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Scale 2811: "Barygic"

Scale 2811: Barygic, 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
Barygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,5,6,7,9,11}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3051
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 TriadsC{0,4,7}442.07
F{5,9,0}342.33
A{9,1,4}342.33
B{11,3,6}342.47
Minor Triadscm{0,3,7}442.2
em{4,7,11}242.47
f♯m{6,9,1}342.47
am{9,0,4}442.07
Augmented TriadsC♯+{1,5,9}342.4
D♯+{3,7,11}342.4
Diminished Triads{0,3,6}242.53
c♯°{1,4,7}242.47
d♯°{3,6,9}242.53
f♯°{6,9,0}242.67
{9,0,3}242.33
Parsimonious Voice Leading Between Common Triads of Scale 2811. 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 C#+ C#+ F F C#+->F f#m f#m C#+->f#m C#+->A d#° d#° d#°->f#m d#°->B D#+->em D#+->B f#° f#° F->f#° F->am f#°->f#m a°->am am->A

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 2811 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3453
Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
3rd mode:
Scale 1887
Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
4th mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
5th mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
6th mode:
Scale 3819
Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
7th mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic
8th mode:
Scale 2013
Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
9th mode:
Scale 1527
Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [2811, 3453, 1887, 2991, 3543, 3819, 3957, 2013, 1527] (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 2811 is 3051

Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2811 is chiral, and its enantiomorph is scale 3051

Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic

Transformations:

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

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 2809Scale 2809: Gythyllic, Ian Ring Music TheoryGythyllic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2803Scale 2803: Raga Bhatiyar, Ian Ring Music TheoryRaga Bhatiyar
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2939Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic

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.