The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3581: "Epocryllian"

Scale 3581: Epocryllian, Ian Ring Music Theory

Common Names

Zeitler
Epocryllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,10,11}
Forte Number10-4
Rotational Symmetrynone
Reflection Axes5
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[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3581 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 1919
Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllianThis is the prime mode
3rd mode:
Scale 3007
Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
4th mode:
Scale 3551
Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
5th mode:
Scale 3823
Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
6th mode:
Scale 3959
Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
7th mode:
Scale 4027
Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
8th mode:
Scale 4061
Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
9th mode:
Scale 2039
Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
10th mode:
Scale 3067
Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian

Prime

The prime form of this scale is Scale 1919

Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian

Complement

The decatonic modal family [3581, 1919, 3007, 3551, 3823, 3959, 4027, 4061, 2039, 3067] (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 3581 is 2039

Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian

Transformations:

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

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 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse
Scale 3517Scale 3517: Epocrygic, Ian Ring Music TheoryEpocrygic
Scale 3453Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
Scale 3325Scale 3325: Mixolygic, Ian Ring Music TheoryMixolygic
Scale 3837Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
Scale 4093Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic

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