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Scale 1991: "Phryptyllic"

Scale 1991: Phryptyllic, 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
Phryptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,6,7,8,9,10}
Forte Number8-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3197
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 1991 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3043
Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
3rd mode:
Scale 3569
Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
4th mode:
Scale 479
Scale 479: Kocryllic, Ian Ring Music TheoryKocryllicThis is the prime mode
5th mode:
Scale 2287
Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
6th mode:
Scale 3191
Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
7th mode:
Scale 3643
Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic
8th mode:
Scale 3869
Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic

Prime

The prime form of this scale is Scale 479

Scale 479Scale 479: Kocryllic, Ian Ring Music TheoryKocryllic

Complement

The octatonic modal family [1991, 3043, 3569, 479, 2287, 3191, 3643, 3869] (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 1991 is 3197

Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1991 is chiral, and its enantiomorph is scale 3197

Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic

Transformations:

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

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 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian
Scale 1987Scale 1987, Ian Ring Music Theory
Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic
Scale 1999Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic
Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic
Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
Scale 1927Scale 1927, Ian Ring Music Theory
Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic
Scale 1863Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 1479Scale 1479: Mela Jalarnava, Ian Ring Music TheoryMela Jalarnava
Scale 967Scale 967: Mela Salaga, Ian Ring Music TheoryMela Salaga
Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
Scale 4039Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic

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.