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Scale 2013: "Mocrygic"

Scale 2013: Mocrygic, 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
Mocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,6,7,8,9,10}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1917
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2013 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1527
Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
3rd mode:
Scale 2811
Scale 2811: Barygic, Ian Ring Music TheoryBarygic
4th mode:
Scale 3453
Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
5th mode:
Scale 1887
Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
6th mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
7th mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
8th mode:
Scale 3819
Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
9th mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [2013, 1527, 2811, 3453, 1887, 2991, 3543, 3819, 3957] (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 2013 is 1917

Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2013 is chiral, and its enantiomorph is scale 1917

Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian

Transformations:

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

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 2015Scale 2015: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 2009Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic
Scale 2011Scale 2011: Raphygic, Ian Ring Music TheoryRaphygic
Scale 2005Scale 2005: Gygyllic, Ian Ring Music TheoryGygyllic
Scale 1997Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
Scale 2029Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 1949Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic
Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1501Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 4061Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.