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Scale 3279: "Pythyllic"

Scale 3279: Pythyllic, 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

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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
Pythyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,6,7,10,11}
Forte Number8-7
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 831
Deep Scaleno
Interval Vector645652
Interval Spectrump5m6n5s4d6t2
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5,7}
<4> = {4,6,8}
<5> = {5,7,9}
<6> = {8,10}
<7> = {9,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[1]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3279 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3687
Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
3rd mode:
Scale 3891
Scale 3891: Ryryllic, Ian Ring Music TheoryRyryllic
4th mode:
Scale 3993
Scale 3993: Ioniptyllic, Ian Ring Music TheoryIoniptyllic
5th mode:
Scale 1011
Scale 1011: Kycryllic, Ian Ring Music TheoryKycryllic
6th mode:
Scale 2553
Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
7th mode:
Scale 831
Scale 831: Rodyllic, Ian Ring Music TheoryRodyllicThis is the prime mode
8th mode:
Scale 2463
Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic

Prime

The prime form of this scale is Scale 831

Scale 831Scale 831: Rodyllic, Ian Ring Music TheoryRodyllic

Complement

The octatonic modal family [3279, 3687, 3891, 3993, 1011, 2553, 831, 2463] (Forte: 8-7) is the complement of the tetratonic modal family [51, 771, 2073, 2433] (Forte: 4-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3279 is 3687

Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic

Transformations:

T0 3279  T0I 3687
T1 2463  T1I 3279
T2 831  T2I 2463
T3 1662  T3I 831
T4 3324  T4I 1662
T5 2553  T5I 3324
T6 1011  T6I 2553
T7 2022  T7I 1011
T8 4044  T8I 2022
T9 3993  T9I 4044
T10 3891  T10I 3993
T11 3687  T11I 3891

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 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3275Scale 3275: Mela Divyamani, Ian Ring Music TheoryMela Divyamani
Scale 3271Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 3295Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3215Scale 3215: Katydian, Ian Ring Music TheoryKatydian
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3151Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
Scale 3407Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian

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.