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Scale 2299: "Phraptyllic"

Scale 2299: Phraptyllic, 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
Phraptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,6,7,11}
Forte Number8-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3043
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 479
Deep Scaleno
Interval Vector654553
Interval Spectrump5m5n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.75
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2299 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3197
Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
3rd mode:
Scale 1823
Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
4th mode:
Scale 2959
Scale 2959: Dygyllic, Ian Ring Music TheoryDygyllic
5th mode:
Scale 3527
Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
6th mode:
Scale 3811
Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
7th mode:
Scale 3953
Scale 3953: Thagyllic, Ian Ring Music TheoryThagyllic
8th mode:
Scale 503
Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic

Complement

The octatonic modal family [2299, 3197, 1823, 2959, 3527, 3811, 3953, 503] (Forte: 8-5) is the complement of the tetratonic modal family [71, 449, 2083, 3089] (Forte: 4-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2299 is 3043

Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2299 is chiral, and its enantiomorph is scale 3043

Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic

Transformations:

T0 2299  T0I 3043
T1 503  T1I 1991
T2 1006  T2I 3982
T3 2012  T3I 3869
T4 4024  T4I 3643
T5 3953  T5I 3191
T6 3811  T6I 2287
T7 3527  T7I 479
T8 2959  T8I 958
T9 1823  T9I 1916
T10 3646  T10I 3832
T11 3197  T11I 3569

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 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
Scale 2291Scale 2291: Zydian, Ian Ring Music TheoryZydian
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2171Scale 2171, Ian Ring Music Theory
Scale 2427Scale 2427: Katoryllic, Ian Ring Music TheoryKatoryllic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 2811Scale 2811: Barygic, Ian Ring Music TheoryBarygic
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
Scale 251Scale 251, Ian Ring Music Theory
Scale 1275Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic

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.