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Scale 4087: "Aeolatic"

Scale 4087: Aeolatic, Ian Ring Music Theory

Common Names

Zeitler
Aeolatic

Analysis

Cardinality11 (undecatonic)
Pitch Class Set{0,1,2,4,5,6,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Reflection Axes3
Palindromicno
Chiralityno
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
Imperfections1
Modes10
Prime?no
prime: 2047
Deep Scaleno
Interval Vector10101010105
Interval Spectrump10m10n10s10d10t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6}
<6> = {6,7}
<7> = {7,8}
<8> = {8,9}
<9> = {9,10}
<10> = {10,11}
Spectra Variation0.909
Maximally Evenyes
Myhill Propertyyes
Balancedno
Ridge Tones[6]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4087 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4091
Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
3rd mode:
Scale 4093
Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
4th mode:
Scale 2047
Scale 2047: Monatic, Ian Ring Music TheoryMonaticThis is the prime mode
5th mode:
Scale 3071
Scale 3071: Solatic, Ian Ring Music TheorySolatic
6th mode:
Scale 3583
Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
7th mode:
Scale 3839
Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
8th mode:
Scale 3967
Scale 3967: Soratic, Ian Ring Music TheorySoratic
9th mode:
Scale 4031
Scale 4031: Godatic, Ian Ring Music TheoryGodatic
10th mode:
Scale 4063
Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
11th mode:
Scale 4079
Scale 4079: Ionatic, Ian Ring Music TheoryIonatic

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic

Complement

The undecatonic modal family [4087, 4091, 4093, 2047, 3071, 3583, 3839, 3967, 4031, 4063, 4079] (Forte: 11-1) is the complement of the modal family [1] (Forte: 1-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4087 is 3583

Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic

Transformations:

T0 4087  T0I 3583
T1 4079  T1I 3071
T2 4063  T2I 2047
T3 4031  T3I 4094
T4 3967  T4I 4093
T5 3839  T5I 4091
T6 3583  T6I 4087
T7 3071  T7I 4079
T8 2047  T8I 4063
T9 4094  T9I 4031
T10 4093  T10I 3967
T11 4091  T11I 3839

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 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 4091Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 4079Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 4023Scale 4023: Styptyllian, Ian Ring Music TheoryStyptyllian
Scale 3959Scale 3959: Katagyllian, Ian Ring Music TheoryKatagyllian
Scale 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian

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