The Exciting Universe Of Music Theory

more than you ever wanted to know about...

Scale 3941: "Stathyllic"

Scale 3941: Stathyllic, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram


Common Names



Cardinality8 (octatonic)
Pitch Class Set{0,2,5,6,8,9,10,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 1247
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
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
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 3941 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2009
Scale 2009: Stacryllic, Ian Ring Music TheoryStacryllic
3rd mode:
Scale 763
Scale 763: Doryllic, Ian Ring Music TheoryDoryllicThis is the prime mode
4th mode:
Scale 2429
Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
5th mode:
Scale 1631
Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
6th mode:
Scale 2863
Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
7th mode:
Scale 3479
Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
8th mode:
Scale 3787
Scale 3787: Kagyllic, Ian Ring Music TheoryKagyllic


The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic


The octatonic modal family [3941, 2009, 763, 2429, 1631, 2863, 3479, 3787] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3941 is 1247

Scale 1247Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic


Only scales that are chiral will have an enantiomorph. Scale 3941 is chiral, and its enantiomorph is scale 1247

Scale 1247Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic


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

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 3943Scale 3943: Zynygic, Ian Ring Music TheoryZynygic
Scale 3937Scale 3937, Ian Ring Music Theory
Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
Scale 3945Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
Scale 3949Scale 3949: Koptygic, Ian Ring Music TheoryKoptygic
Scale 3957Scale 3957: Porygic, Ian Ring Music TheoryPorygic
Scale 3909Scale 3909: Rydian, Ian Ring Music TheoryRydian
Scale 3925Scale 3925: Thyryllic, Ian Ring Music TheoryThyryllic
Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian
Scale 4005Scale 4005, Ian Ring Music Theory
Scale 4069Scale 4069: Starygic, Ian Ring Music TheoryStarygic
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3429Scale 3429: Marian, Ian Ring Music TheoryMarian
Scale 2917Scale 2917: Nohkan Flute scale, Ian Ring Music TheoryNohkan Flute scale
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian

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