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Scale 3831: "Ionyllian"

Scale 3831: Ionyllian, Ian Ring Music Theory

Common Names

Zeitler
Ionyllian

Analysis

Cardinality10 (decatonic)
Pitch Class Set{0,1,2,4,5,6,7,9,10,11}
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 3831 can be rotated to make 9 other scales. The 1st mode is itself.

2nd mode:
Scale 3963
Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
3rd mode:
Scale 4029
Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed
4th mode:
Scale 2031
Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
5th mode:
Scale 3063
Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
6th mode:
Scale 3579
Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
7th mode:
Scale 3837
Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
8th mode:
Scale 1983
Scale 1983: Soryllian, Ian Ring Music TheorySoryllianThis is the prime mode
9th mode:
Scale 3039
Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
10th mode:
Scale 3567
Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian

Prime

The prime form of this scale is Scale 1983

Scale 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian

Complement

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

Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian

Transformations:

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

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 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3839Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
Scale 3815Scale 3815: Galygic, Ian Ring Music TheoryGalygic
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3799Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
Scale 3767Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
Scale 3703Scale 3703: Katalygic, Ian Ring Music TheoryKatalygic
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 3319Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 2807Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
Scale 1783Scale 1783: Youlan scale, Ian Ring Music TheoryYoulan scale

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