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Scale 473: "Aeralimic"

Scale 473: Aeralimic, 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
Aeralimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,6,7,8}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 881
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 311
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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}221.2
G♯{8,0,3}221.2
Minor Triadscm{0,3,7}321
Augmented TriadsC+{0,4,8}231.4
Diminished Triads{0,3,6}131.6
Parsimonious Voice Leading Between Common Triads of Scale 473. Created by Ian Ring ©2019 cm cm c°->cm C C cm->C G# G# cm->G# C+ C+ C->C+ C+->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.

Diameter3
Radius2
Self-Centeredno
Central Verticescm, C, G♯
Peripheral Verticesc°, C+

Modes

Modes are the rotational transformation of this scale. Scale 473 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 571
Scale 571: Kynimic, Ian Ring Music TheoryKynimic
3rd mode:
Scale 2333
Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
4th mode:
Scale 1607
Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
5th mode:
Scale 2851
Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
6th mode:
Scale 3473
Scale 3473: Lathimic, Ian Ring Music TheoryLathimic

Prime

The prime form of this scale is Scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Complement

The hexatonic modal family [473, 571, 2333, 1607, 2851, 3473] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 473 is 881

Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 473 is chiral, and its enantiomorph is scale 881

Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic

Transformations:

T0 473  T0I 881
T1 946  T1I 1762
T2 1892  T2I 3524
T3 3784  T3I 2953
T4 3473  T4I 1811
T5 2851  T5I 3622
T6 1607  T6I 3149
T7 3214  T7I 2203
T8 2333  T8I 311
T9 571  T9I 622
T10 1142  T10I 1244
T11 2284  T11I 2488

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 475Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
Scale 477Scale 477: Stacrian, Ian Ring Music TheoryStacrian
Scale 465Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic
Scale 489Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian
Scale 409Scale 409: Laritonic, Ian Ring Music TheoryLaritonic
Scale 441Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
Scale 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
Scale 217Scale 217, Ian Ring Music Theory
Scale 729Scale 729: Stygimic, Ian Ring Music TheoryStygimic
Scale 985Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 2521Scale 2521: Mela Dhatuvardhani, Ian Ring Music TheoryMela Dhatuvardhani

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.