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Scale 1527: "Aeolyrigic"

Scale 1527: Aeolyrigic, 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

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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

Zeitler
Aeolyrigic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,4,5,6,7,8,10}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3573
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tonesnone
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{0,4,7}342.47
C♯{1,5,8}442.07
F♯{6,10,1}342.33
A♯{10,2,5}342.33
Minor Triadsc♯m{1,4,8}442.2
fm{5,8,0}242.47
gm{7,10,2}342.47
a♯m{10,1,5}442.07
Augmented TriadsC+{0,4,8}342.4
D+{2,6,10}342.4
Diminished Triadsc♯°{1,4,7}242.53
{2,5,8}242.47
{4,7,10}242.53
{7,10,1}242.67
a♯°{10,1,4}242.33
Parsimonious Voice Leading Between Common Triads of Scale 1527. Created by Ian Ring ©2019 C C C+ C+ C->C+ c#° c#° C->c#° C->e° c#m c#m C+->c#m fm fm C+->fm c#°->c#m C# C# c#m->C# a#° a#° c#m->a#° C#->d° C#->fm a#m a#m C#->a#m A# A# d°->A# D+ D+ F# F# D+->F# gm gm D+->gm D+->A# e°->gm F#->g° F#->a#m g°->gm a#°->a#m a#m->A#

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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 1527 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2811
Scale 2811: Barygic, Ian Ring Music TheoryBarygic
3rd mode:
Scale 3453
Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic
4th mode:
Scale 1887
Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
5th mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
6th mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
7th mode:
Scale 3819
Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
8th mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic
9th mode:
Scale 2013
Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [1527, 2811, 3453, 1887, 2991, 3543, 3819, 3957, 2013] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1527 is 3573

Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1527 is chiral, and its enantiomorph is scale 3573

Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic

Transformations:

T0 1527  T0I 3573
T1 3054  T1I 3051
T2 2013  T2I 2007
T3 4026  T3I 4014
T4 3957  T4I 3933
T5 3819  T5I 3771
T6 3543  T6I 3447
T7 2991  T7I 2799
T8 1887  T8I 1503
T9 3774  T9I 3006
T10 3453  T10I 1917
T11 2811  T11I 3834

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 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 1511Scale 1511: Styptyllic, Ian Ring Music TheoryStyptyllic
Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed
Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6
Scale 1463Scale 1463, Ian Ring Music Theory
Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1783Scale 1783: Youlan Scale, Ian Ring Music TheoryYoulan Scale
Scale 2039Scale 2039: Danyllian, Ian Ring Music TheoryDanyllian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 1015Scale 1015: Ionodygic, Ian Ring Music TheoryIonodygic
Scale 2551Scale 2551: Thocrygic, Ian Ring Music TheoryThocrygic
Scale 3575Scale 3575: Symmetrical Decatonic, Ian Ring Music TheorySymmetrical Decatonic

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.