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Scale 3183: "Mixonyllic"

Scale 3183: Mixonyllic, 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
Mixonyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,6,10,11}
Forte Number8-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3783
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 3183 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3639
Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
3rd mode:
Scale 3867
Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
4th mode:
Scale 3981
Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
5th mode:
Scale 2019
Scale 2019: Palyllic, Ian Ring Music TheoryPalyllic
6th mode:
Scale 3057
Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
7th mode:
Scale 447
Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllicThis is the prime mode
8th mode:
Scale 2271
Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic

Prime

The prime form of this scale is Scale 447

Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic

Complement

The octatonic modal family [3183, 3639, 3867, 3981, 2019, 3057, 447, 2271] (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 3183 is 3783

Scale 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3183 is chiral, and its enantiomorph is scale 3783

Scale 3783Scale 3783: Phrygyllic, Ian Ring Music TheoryPhrygyllic

Transformations:

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

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 3181Scale 3181: Rolian, Ian Ring Music TheoryRolian
Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian
Scale 3175Scale 3175: Eponian, Ian Ring Music TheoryEponian
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3199Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
Scale 3151Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
Scale 3167Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic
Scale 3119Scale 3119, Ian Ring Music Theory
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 2159Scale 2159, Ian Ring Music Theory
Scale 2671Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
Scale 1135Scale 1135: Katolian, Ian Ring Music TheoryKatolian

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.