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Scale 3661: "Mixodorian"

Scale 3661: Mixodorian, 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
Mixodorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,6,9,10,11}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1615
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3661 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1939
Scale 1939: Dathian, Ian Ring Music TheoryDathian
3rd mode:
Scale 3017
Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
4th mode:
Scale 889
Scale 889: Borian, Ian Ring Music TheoryBorian
5th mode:
Scale 623
Scale 623: Sycrian, Ian Ring Music TheorySycrianThis is the prime mode
6th mode:
Scale 2359
Scale 2359: Gadian, Ian Ring Music TheoryGadian
7th mode:
Scale 3227
Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [3661, 1939, 3017, 889, 623, 2359, 3227] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3661 is 1615

Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3661 is chiral, and its enantiomorph is scale 1615

Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian

Transformations:

T0 3661  T0I 1615
T1 3227  T1I 3230
T2 2359  T2I 2365
T3 623  T3I 635
T4 1246  T4I 1270
T5 2492  T5I 2540
T6 889  T6I 985
T7 1778  T7I 1970
T8 3556  T8I 3940
T9 3017  T9I 3785
T10 1939  T10I 3475
T11 3878  T11I 2855

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 3663Scale 3663: Sonyllic, Ian Ring Music TheorySonyllic
Scale 3657Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
Scale 3659Scale 3659: Polian, Ian Ring Music TheoryPolian
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 3669Scale 3669: Mothian, Ian Ring Music TheoryMothian
Scale 3677Scale 3677, Ian Ring Music Theory
Scale 3693Scale 3693: Stadyllic, Ian Ring Music TheoryStadyllic
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian
Scale 3789Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
Scale 3917Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic

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.