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Scale 4091: "Thydatic"

Scale 4091: Thydatic, Ian Ring Music Theory

Common Names

Zeitler
Thydatic

Analysis

Cardinality11 (undecatonic)
Pitch Class Set{0,1,3,4,5,6,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Reflection Axes2
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[4]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4091 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4093
Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
3rd mode:
Scale 2047
Scale 2047: Monatic, Ian Ring Music TheoryMonaticThis is the prime mode
4th mode:
Scale 3071
Scale 3071: Solatic, Ian Ring Music TheorySolatic
5th mode:
Scale 3583
Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
6th mode:
Scale 3839
Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
7th mode:
Scale 3967
Scale 3967: Soratic, Ian Ring Music TheorySoratic
8th mode:
Scale 4031
Scale 4031: Godatic, Ian Ring Music TheoryGodatic
9th mode:
Scale 4063
Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
10th mode:
Scale 4079
Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
11th mode:
Scale 4087
Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic

Complement

The undecatonic modal family [4091, 4093, 2047, 3071, 3583, 3839, 3967, 4031, 4063, 4079, 4087] (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 4091 is 3071

Scale 3071Scale 3071: Solatic, Ian Ring Music TheorySolatic

Transformations:

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

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 4089Scale 4089: Katoryllian, Ian Ring Music TheoryKatoryllian
Scale 4093Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 4083Scale 4083: Bathyllian, Ian Ring Music TheoryBathyllian
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 4027Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
Scale 3963Scale 3963: Aeoryllian, Ian Ring Music TheoryAeoryllian
Scale 3835Scale 3835, Ian Ring Music Theory
Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn

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