The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 4027: "Ragyllian"

Scale 4027: Ragyllian, Ian Ring Music Theory

Common Names

Zeitler
Ragyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,3,4,5,7,8,9,10,11}
Forte Number10-4
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections2
Modes9
Prime?no
prime: 1919
Deep Scaleno
Interval Vector888984
Interval Spectrump8m9n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5,6}
<5> = {5,6,7}
<6> = {6,7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1.2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[8]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4027 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 4061
Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
3rd mode:
Scale 2039
Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
4th mode:
Scale 3067
Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
5th mode:
Scale 3581
Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
6th mode:
Scale 1919
Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllianThis is the prime mode
7th mode:
Scale 3007
Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
8th mode:
Scale 3551
Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
9th mode:
Scale 3823
Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
10th mode:
Scale 3959
Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian

Prime

The prime form of this scale is Scale 1919

Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian

Complement

The decatonic modal family [4027, 4061, 2039, 3067, 3581, 1919, 3007, 3551, 3823, 3959] (Forte: 10-4) is the complement of the modal family [17, 257] (Forte: 2-4)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4027 is 3007

Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian

Transformations:

T0 4027  T0I 3007
T1 3959  T1I 1919
T2 3823  T2I 3838
T3 3551  T3I 3581
T4 3007  T4I 3067
T5 1919  T5I 2039
T6 3838  T6I 4078
T7 3581  T7I 4061
T8 3067  T8I 4027
T9 2039  T9I 3959
T10 4078  T10I 3823
T11 4061  T11I 3551

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 4025Scale 4025: Kalygic, Ian Ring Music TheoryKalygic
Scale 4029Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
Scale 4031Scale 4031: Godatic, Ian Ring Music TheoryGodatic
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 4023Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
Scale 4011Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic
Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 4091Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
Scale 3899Scale 3899: Katorygic, Ian Ring Music TheoryKatorygic
Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 1979Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic

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