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Scale 2271: "Poptyllic"

Scale 2271: Poptyllic, 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
Poptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,4,6,7,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3939
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 2271 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3183
Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
3rd mode:
Scale 3639
Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
4th mode:
Scale 3867
Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
5th mode:
Scale 3981
Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
6th mode:
Scale 2019
Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
7th mode:
Scale 3057
Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
8th mode:
Scale 447
Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllicThis is the prime mode

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [2271, 3183, 3639, 3867, 3981, 2019, 3057, 447] (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 2271 is 3939

Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2271 is chiral, and its enantiomorph is scale 3939

Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic

Transformations:

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

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 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 2239Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
Scale 2143Scale 2143, Ian Ring Music Theory
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 2783Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
Scale 3295Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
Scale 223Scale 223, Ian Ring Music Theory
Scale 1247Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic

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.