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Scale 3039: "Godyllian"

Scale 3039: Godyllian, Ian Ring Music Theory

Common Names

Zeitler
Godyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,4,6,7,8,9,11}
Forte Number10-5
Rotational Symmetrynone
Reflection Axes1.5
Palindromicno
Chiralityno
Hemitonia8 (multihemitonic)
Cohemitonia6 (multicohemitonic)
Imperfections1
Modes9
Prime?no
prime: 1983
Deep Scaleno
Interval Vector888894
Interval Spectrump9m8n8s8d8t4
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6,7}
<6> = {7,8}
<7> = {8,9}
<8> = {9,10}
<9> = {10,11}
Spectra Variation1
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[3]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3039 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3567
Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
3rd mode:
Scale 3831
Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
4th mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
5th mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
6th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
7th mode:
Scale 3063
Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
8th mode:
Scale 3579
Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
9th mode:
Scale 3837
Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
10th mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

The decatonic modal family [3039, 3567, 3831, 3963, 4029, 2031, 3063, 3579, 3837, 1983] (Forte: 10-5) is the complement of the modal family [33, 129] (Forte: 2-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3039 is 3963

Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian

Transformations:

T0 3039  T0I 3963
T1 1983  T1I 3831
T2 3966  T2I 3567
T3 3837  T3I 3039
T4 3579  T4I 1983
T5 3063  T5I 3966
T6 2031  T6I 3837
T7 4062  T7I 3579
T8 4029  T8I 3063
T9 3963  T9I 2031
T10 3831  T10I 4062
T11 3567  T11I 4029

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 3037Scale 3037: Nine Tone Scale, Ian Ring Music TheoryNine Tone Scale
Scale 3035Scale 3035: Gocrygic, Ian Ring Music TheoryGocrygic
Scale 3031Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
Scale 3023Scale 3023: Mothygic, Ian Ring Music TheoryMothygic
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic
Scale 2975Scale 2975: Aeroptygic, Ian Ring Music TheoryAeroptygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 2783Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 3551Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
Scale 4063Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic
Scale 2015Scale 2015: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7

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