Scale 1519: "Locrian/Aeolian Mixed"

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

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

Cardinality	9 (nonatonic)
Pitch Class Set	{0,1,2,3,5,6,7,8,10}
Forte Number	9-9
Rotational Symmetry	none
Reflection Axes	4
Palindromic	no
Chirality	no
Hemitonia	6 (multihemitonic)
Cohemitonia	4 (multicohemitonic)
Imperfections	1
Modes	8
Prime?	yes
Deep Scale	no
Interval Vector	676683
Interval Spectrum	p⁸m⁶n⁶s⁷d⁶t³
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 Variation	1.333
Maximally Even	no
Maximal Area Set	yes
Interior Area	2.799
Myhill Property	no
Balanced	no
Ridge Tones	[8]
Propriety	Improper
Heliotonic	no

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				Zylygic
3rd mode: Scale 3451				Garygic
4th mode: Scale 3773				Raga Malgunji
5th mode: Scale 1967				Diatonic Dorian Mixed
6th mode: Scale 3031				Epithygic
7th mode: Scale 3563				Ionoptygic
8th mode: Scale 3829				Taishikicho
9th mode: Scale 1981				Houseini

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 3829

Taishikicho

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 1517				Sagyllic
Scale 1515				Phrygian/Locrian Mixed
Scale 1511				Styptyllic
Scale 1527				Aeolyrigic
Scale 1535				Mixodyllian
Scale 1487				Mothyllic
Scale 1503				Epiryllian
Scale 1455				Phrygiolian
Scale 1391				Aeradyllic
Scale 1263				Stynyllic
Scale 1775				Lyrygic
Scale 2031				Gadyllian
Scale 495				Bocryllic
Scale 1007				Epitygic
Scale 2543				Dydygic
Scale 3567				Epityllian

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.