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Scale 3057: "Phroryllic"

Scale 3057: Phroryllic, Ian Ring Music Theory

Common Names

Zeitler
Phroryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,4,5,6,7,8,9,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 507
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 3057 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 447
Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllicThis is the prime mode
3rd mode:
Scale 2271
Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
4th mode:
Scale 3183
Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
5th mode:
Scale 3639
Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
6th mode:
Scale 3867
Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
7th mode:
Scale 3981
Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
8th mode:
Scale 2019
Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [3057, 447, 2271, 3183, 3639, 3867, 3981, 2019] (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 3057 is 507

Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic

Enantiomorph

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

Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic

Transformations:

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

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 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 3025Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 2929Scale 2929: Aeolathian, Ian Ring Music TheoryAeolathian
Scale 2801Scale 2801: Zogian, Ian Ring Music TheoryZogian
Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic
Scale 1009Scale 1009: Katyptian, Ian Ring Music TheoryKatyptian
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic

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