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Scale 4083: "Bathyllian"

Scale 4083: Bathyllian, Ian Ring Music Theory

Common Names

Zeitler
Bathyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,4,5,6,7,8,9,10,11}
Forte Number10-1
Rotational Symmetrynone
Reflection Axes2.5
Palindromicno
Chiralityno
Hemitonia9 (multihemitonic)
Cohemitonia8 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1023
Deep Scaleno
Interval Vector988884
Interval Spectrump8m8n8s8d9t4
Distribution Spectra<1> = {1,3}
<2> = {2,4}
<3> = {3,5}
<4> = {4,6}
<5> = {5,7}
<6> = {6,8}
<7> = {7,9}
<8> = {8,10}
<9> = {9,11}
Spectra Variation1.8
Maximally Evenno
Myhill Propertyyes
Balancedno
Ridge Tones[5]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4083 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4089
Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
3rd mode:
Scale 1023
Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllianThis is the prime mode
4th mode:
Scale 2559
Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
5th mode:
Scale 3327
Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
6th mode:
Scale 3711
Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
7th mode:
Scale 3903
Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
8th mode:
Scale 3999
Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
9th mode:
Scale 4047
Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
10th mode:
Scale 4071
Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian

Prime

The prime form of this scale is Scale 1023

Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian

Complement

The decatonic modal family [4083, 4089, 1023, 2559, 3327, 3711, 3903, 3999, 4047, 4071] (Forte: 10-1) is the complement of the modal family [3, 2049] (Forte: 2-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4083 is 2559

Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian

Transformations:

T0 4083  T0I 2559
T1 4071  T1I 1023
T2 4047  T2I 2046
T3 3999  T3I 4092
T4 3903  T4I 4089
T5 3711  T5I 4083
T6 3327  T6I 4071
T7 2559  T7I 4047
T8 1023  T8I 3999
T9 2046  T9I 3903
T10 4092  T10I 3711
T11 4089  T11I 3327

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 4081Scale 4081: Manygic, Ian Ring Music TheoryManygic
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 4091Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
Scale 4067Scale 4067: Aeolarygic, Ian Ring Music TheoryAeolarygic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 4051Scale 4051: Ionilygic, Ian Ring Music TheoryIonilygic
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 3955Scale 3955: Pothygic, Ian Ring Music TheoryPothygic
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 2035Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic

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