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Scale 2559: "Zogyllian"

Scale 2559: Zogyllian, Ian Ring Music Theory

Common Names

Zeitler
Zogyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,5,6,7,8,11}
Forte Number10-1
Rotational Symmetrynone
Reflection Axes3.5
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[7]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2559 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3327
Scale 3327: Madyllian, Ian Ring Music TheoryMadyllian
3rd mode:
Scale 3711
Scale 3711: Dycryllian, Ian Ring Music TheoryDycryllian
4th mode:
Scale 3903
Scale 3903: Aeogyllian, Ian Ring Music TheoryAeogyllian
5th mode:
Scale 3999
Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
6th mode:
Scale 4047
Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
7th mode:
Scale 4071
Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
8th mode:
Scale 4083
Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
9th mode:
Scale 4089
Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
10th mode:
Scale 1023
Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllianThis is the prime mode

Prime

The prime form of this scale is Scale 1023

Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian

Complement

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

Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian

Transformations:

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

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 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 2495Scale 2495: Aeolocrygic, Ian Ring Music TheoryAeolocrygic
Scale 2431Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
Scale 2303Scale 2303: Stanygic, Ian Ring Music TheoryStanygic
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic
Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 511Scale 511: Polygic, Ian Ring Music TheoryPolygic
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian

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