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Scale 3711: "Dycryllian"

Scale 3711: Dycryllian, Ian Ring Music Theory

Common Names

Zeitler
Dycryllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,5,6,9,10,11}
Forte Number10-1
Rotational Symmetrynone
Reflection Axes1.5
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[3]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3711 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3903
Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
3rd mode:
Scale 3999
Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
4th mode:
Scale 4047
Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
5th mode:
Scale 4071
Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
6th mode:
Scale 4083
Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
7th mode:
Scale 4089
Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
8th mode:
Scale 1023
Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllianThis is the prime mode
9th mode:
Scale 2559
Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
10th mode:
Scale 3327
Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian

Prime

The prime form of this scale is Scale 1023

Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian

Complement

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

Scale 4047Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian

Transformations:

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

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 3709Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
Scale 3707Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
Scale 3703Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
Scale 3695Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
Scale 3679Scale 3679: Rycrygic, Ian Ring Music TheoryRycrygic
Scale 3647Scale 3647: Eporygic, Ian Ring Music TheoryEporygic
Scale 3775Scale 3775: Loptyllian, Ian Ring Music TheoryLoptyllian
Scale 3839Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
Scale 3967Scale 3967: Soratic, Ian Ring Music TheorySoratic
Scale 3199Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
Scale 3455Scale 3455: Ryptyllian, Ian Ring Music TheoryRyptyllian
Scale 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
Scale 1663Scale 1663: Lydygic, Ian Ring Music TheoryLydygic

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