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Scale 3533: "Thadyllic"

Scale 3533: Thadyllic, Ian Ring Music Theory

Common Names



Cardinality8 (octatonic)
Pitch Class Set{0,2,3,6,7,8,10,11}
Forte Number8-19
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1655
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 887
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 3533 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1907
Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
3rd mode:
Scale 3001
Scale 3001: Lonyllic, Ian Ring Music TheoryLonyllic
4th mode:
Scale 887
Scale 887: Sathyllic, Ian Ring Music TheorySathyllicThis is the prime mode
5th mode:
Scale 2491
Scale 2491: Layllic, Ian Ring Music TheoryLayllic
6th mode:
Scale 3293
Scale 3293: Saryllic, Ian Ring Music TheorySaryllic
7th mode:
Scale 1847
Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
8th mode:
Scale 2971
Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic


The prime form of this scale is Scale 887

Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic


The octatonic modal family [3533, 1907, 3001, 887, 2491, 3293, 1847, 2971] (Forte: 8-19) is the complement of the tetratonic modal family [275, 305, 785, 2185] (Forte: 4-19)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3533 is 1655

Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic


Only scales that are chiral will have an enantiomorph. Scale 3533 is chiral, and its enantiomorph is scale 1655

Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic


T0 3533  T0I 1655
T1 2971  T1I 3310
T2 1847  T2I 2525
T3 3694  T3I 955
T4 3293  T4I 1910
T5 2491  T5I 3820
T6 887  T6I 3545
T7 1774  T7I 2995
T8 3548  T8I 1895
T9 3001  T9I 3790
T10 1907  T10I 3485
T11 3814  T11I 2875

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 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3531Scale 3531: Neveseri, Ian Ring Music TheoryNeveseri
Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian
Scale 3541Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3789Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
Scale 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 2509Scale 2509: Double Harmonic Minor, Ian Ring Music TheoryDouble Harmonic Minor
Scale 3021Scale 3021: Stodyllic, Ian Ring Music TheoryStodyllic
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani

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. Bibliography