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Scale 3683: "Dycrian"

Scale 3683: Dycrian, 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
Dycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,5,6,9,10,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2255
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3683 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3889
Scale 3889: Parian, Ian Ring Music TheoryParian
3rd mode:
Scale 499
Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
4th mode:
Scale 2297
Scale 2297: Thylian, Ian Ring Music TheoryThylian
5th mode:
Scale 799
Scale 799: Lolian, Ian Ring Music TheoryLolian
6th mode:
Scale 2447
Scale 2447: Thagian, Ian Ring Music TheoryThagian
7th mode:
Scale 3271
Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [3683, 3889, 499, 2297, 799, 2447, 3271] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3683 is 2255

Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3683 is chiral, and its enantiomorph is scale 2255

Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian

Transformations:

T0 3683  T0I 2255
T1 3271  T1I 415
T2 2447  T2I 830
T3 799  T3I 1660
T4 1598  T4I 3320
T5 3196  T5I 2545
T6 2297  T6I 995
T7 499  T7I 1990
T8 998  T8I 3980
T9 1996  T9I 3865
T10 3992  T10I 3635
T11 3889  T11I 3175

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 3681Scale 3681, Ian Ring Music Theory
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 3687Scale 3687: Zonyllic, Ian Ring Music TheoryZonyllic
Scale 3691Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic
Scale 3699Scale 3699: Galyllic, Ian Ring Music TheoryGalyllic
Scale 3651Scale 3651, Ian Ring Music Theory
Scale 3667Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
Scale 3619Scale 3619: Thanimic, Ian Ring Music TheoryThanimic
Scale 3747Scale 3747: Myrian, Ian Ring Music TheoryMyrian
Scale 3811Scale 3811: Epogyllic, Ian Ring Music TheoryEpogyllic
Scale 3939Scale 3939: Dogyllic, Ian Ring Music TheoryDogyllic
Scale 3171Scale 3171: Zythimic, Ian Ring Music TheoryZythimic
Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic

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.