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Scale 2847: "Phracryllic"

Scale 2847: Phracryllic, 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
Phracryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,8,9,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3867
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 2847 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
3rd mode:
Scale 3783
Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic
4th mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
5th mode:
Scale 4017
Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
6th mode:
Scale 507
Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
7th mode:
Scale 2301
Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
8th mode:
Scale 1599
Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [2847, 3471, 3783, 3939, 4017, 507, 2301, 1599] (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 2847 is 3867

Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2847 is chiral, and its enantiomorph is scale 3867

Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic

Transformations:

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

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 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2839Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 2879Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2975Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
Scale 2591Scale 2591, Ian Ring Music Theory
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic
Scale 3871Scale 3871: Aerynygic, Ian Ring Music TheoryAerynygic
Scale 799Scale 799: Lolian, Ian Ring Music TheoryLolian
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic

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.