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Scale 3063: "Solyllian"

Scale 3063: Solyllian, 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
Solyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,4,5,6,7,8,9,11}
Forte Number10-5
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections1
Modes9
Prime?no
prime: 1983
Deep Scaleno
Interval Vector888894
Interval Spectrump9m8n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6,7}
<6> = {7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1
Maximally Evenno
Maximal Area Setyes
Interior Area2.866
Myhill Propertyno
Balancedno
Ridge Tones[1]
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}352.77
C♯{1,5,8}452.41
D{2,6,9}352.86
E{4,8,11}452.68
F{5,9,0}452.5
G{7,11,2}352.95
A{9,1,4}352.59
Minor Triadsc♯m{1,4,8}452.5
dm{2,5,9}452.68
em{4,7,11}352.86
fm{5,8,0}452.41
f♯m{6,9,1}352.77
am{9,0,4}352.59
bm{11,2,6}352.95
Augmented TriadsC+{0,4,8}552.41
C♯+{1,5,9}552.41
Diminished Triadsc♯°{1,4,7}253.05
{2,5,8}252.86
{5,8,11}252.86
f♯°{6,9,0}253.05
g♯°{8,11,2}253.05
{11,2,5}253.05
Parsimonious Voice Leading Between Common Triads of Scale 3063. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° em em C->em c#m c#m C+->c#m E E C+->E fm fm C+->fm am am C+->am c#°->c#m C# C# c#m->C# A A c#m->A C#+ C#+ C#->C#+ C#->d° C#->fm dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m C#+->A d°->dm D D dm->D dm->b° D->f#m bm bm D->bm em->E Parsimonious Voice Leading Between Common Triads of Scale 3063. Created by Ian Ring ©2019 G em->G E->f° g#° g#° E->g#° f°->fm fm->F f#° f#° F->f#° F->am f#°->f#m G->g#° G->bm am->A b°->bm

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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.

Diameter5
Radius5
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3063 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3579
Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
3rd mode:
Scale 3837
Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
4th mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode
5th mode:
Scale 3039
Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
6th mode:
Scale 3567
Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
7th mode:
Scale 3831
Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
8th mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
9th mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
10th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

The decatonic modal family [3063, 3579, 3837, 1983, 3039, 3567, 3831, 3963, 4029, 2031] (Forte: 10-5) is the complement of the modal family [33, 129] (Forte: 2-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3063 is 3579

Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian

Transformations:

T0 3063  T0I 3579
T1 2031  T1I 3063
T2 4062  T2I 2031
T3 4029  T3I 4062
T4 3963  T4I 4029
T5 3831  T5I 3963
T6 3567  T6I 3831
T7 3039  T7I 3567
T8 1983  T8I 3039
T9 3966  T9I 1983
T10 3837  T10I 3966
T11 3579  T11I 3837

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 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 3031Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian

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.