,8,0}342.39
am{9,0,4}442.17
a♯m{10,1,5}342.56
Augmented TriadsC+{0,4,8}542
C♯+{1,5,9}442.33
Diminished Triadsc♯°{1,4,7}242.56
{4,7,10}242.72
{7,10,1}242.72
{9,0,3}242.67
a♯°{10,1,4}242.67
Parsimonious Voice Leading Between Common Triads of Scale 1979. Created by Ian Ring ©2019 cm cm C C cm->C D# D# cm->D# G# G# cm->G# C+ C+ C->C+ c#° c#° C->c#° C->e° c#m c#m C+->c#m fm fm C+->fm C+->G# am am C+->am c#°->c#m C# C# c#m->C# A A c#m->A C#+ C#+ C#->C#+ C#->fm F F C#+->F C#+->A a#m a#m C#+->a#m D#->e° D#->g° fm->F F->am g°->a#m G#->a° a°->am am->A a#° a#° A->a#° a#°->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 1979 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3037
Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
3rd mode:
Scale 1783
Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
4th mode:
Scale 2939
Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
5th mode:
Scale 3517
Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
6th mode:
Scale 1903
Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
7th mode:
Scale 2999
Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
8th mode:
Scale 3547
Scale 3547: Sadygic, Ian Ring Music TheorySadygic
9th mode:
Scale 3821
Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [1979, 3037, 1783, 2939, 3517, 1903, 2999, 3547, 3821] (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 1979 is 3005

Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1979 is chiral, and its enantiomorph is scale 3005

Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic

Transformations:

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

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 1977Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 1971Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1947Scale 1947: Byptyllic, Ian Ring Music TheoryByptyllic
Scale 2011Scale 2011: Raphygic, Ian Ring Music TheoryRaphygic
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1915Scale 1915: Thydygic, Ian Ring Music TheoryThydygic
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 955Scale 955: Ionogyllic, Ian Ring Music TheoryIonogyllic
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 4027Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian

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.