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Scale 1929: "Aeolycrimic"

Scale 1929: Aeolycrimic, 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

41161837294116105072918310504116183
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
Aeolycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,7,8,9,10}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 573
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
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 TriadsD♯{3,7,10}131.5
G♯{8,0,3}221
Minor Triadscm{0,3,7}221
Diminished Triads{9,0,3}131.5
Parsimonious Voice Leading Between Common Triads of Scale 1929. Created by Ian Ring ©2019 cm cm D# D# cm->D# G# G# cm->G# G#->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.

Diameter3
Radius2
Self-Centeredno
Central Verticescm, G♯
Peripheral VerticesD♯, a°

Modes

Modes are the rotational transformation of this scale. Scale 1929 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 753
Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
3rd mode:
Scale 303
Scale 303: Golimic, Ian Ring Music TheoryGolimicThis is the prime mode
4th mode:
Scale 2199
Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
5th mode:
Scale 3147
Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
6th mode:
Scale 3621
Scale 3621: Gylimic, Ian Ring Music TheoryGylimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [1929, 753, 303, 2199, 3147, 3621] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1929 is 573

Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1929 is chiral, and its enantiomorph is scale 573

Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic

Transformations:

T0 1929  T0I 573
T1 3858  T1I 1146
T2 3621  T2I 2292
T3 3147  T3I 489
T4 2199  T4I 978
T5 303  T5I 1956
T6 606  T6I 3912
T7 1212  T7I 3729
T8 2424  T8I 3363
T9 753  T9I 2631
T10 1506  T10I 1167
T11 3012  T11I 2334

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 1931Scale 1931: Stogian, Ian Ring Music TheoryStogian
Scale 1933Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
Scale 1921Scale 1921, Ian Ring Music Theory
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 1945Scale 1945: Zarian, Ian Ring Music TheoryZarian
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian
Scale 1993Scale 1993: Katoptian, Ian Ring Music TheoryKatoptian
Scale 1801Scale 1801, Ian Ring Music Theory
Scale 1865Scale 1865: Thagimic, Ian Ring Music TheoryThagimic
Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 905Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 3977Scale 3977: Kythian, Ian Ring Music TheoryKythian

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.