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Scale 3783: "Phrygyllic"

Scale 3783: Phrygyllic, 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
Phrygyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,6,7,9,10,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3183
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 3783 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3939
Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
3rd mode:
Scale 4017
Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
4th mode:
Scale 507
Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
5th mode:
Scale 2301
Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
6th mode:
Scale 1599
Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
7th mode:
Scale 2847
Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
8th mode:
Scale 3471
Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [3783, 3939, 4017, 507, 2301, 1599, 2847, 3471] (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 3783 is 3183

Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3783 is chiral, and its enantiomorph is scale 3183

Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic

Transformations:

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

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 3781Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
Scale 3779Scale 3779, Ian Ring Music Theory
Scale 3787Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 3719Scale 3719, Ian Ring Music Theory
Scale 3751Scale 3751: Aerathyllic, Ian Ring Music TheoryAerathyllic
Scale 3655Scale 3655: Mathian, Ian Ring Music TheoryMathian
Scale 3911Scale 3911: Katyryllic, Ian Ring Music TheoryKatyryllic
Scale 4039Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3527Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
Scale 2759Scale 2759: Mela Pavani, Ian Ring Music TheoryMela Pavani
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam

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.