The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2783: "Gothygic"

Scale 2783: Gothygic, 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
Gothygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,6,7,9,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3947
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}442.19
D{2,6,9}342.44
G{7,11,2}242.56
A{9,1,4}342.44
B{11,3,6}442.31
Minor Triadscm{0,3,7}442.13
em{4,7,11}242.38
f♯m{6,9,1}342.44
am{9,0,4}442.31
bm{11,2,6}342.44
Augmented TriadsD♯+{3,7,11}442.19
Diminished Triads{0,3,6}242.44
c♯°{1,4,7}242.56
d♯°{3,6,9}242.56
f♯°{6,9,0}242.56
{9,0,3}242.44
Parsimonious Voice Leading Between Common Triads of Scale 2783. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B C C cm->C D#+ D#+ cm->D#+ cm->a° 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 bm bm D->bm d#°->B D#+->em Parsimonious Voice Leading Between Common Triads of Scale 2783. Created by Ian Ring ©2019 G D#+->G D#+->B f#° f#° f#°->f#m f#°->am f#m->A G->bm a°->am am->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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2783 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
3rd mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
4th mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
5th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
6th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic
7th mode:
Scale 3061
Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
8th mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
9th mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [2783, 3439, 3767, 3931, 4013, 2027, 3061, 1789, 1471] (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 2783 is 3947

Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2783 is chiral, and its enantiomorph is scale 3947

Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic

Transformations:

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

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 2781Scale 2781: Gycryllic, Ian Ring Music TheoryGycryllic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 2799Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 3039Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 3295Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic
Scale 1759Scale 1759: Pylygic, Ian Ring Music TheoryPylygic

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.