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Scale 3383: "Zoptyllic"

Scale 3383: Zoptyllic, 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
Zoptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,8,10,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3479
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3383 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3739
Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
3rd mode:
Scale 3917
Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
4th mode:
Scale 2003
Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
5th mode:
Scale 3049
Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
6th mode:
Scale 893
Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
7th mode:
Scale 1247
Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic
8th mode:
Scale 2671
Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Complement

The octatonic modal family [3383, 3739, 3917, 2003, 3049, 893, 1247, 2671] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3383 is 3479

Scale 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3383 is chiral, and its enantiomorph is scale 3479

Scale 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic

Transformations:

T0 3383  T0I 3479
T1 2671  T1I 2863
T2 1247  T2I 1631
T3 2494  T3I 3262
T4 893  T4I 2429
T5 1786  T5I 763
T6 3572  T6I 1526
T7 3049  T7I 3052
T8 2003  T8I 2009
T9 4006  T9I 4018
T10 3917  T10I 3941
T11 3739  T11I 3787

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 3381Scale 3381: Katanian, Ian Ring Music TheoryKatanian
Scale 3379Scale 3379: Verdi's Scala Enigmatica Descending, Ian Ring Music TheoryVerdi's Scala Enigmatica Descending
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic
Scale 3391Scale 3391: Aeolynygic, Ian Ring Music TheoryAeolynygic
Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian
Scale 3375Scale 3375, Ian Ring Music Theory
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3415Scale 3415: Ionaptyllic, Ian Ring Music TheoryIonaptyllic
Scale 3447Scale 3447: Mogyllian, Ian Ring Music TheoryMogyllian
Scale 3511Scale 3511: Epolygic, Ian Ring Music TheoryEpolygic
Scale 3127Scale 3127, Ian Ring Music Theory
Scale 3255Scale 3255: Daryllic, Ian Ring Music TheoryDaryllic
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale

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.