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Scale 3483: "Mixotharyllic"

Scale 3483: Mixotharyllic, 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
Mixotharyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,7,8,10,11}
Forte Number8-17
Rotational Symmetrynone
Reflection Axes5.5
Palindromicno
Chiralityno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 891
Deep Scaleno
Interval Vector546652
Interval Spectrump5m6n6s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tones[11]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3483 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3789
Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
3rd mode:
Scale 1971
Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
4th mode:
Scale 3033
Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic
5th mode:
Scale 891
Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllicThis is the prime mode
6th mode:
Scale 2493
Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
7th mode:
Scale 1647
Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
8th mode:
Scale 2871
Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic

Prime

The prime form of this scale is Scale 891

Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic

Complement

The octatonic modal family [3483, 3789, 1971, 3033, 891, 2493, 1647, 2871] (Forte: 8-17) is the complement of the tetratonic modal family [153, 531, 801, 2313] (Forte: 4-17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3483 is 2871

Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic

Transformations:

T0 3483  T0I 2871
T1 2871  T1I 1647
T2 1647  T2I 3294
T3 3294  T3I 2493
T4 2493  T4I 891
T5 891  T5I 1782
T6 1782  T6I 3564
T7 3564  T7I 3033
T8 3033  T8I 1971
T9 1971  T9I 3942
T10 3942  T10I 3789
T11 3789  T11I 3483

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 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3487Scale 3487: Byptygic, Ian Ring Music TheoryByptygic
Scale 3475Scale 3475: Kylian, Ian Ring Music TheoryKylian
Scale 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
Scale 3467Scale 3467: Katonian, Ian Ring Music TheoryKatonian
Scale 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3419Scale 3419: Magen Abot 1, Ian Ring Music TheoryMagen Abot 1
Scale 3227Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
Scale 2459Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 1435Scale 1435: Makam Huzzam, Ian Ring Music TheoryMakam Huzzam

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.