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Scale 2909: "Mocryllic"

Scale 2909: Mocryllic, 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
Mocryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,6,8,9,11}
Forte Number8-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1883
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes7
Prime?no
prime: 1463
Deep Scaleno
Interval Vector456553
Interval Spectrump5m5n6s5d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.25
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
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 TriadsD{2,6,9}342.23
E{4,8,11}242.23
G♯{8,0,3}441.92
B{11,3,6}441.92
Minor Triadsg♯m{8,11,3}441.85
am{9,0,4}342.23
bm{11,2,6}342.15
Augmented TriadsC+{0,4,8}342.15
Diminished Triads{0,3,6}242.15
d♯°{3,6,9}242.31
f♯°{6,9,0}242.31
g♯°{8,11,2}242.23
{9,0,3}242.31
Parsimonious Voice Leading Between Common Triads of Scale 2909. Created by Ian Ring ©2019 G# G# c°->G# B B c°->B C+ C+ E E C+->E C+->G# am am C+->am D D d#° d#° D->d#° f#° f#° D->f#° bm bm D->bm d#°->B g#m g#m E->g#m f#°->am g#° g#° g#°->g#m g#°->bm g#m->G# g#m->B G#->a° a°->am bm->B

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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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2909 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1751
Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
3rd mode:
Scale 2923
Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
4th mode:
Scale 3509
Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
5th mode:
Scale 1901
Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
6th mode:
Scale 1499
Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
7th mode:
Scale 2797
Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
8th mode:
Scale 1723
Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic

Prime

The prime form of this scale is Scale 1463

Scale 1463Scale 1463, Ian Ring Music Theory

Complement

The octatonic modal family [2909, 1751, 2923, 3509, 1901, 1499, 2797, 1723] (Forte: 8-27) is the complement of the tetratonic modal family [293, 593, 649, 1097] (Forte: 4-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2909 is 1883

Scale 1883Scale 1883, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2909 is chiral, and its enantiomorph is scale 1883

Scale 1883Scale 1883, Ian Ring Music Theory

Transformations:

T0 2909  T0I 1883
T1 1723  T1I 3766
T2 3446  T2I 3437
T3 2797  T3I 2779
T4 1499  T4I 1463
T5 2998  T5I 2926
T6 1901  T6I 1757
T7 3802  T7I 3514
T8 3509  T8I 2933
T9 2923  T9I 1771
T10 1751  T10I 3542
T11 3502  T11I 2989

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 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2905Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 2901Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
Scale 2893Scale 2893: Lylian, Ian Ring Music TheoryLylian
Scale 2925Scale 2925: Diminished, Ian Ring Music TheoryDiminished
Scale 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 2973Scale 2973: Panyllic, Ian Ring Music TheoryPanyllic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2781Scale 2781: Gycryllic, Ian Ring Music TheoryGycryllic
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic
Scale 861Scale 861: Rylian, Ian Ring Music TheoryRylian
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic

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.