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Scale 2985: "Epacrian"

Scale 2985: Epacrian, 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
Epacrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,7,8,9,11}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 699
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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}242
G♯{8,0,3}421.25
Minor Triadscm{0,3,7}231.75
fm{5,8,0}331.5
g♯m{8,11,3}331.5
Augmented TriadsD♯+{3,7,11}242
Diminished Triads{5,8,11}231.75
{9,0,3}231.75
Parsimonious Voice Leading Between Common Triads of Scale 2985. Created by Ian Ring ©2019 cm cm D#+ D#+ cm->D#+ G# G# cm->G# g#m g#m D#+->g#m fm fm f°->fm f°->g#m F F fm->F fm->G# F->a° g#m->G# G#->a°

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.

Diameter4
Radius2
Self-Centeredno
Central VerticesG♯
Peripheral VerticesD♯+, F

Modes

Modes are the rotational transformation of this scale. Scale 2985 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 885
Scale 885: Sathian, Ian Ring Music TheorySathian
3rd mode:
Scale 1245
Scale 1245: Lathian, Ian Ring Music TheoryLathian
4th mode:
Scale 1335
Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
5th mode:
Scale 2715
Scale 2715: Kynian, Ian Ring Music TheoryKynian
6th mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian
7th mode:
Scale 1875
Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [2985, 885, 1245, 1335, 2715, 3405, 1875] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2985 is 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2985 is chiral, and its enantiomorph is scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Transformations:

T0 2985  T0I 699
T1 1875  T1I 1398
T2 3750  T2I 2796
T3 3405  T3I 1497
T4 2715  T4I 2994
T5 1335  T5I 1893
T6 2670  T6I 3786
T7 1245  T7I 3477
T8 2490  T8I 2859
T9 885  T9I 1623
T10 1770  T10I 3246
T11 3540  T11I 2397

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 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 2977Scale 2977, Ian Ring Music Theory
Scale 2981Scale 2981: Ionolian, Ian Ring Music TheoryIonolian
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 3001Scale 3001: Lonyllic, Ian Ring Music TheoryLonyllic
Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
Scale 2969Scale 2969: Tholian, Ian Ring Music TheoryTholian
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3049Scale 3049: Phrydyllic, Ian Ring Music TheoryPhrydyllic
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 2473Scale 2473: Raga Takka, Ian Ring Music TheoryRaga Takka
Scale 3497Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 937Scale 937: Stothimic, Ian Ring Music TheoryStothimic
Scale 1961Scale 1961: Soptian, Ian Ring Music TheorySoptian

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.