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Scale 555: "Aeolycritonic"

Scale 555: Aeolycritonic, 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
Aeolycritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,5,9}
Forte Number5-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2697
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 309
Deep Scaleno
Interval Vector122311
Interval Spectrumpm3n2s2dt
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,6,7}
<3> = {5,6,8,9}
<4> = {8,9,10,11}
Spectra Variation2.8
Maximally Evenno
Maximal Area Setno
Interior Area2.049
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 TriadsF{5,9,0}210.67
Augmented TriadsC♯+{1,5,9}121
Diminished Triads{9,0,3}121
Parsimonious Voice Leading Between Common Triads of Scale 555. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F F->a°

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.

Diameter2
Radius1
Self-Centeredno
Central VerticesF
Peripheral VerticesC♯+, a°

Modes

Modes are the rotational transformation of this scale. Scale 555 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2325
Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
3rd mode:
Scale 1605
Scale 1605: Zanitonic, Ian Ring Music TheoryZanitonic
4th mode:
Scale 1425
Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
5th mode:
Scale 345
Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic

Prime

The prime form of this scale is Scale 309

Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic

Complement

The pentatonic modal family [555, 2325, 1605, 1425, 345] (Forte: 5-26) is the complement of the heptatonic modal family [699, 1497, 1623, 1893, 2397, 2859, 3477] (Forte: 7-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 555 is 2697

Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 555 is chiral, and its enantiomorph is scale 2697

Scale 2697Scale 2697: Katagitonic, Ian Ring Music TheoryKatagitonic

Transformations:

T0 555  T0I 2697
T1 1110  T1I 1299
T2 2220  T2I 2598
T3 345  T3I 1101
T4 690  T4I 2202
T5 1380  T5I 309
T6 2760  T6I 618
T7 1425  T7I 1236
T8 2850  T8I 2472
T9 1605  T9I 849
T10 3210  T10I 1698
T11 2325  T11I 3396

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 553Scale 553: Rothic, Ian Ring Music TheoryRothic
Scale 557Scale 557: Raga Abhogi, Ian Ring Music TheoryRaga Abhogi
Scale 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric
Scale 551Scale 551: Aeoloditonic, Ian Ring Music TheoryAeoloditonic
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 523Scale 523, Ian Ring Music Theory
Scale 539Scale 539, Ian Ring Music Theory
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 811Scale 811: Radimic, Ian Ring Music TheoryRadimic
Scale 43Scale 43, Ian Ring Music Theory
Scale 299Scale 299: Raga Chitthakarshini, Ian Ring Music TheoryRaga Chitthakarshini
Scale 1067Scale 1067, Ian Ring Music Theory
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic

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.