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Scale 1903: "Rocrygic"

Scale 1903: Rocrygic, 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
Rocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,8,9,10}
Forte Number9-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3805
Hemitonia6 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1775
Deep Scaleno
Interval Vector667773
Interval Spectrump7m7n7s6d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {9,10}
<8> = {10,11}
Spectra Variation1.111
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1903 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2999
Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
3rd mode:
Scale 3547
Scale 3547: Sadygic, Ian Ring Music TheorySadygic
4th mode:
Scale 3821
Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
5th mode:
Scale 1979
Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
6th mode:
Scale 3037
Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
7th mode:
Scale 1783
Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
8th mode:
Scale 2939
Scale 2939: Goptygic, Ian Ring Music TheoryGoptygic
9th mode:
Scale 3517
Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic

Prime

The prime form of this scale is Scale 1775

Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic

Complement

The nonatonic modal family [1903, 2999, 3547, 3821, 1979, 3037, 1783, 2939, 3517] (Forte: 9-11) is the complement of the tritonic modal family [137, 289, 529] (Forte: 3-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1903 is 3805

Scale 3805Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1903 is chiral, and its enantiomorph is scale 3805

Scale 3805Scale 3805: Moptygic, Ian Ring Music TheoryMoptygic

Transformations:

T0 1903  T0I 3805
T1 3806  T1I 3515
T2 3517  T2I 2935
T3 2939  T3I 1775
T4 1783  T4I 3550
T5 3566  T5I 3005
T6 3037  T6I 1915
T7 1979  T7I 3830
T8 3958  T8I 3565
T9 3821  T9I 3035
T10 3547  T10I 1975
T11 2999  T11I 3950

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 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1895Scale 1895: Salyllic, Ian Ring Music TheorySalyllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 1887Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1967Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic
Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic
Scale 879Scale 879: Aeranyllic, Ian Ring Music TheoryAeranyllic
Scale 2927Scale 2927: Rodygic, Ian Ring Music TheoryRodygic
Scale 3951Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian

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.