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Scale 507: "Moryllic"

Scale 507: Moryllic, 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
Moryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,6,7,8}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3057
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 447
Deep Scaleno
Interval Vector655552
Interval Spectrump5m5n5s5d6t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6,7}
<4> = {4,5,7,8}
<5> = {5,6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 507 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2301
Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
3rd mode:
Scale 1599
Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
4th mode:
Scale 2847
Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
5th mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
6th mode:
Scale 3783
Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
7th mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
8th mode:
Scale 4017
Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [507, 2301, 1599, 2847, 3471, 3783, 3939, 4017] (Forte: 8-4) is the complement of the tetratonic modal family [39, 897, 2067, 3081] (Forte: 4-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 507 is 3057

Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 507 is chiral, and its enantiomorph is scale 3057

Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic

Transformations:

T0 507  T0I 3057
T1 1014  T1I 2019
T2 2028  T2I 4038
T3 4056  T3I 3981
T4 4017  T4I 3867
T5 3939  T5I 3639
T6 3783  T6I 3183
T7 3471  T7I 2271
T8 2847  T8I 447
T9 1599  T9I 894
T10 3198  T10I 1788
T11 2301  T11I 3576

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 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic
Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 475Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian
Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian
Scale 251Scale 251, Ian Ring Music Theory
Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic

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.