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Scale 1919: "Rocryllian"

Scale 1919: Rocryllian, 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
Rocryllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,5,6,8,9,10}
Forte Number10-4
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?yes
Deep Scaleno
Interval Vector888984
Interval Spectrump8m9n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.2
Maximally Evenno
Maximal Area Setyes
Interior Area2.866
Myhill Propertyno
Balancedno
Ridge Tones[6]
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♯{1,5,8}452.52
D{2,6,9}452.65
F{5,9,0}452.43
F♯{6,10,1}352.74
G♯{8,0,3}353
A{9,1,4}452.43
A♯{10,2,5}352.74
Minor Triadsc♯m{1,4,8}352.74
dm{2,5,9}452.43
d♯m{3,6,10}353
fm{5,8,0}352.74
f♯m{6,9,1}452.43
am{9,0,4}452.65
a♯m{10,1,5}452.52
Augmented TriadsC+{0,4,8}452.78
C♯+{1,5,9}652.13
D+{2,6,10}452.78
Diminished Triads{0,3,6}253.13
{2,5,8}252.91
d♯°{3,6,9}253.13
f♯°{6,9,0}252.83
{9,0,3}253.13
a♯°{10,1,4}252.91
Parsimonious Voice Leading Between Common Triads of Scale 1919. Created by Ian Ring ©2019 d#m d#m c°->d#m G# G# c°->G# C+ C+ c#m c#m C+->c#m fm fm C+->fm C+->G# am am C+->am 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 a#m a#m C#+->a#m d°->dm D D dm->D A# A# dm->A# D+ D+ D->D+ d#° d#° D->d#° D->f#m D+->d#m F# F# D+->F# D+->A# d#°->d#m fm->F f#° f#° F->f#° F->am f#°->f#m f#m->F# F#->a#m G#->a° a°->am am->A a#° a#° A->a#° a#°->a#m a#m->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.

Diameter5
Radius5
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1919 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3007
Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
3rd mode:
Scale 3551
Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
4th mode:
Scale 3823
Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
5th mode:
Scale 3959
Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
6th mode:
Scale 4027
Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
7th mode:
Scale 4061
Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
8th mode:
Scale 2039
Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
9th mode:
Scale 3067
Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
10th mode:
Scale 3581
Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian

Prime

This is the prime form of this scale.

Complement

The decatonic modal family [1919, 3007, 3551, 3823, 3959, 4027, 4061, 2039, 3067, 3581] (Forte: 10-4) is the complement of the modal family [17, 257] (Forte: 2-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1919 is 4061

Scale 4061Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian

Transformations:

T0 1919  T0I 4061
T1 3838  T1I 4027
T2 3581  T2I 3959
T3 3067  T3I 3823
T4 2039  T4I 3551
T5 4078  T5I 3007
T6 4061  T6I 1919
T7 4027  T7I 3838
T8 3959  T8I 3581
T9 3823  T9I 3067
T10 3551  T10I 2039
T11 3007  T11I 4078

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 1917Scale 1917: Sacrygic, Ian Ring Music TheorySacrygic
Scale 1915Scale 1915: Thydygic, Ian Ring Music TheoryThydygic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 1903Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
Scale 1887Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic
Scale 1663Scale 1663: Lydygic, Ian Ring Music TheoryLydygic
Scale 1791Scale 1791: Aerygyllian, Ian Ring Music TheoryAerygyllian
Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic
Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic
Scale 2943Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
Scale 3967Scale 3967: Soratic, Ian Ring Music TheorySoratic

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. Special thanks to Richard Repp for helping with technical accuracy.