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Scale 3071: "Solatic"

Scale 3071: Solatic, Ian Ring Music Theory

Common Names

Zeitler
Solatic

Analysis

Cardinality11 (undecatonic)
Pitch Class Set{0,1,2,3,4,5,6,7,8,9,11}
Forte Number11-1
Rotational Symmetrynone
Reflection Axes4
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[8]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3071 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 3583
Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
3rd mode:
Scale 3839
Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
4th mode:
Scale 3967
Scale 3967: Soratic, Ian Ring Music TheorySoratic
5th mode:
Scale 4031
Scale 4031: Godatic, Ian Ring Music TheoryGodatic
6th mode:
Scale 4063
Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
7th mode:
Scale 4079
Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
8th mode:
Scale 4087
Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
9th mode:
Scale 4091
Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
10th mode:
Scale 4093
Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
11th mode:
Scale 2047
Scale 2047: Monatic, Ian Ring Music TheoryMonaticThis is the prime mode

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic

Complement

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

Scale 4091Scale 4091: Thydatic, Ian Ring Music TheoryThydatic

Transformations:

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

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 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 3067Scale 3067: Goptyllian, Ian Ring Music TheoryGoptyllian
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 3039Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 2943Scale 2943: Dathyllian, Ian Ring Music TheoryDathyllian
Scale 2815Scale 2815: Aeradyllian, Ian Ring Music TheoryAeradyllian
Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
Scale 3583Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 1023Scale 1023: Dodyllian, Ian Ring Music TheoryDodyllian
Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic

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