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Scale 2331: "Dylimic"

Scale 2331: Dylimic, 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
Dylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,8,11}
Forte Number6-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2835
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 315
Deep Scaleno
Interval Vector323430
Interval Spectrump3m4n3s2d3
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,5,7,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2331 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3213
Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
3rd mode:
Scale 1827
Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
4th mode:
Scale 2961
Scale 2961: Bygimic, Ian Ring Music TheoryBygimic
5th mode:
Scale 441
Scale 441: Thycrimic, Ian Ring Music TheoryThycrimic
6th mode:
Scale 567
Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic

Prime

The prime form of this scale is Scale 315

Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic

Complement

The hexatonic modal family [2331, 3213, 1827, 2961, 441, 567] (Forte: 6-14) is the complement of the hexatonic modal family [315, 945, 1575, 2205, 2835, 3465] (Forte: 6-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2331 is 2835

Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2331 is chiral, and its enantiomorph is scale 2835

Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic

Transformations:

T0 2331  T0I 2835
T1 567  T1I 1575
T2 1134  T2I 3150
T3 2268  T3I 2205
T4 441  T4I 315
T5 882  T5I 630
T6 1764  T6I 1260
T7 3528  T7I 2520
T8 2961  T8I 945
T9 1827  T9I 1890
T10 3654  T10I 3780
T11 3213  T11I 3465

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 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
Scale 2459Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian
Scale 2075Scale 2075, Ian Ring Music Theory
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 283Scale 283: Aerylitonic, Ian Ring Music TheoryAerylitonic
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.