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Scale 3567: "Epityllian"

Scale 3567: Epityllian, Ian Ring Music Theory

Common Names

Zeitler
Epityllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,3,5,6,7,8,10,11}
Forte Number10-5
Rotational Symmetrynone
Reflection Axes0.5
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[1]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3567 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3831
Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
3rd mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
4th mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
5th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
6th mode:
Scale 3063
Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
7th mode:
Scale 3579
Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
8th mode:
Scale 3837
Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
9th mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode
10th mode:
Scale 3039
Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

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

Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian

Transformations:

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

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 3565Scale 3565: Aeolorygic, Ian Ring Music TheoryAeolorygic
Scale 3563Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
Scale 3559Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 3535Scale 3535: Mylygic, Ian Ring Music TheoryMylygic
Scale 3551Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
Scale 3503Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
Scale 3439Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
Scale 3311Scale 3311: Mixodygic, Ian Ring Music TheoryMixodygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 4079Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

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