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Scale 1519: "Locrian/Aeolian Mixed"

Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Western Mixed
Locrian/Aeolian Mixed
Zeitler
Solygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,5,6,7,8,10}
Forte Number9-9
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections1
Modes8
Prime?yes
Deep Scaleno
Interval Vector676683
Interval Spectrump8m6n6s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.333
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC♯{1,5,8}342.43
D♯{3,7,10}342.29
F♯{6,10,1}342.21
G♯{8,0,3}242.57
A♯{10,2,5}342.21
Minor Triadscm{0,3,7}342.43
d♯m{3,6,10}342.21
fm{5,8,0}242.57
gm{7,10,2}342.21
a♯m{10,1,5}342.29
Augmented TriadsD+{2,6,10}442
Diminished Triads{0,3,6}242.57
{2,5,8}242.57
{7,10,1}242.57
Parsimonious Voice Leading Between Common Triads of Scale 1519. Created by Ian Ring ©2019 cm cm c°->cm d#m d#m c°->d#m D# D# cm->D# G# G# cm->G# C# C# C#->d° fm fm C#->fm a#m a#m C#->a#m A# A# d°->A# D+ D+ D+->d#m F# F# D+->F# gm gm D+->gm D+->A# d#m->D# D#->gm fm->G# F#->g° F#->a#m g°->gm a#m->A#

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1519 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2807
Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
3rd mode:
Scale 3451
Scale 3451: Garygic, Ian Ring Music TheoryGarygic
4th mode:
Scale 3773
Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
5th mode:
Scale 1967
Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
6th mode:
Scale 3031
Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
7th mode:
Scale 3563
Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
8th mode:
Scale 3829
Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho
9th mode:
Scale 1981
Scale 1981: Houseini, Ian Ring Music TheoryHouseini

Prime

This is the prime form of this scale.

Complement

The nonatonic modal family [1519, 2807, 3451, 3773, 1967, 3031, 3563, 3829, 1981] (Forte: 9-9) is the complement of the tritonic modal family [133, 161, 1057] (Forte: 3-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1519 is 3829

Scale 3829Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho

Transformations:

T0 1519  T0I 3829
T1 3038  T1I 3563
T2 1981  T2I 3031
T3 3962  T3I 1967
T4 3829  T4I 3934
T5 3563  T5I 3773
T6 3031  T6I 3451
T7 1967  T7I 2807
T8 3934  T8I 1519
T9 3773  T9I 3038
T10 3451  T10I 1981
T11 2807  T11I 3962

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 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1515Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 1487Scale 1487: Mothyllic, Ian Ring Music TheoryMothyllic
Scale 1503Scale 1503: Padygic, Ian Ring Music TheoryPadygic
Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic
Scale 1263Scale 1263: Stynyllic, Ian Ring Music TheoryStynyllic
Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian
Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic
Scale 1007Scale 1007: Epitygic, Ian Ring Music TheoryEpitygic
Scale 2543Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.