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Scale 3311: "Mixodygic"

Scale 3311: Mixodygic, 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
Mixodygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,7,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3815
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 959
Deep Scaleno
Interval Vector766773
Interval Spectrump7m7n6s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3311 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3703
Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
3rd mode:
Scale 3899
Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
4th mode:
Scale 3997
Scale 3997: Dogygic, Ian Ring Music TheoryDogygic
5th mode:
Scale 2023
Scale 2023: Zodygic, Ian Ring Music TheoryZodygic
6th mode:
Scale 3059
Scale 3059: Madygic, Ian Ring Music TheoryMadygic
7th mode:
Scale 3577
Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
8th mode:
Scale 959
Scale 959: Katylygic, Ian Ring Music TheoryKatylygicThis is the prime mode
9th mode:
Scale 2527
Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3311, 3703, 3899, 3997, 2023, 3059, 3577, 959, 2527] (Forte: 9-4) is the complement of the tritonic modal family [35, 385, 2065] (Forte: 3-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3311 is 3815

Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3311 is chiral, and its enantiomorph is scale 3815

Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic

Transformations:

T0 3311  T0I 3815
T1 2527  T1I 3535
T2 959  T2I 2975
T3 1918  T3I 1855
T4 3836  T4I 3710
T5 3577  T5I 3325
T6 3059  T6I 2555
T7 2023  T7I 1015
T8 4046  T8I 2030
T9 3997  T9I 4060
T10 3899  T10I 4025
T11 3703  T11I 3955

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 3309Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
Scale 3307Scale 3307: Boptyllic, Ian Ring Music TheoryBoptyllic
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 3327Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
Scale 3279Scale 3279: Pythyllic, Ian Ring Music TheoryPythyllic
Scale 3295Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
Scale 3247Scale 3247: Aeolonyllic, Ian Ring Music TheoryAeolonyllic
Scale 3183Scale 3183: Mixonyllic, Ian Ring Music TheoryMixonyllic
Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2799Scale 2799: Lyryllian, Ian Ring Music TheoryLyryllian
Scale 1263Scale 1263: Stynyllic, Ian Ring Music TheoryStynyllic

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.