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Scale 311: "Stagimic"

Scale 311: Stagimic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram


Common Names



Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,5,8}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3473
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 311 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2203
Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
3rd mode:
Scale 3149
Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
4th mode:
Scale 1811
Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
5th mode:
Scale 2953
Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
6th mode:
Scale 881
Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic


This is the prime form of this scale.


The hexatonic modal family [311, 2203, 3149, 1811, 2953, 881] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)


The inverse of a scale is a reflection using the root as its axis. The inverse of 311 is 3473

Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic


Only scales that are chiral will have an enantiomorph. Scale 311 is chiral, and its enantiomorph is scale 3473

Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic


T0 311  T0I 3473
T1 622  T1I 2851
T2 1244  T2I 1607
T3 2488  T3I 3214
T4 881  T4I 2333
T5 1762  T5I 571
T6 3524  T6I 1142
T7 2953  T7I 2284
T8 1811  T8I 473
T9 3622  T9I 946
T10 3149  T10I 1892
T11 2203  T11I 3784

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 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 55Scale 55, Ian Ring Music Theory
Scale 183Scale 183, Ian Ring Music Theory
Scale 567Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 1335Scale 1335: Aeralian, Ian Ring Music TheoryAeralian
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian

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