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Scale 2495: "Aeolocrygic"

Scale 2495: Aeolocrygic, 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
Aeolocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,5,7,8,11}
Forte Number9-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 4019
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 895
Deep Scaleno
Interval Vector767763
Interval Spectrump6m7n7s6d7t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation2.222
Maximally Evenno
Maximal Area Setno
Interior Area2.683
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}442.24
C♯{1,5,8}342.53
E{4,8,11}442.12
G{7,11,2}342.53
G♯{8,0,3}342.24
Minor Triadscm{0,3,7}342.35
c♯m{1,4,8}342.35
em{4,7,11}342.24
fm{5,8,0}342.35
g♯m{8,11,3}442.24
Augmented TriadsC+{0,4,8}542
D♯+{3,7,11}442.24
Diminished Triadsc♯°{1,4,7}252.71
{2,5,8}242.76
{5,8,11}242.59
g♯°{8,11,2}252.71
{11,2,5}242.76
Parsimonious Voice Leading Between Common Triads of Scale 2495. Created by Ian Ring ©2019 cm cm C C cm->C D#+ D#+ cm->D#+ G# G# cm->G# C+ C+ C->C+ c#° c#° C->c#° em em C->em c#m c#m C+->c#m E E C+->E fm fm C+->fm C+->G# c#°->c#m C# C# c#m->C# C#->d° C#->fm d°->b° D#+->em Parsimonious Voice Leading Between Common Triads of Scale 2495. Created by Ian Ring ©2019 G D#+->G g#m g#m D#+->g#m em->E E->f° E->g#m f°->fm g#° g#° G->g#° G->b° g#°->g#m g#m->G#

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.

Diameter5
Radius4
Self-Centeredno
Central Verticescm, C, C+, c♯m, C♯, d°, D♯+, em, E, f°, fm, G, g♯m, G♯, b°
Peripheral Verticesc♯°, g♯°

Modes

Modes are the rotational transformation of this scale. Scale 2495 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3295
Scale 3295: Phroptygic, Ian Ring Music TheoryPhroptygic
3rd mode:
Scale 3695
Scale 3695: Kodygic, Ian Ring Music TheoryKodygic
4th mode:
Scale 3895
Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
5th mode:
Scale 3995
Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
6th mode:
Scale 4045
Scale 4045: Gyptygic, Ian Ring Music TheoryGyptygic
7th mode:
Scale 2035
Scale 2035: Aerythygic, Ian Ring Music TheoryAerythygic
8th mode:
Scale 3065
Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
9th mode:
Scale 895
Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygicThis is the prime mode

Prime

The prime form of this scale is Scale 895

Scale 895Scale 895: Aeolathygic, Ian Ring Music TheoryAeolathygic

Complement

The nonatonic modal family [2495, 3295, 3695, 3895, 3995, 4045, 2035, 3065, 895] (Forte: 9-3) is the complement of the tritonic modal family [19, 769, 2057] (Forte: 3-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2495 is 4019

Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2495 is chiral, and its enantiomorph is scale 4019

Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic

Transformations:

T0 2495  T0I 4019
T1 895  T1I 3943
T2 1790  T2I 3791
T3 3580  T3I 3487
T4 3065  T4I 2879
T5 2035  T5I 1663
T6 4070  T6I 3326
T7 4045  T7I 2557
T8 3995  T8I 1019
T9 3895  T9I 2038
T10 3695  T10I 4076
T11 3295  T11I 4057

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 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic
Scale 2487Scale 2487: Dothyllic, Ian Ring Music TheoryDothyllic
Scale 2479Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
Scale 2463Scale 2463: Ionathyllic, Ian Ring Music TheoryIonathyllic
Scale 2527Scale 2527: Phradygic, Ian Ring Music TheoryPhradygic
Scale 2559Scale 2559: Zogyllian, Ian Ring Music TheoryZogyllian
Scale 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 2431Scale 2431: Gythygic, Ian Ring Music TheoryGythygic
Scale 2239Scale 2239: Dacryllic, Ian Ring Music TheoryDacryllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 3007Scale 3007: Zyryllian, Ian Ring Music TheoryZyryllian
Scale 3519Scale 3519: Raga Sindhi-Bhairavi, Ian Ring Music TheoryRaga Sindhi-Bhairavi
Scale 447Scale 447: Thyphyllic, Ian Ring Music TheoryThyphyllic
Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

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.