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Scale 1599: "Pocryllic"

Scale 1599: Pocryllic, 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.

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
Pocryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,5,9,10}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3981
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
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1599 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2847
Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
3rd mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
4th mode:
Scale 3783
Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
5th mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
6th mode:
Scale 4017
Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
7th mode:
Scale 507
Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
8th mode:
Scale 2301
Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [1599, 2847, 3471, 3783, 3939, 4017, 507, 2301] (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 1599 is 3981

Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1599 is chiral, and its enantiomorph is scale 3981

Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic

Transformations:

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

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 1597Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1567Scale 1567, Ian Ring Music Theory
Scale 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
Scale 1663Scale 1663: Lydygic, Ian Ring Music TheoryLydygic
Scale 1727Scale 1727: Sydygic, Ian Ring Music TheorySydygic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 1087Scale 1087, Ian Ring Music Theory
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 575Scale 575: Ionydian, Ian Ring Music TheoryIonydian
Scale 2623Scale 2623: Aerylyllic, Ian Ring Music TheoryAerylyllic
Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic

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. Bibliography