The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 4047: "Thogyllian"

Scale 4047: Thogyllian, Ian Ring Music Theory

Bracelet Diagram

Tonnetz Diagram

41161837294116105072918310504116183

Common Names

Zeitler
Thogyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,6,7,8,9,10,11}
Forte Number10-1
Rotational Symmetrynone
Reflection Axes4.5
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[9]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4047 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4071
Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
3rd mode:
Scale 4083
Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
4th mode:
Scale 4089
Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
5th mode:
Scale 1023
Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllianThis is the prime mode
6th mode:
Scale 2559
Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
7th mode:
Scale 3327
Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
8th mode:
Scale 3711
Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
9th mode:
Scale 3903
Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
10th mode:
Scale 3999
Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian

Prime

The prime form of this scale is Scale 1023

Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian

Complement

The decatonic modal family [4047, 4071, 4083, 4089, 1023, 2559, 3327, 3711, 3903, 3999] (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 4047 is 3711

Scale 3711Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian

Transformations:

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

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 4045Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
Scale 4043Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic
Scale 4039Scale 4039: Ionogygic, Ian Ring Music TheoryIonogygic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 4063Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
Scale 4079Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
Scale 3983Scale 3983: Thyptygic, Ian Ring Music TheoryThyptygic
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 3919Scale 3919: Lynygic, Ian Ring Music TheoryLynygic
Scale 3791Scale 3791: Stodygic, Ian Ring Music TheoryStodygic
Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
Scale 3023Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
Scale 1999Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic

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