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Scale 3579: "Zyphyllian"

Scale 3579: Zyphyllian, Ian Ring Music Theory

Common Names

Zeitler
Zyphyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,3,4,5,6,7,8,10,11}
Forte Number10-5
Rotational Symmetrynone
Reflection Axes5.5
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[11]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3579 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3837
Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
3rd mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode
4th mode:
Scale 3039
Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
5th mode:
Scale 3567
Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
6th mode:
Scale 3831
Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
7th mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
8th mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
9th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
10th mode:
Scale 3063
Scale 3063: Solyllian, Ian Ring Music TheorySolyllian

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

The decatonic modal family [3579, 3837, 1983, 3039, 3567, 3831, 3963, 4029, 2031, 3063] (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 3579 is 3063

Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian

Transformations:

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

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 3577Scale 3577: Loptygic, Ian Ring Music TheoryLoptygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian
Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 3571Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3547Scale 3547: Sadygic, Ian Ring Music TheorySadygic
Scale 3515Scale 3515: Moorish Phrygian, Ian Ring Music TheoryMoorish Phrygian
Scale 3451Scale 3451: Garygic, Ian Ring Music TheoryGarygic
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 4091Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic

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