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Scale 2983: "Zythyllic"

Scale 2983: Zythyllic, 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
Zythyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,5,7,8,9,11}
Forte Number8-Z29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3259
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 751
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2983 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3539
Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
3rd mode:
Scale 3817
Scale 3817: Zoryllic, Ian Ring Music TheoryZoryllic
4th mode:
Scale 989
Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
5th mode:
Scale 1271
Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
6th mode:
Scale 2683
Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
7th mode:
Scale 3389
Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
8th mode:
Scale 1871
Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic

Prime

The prime form of this scale is Scale 751

Scale 751Scale 751, Ian Ring Music Theory

Complement

The octatonic modal family [2983, 3539, 3817, 989, 1271, 2683, 3389, 1871] (Forte: 8-Z29) is the complement of the tetratonic modal family [139, 353, 1553, 2117] (Forte: 4-Z29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2983 is 3259

Scale 3259Scale 3259, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2983 is chiral, and its enantiomorph is scale 3259

Scale 3259Scale 3259, Ian Ring Music Theory

Transformations:

T0 2983  T0I 3259
T1 1871  T1I 2423
T2 3742  T2I 751
T3 3389  T3I 1502
T4 2683  T4I 3004
T5 1271  T5I 1913
T6 2542  T6I 3826
T7 989  T7I 3557
T8 1978  T8I 3019
T9 3956  T9I 1943
T10 3817  T10I 3886
T11 3539  T11I 3677

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 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2979Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2991Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 2951Scale 2951, Ian Ring Music Theory
Scale 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
Scale 3047Scale 3047: Panygic, Ian Ring Music TheoryPanygic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2919Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
Scale 2727Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 3495Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
Scale 4007Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
Scale 935Scale 935: Chromatic Dorian, Ian Ring Music TheoryChromatic Dorian
Scale 1959Scale 1959: Katolyllic, Ian Ring Music TheoryKatolyllic

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.