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Scale 3325: "Mixolygic"

Scale 3325: Mixolygic, 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
Mixolygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,10,11}
Forte Number9-4
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2023
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 3325 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1855
Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
3rd mode:
Scale 2975
Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
4th mode:
Scale 3535
Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
5th mode:
Scale 3815
Scale 3815: Galygic, Ian Ring Music TheoryGalygic
6th mode:
Scale 3955
Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
7th mode:
Scale 4025
Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
8th mode:
Scale 1015
Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
9th mode:
Scale 2555
Scale 2555: Bythygic, Ian Ring Music TheoryBythygic

Prime

The prime form of this scale is Scale 959

Scale 959Scale 959: Katylygic, Ian Ring Music TheoryKatylygic

Complement

The nonatonic modal family [3325, 1855, 2975, 3535, 3815, 3955, 4025, 1015, 2555] (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 3325 is 2023

Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3325 is chiral, and its enantiomorph is scale 2023

Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic

Transformations:

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

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 3327Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
Scale 3321Scale 3321: Epagyllic, Ian Ring Music TheoryEpagyllic
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3309Scale 3309: Bycryllic, Ian Ring Music TheoryBycryllic
Scale 3293Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
Scale 3261Scale 3261: Dodyllic, Ian Ring Music TheoryDodyllic
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3837Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
Scale 2301Scale 2301: Bydyllic, Ian Ring Music TheoryBydyllic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic

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.