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Scale 2255: "Dylian"

Scale 2255: Dylian, 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
Dylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,6,7,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3683
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 2255 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3175
Scale 3175: Eponian, Ian Ring Music TheoryEponian
3rd mode:
Scale 3635
Scale 3635: Katygian, Ian Ring Music TheoryKatygian
4th mode:
Scale 3865
Scale 3865: Starian, Ian Ring Music TheoryStarian
5th mode:
Scale 995
Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
6th mode:
Scale 2545
Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
7th mode:
Scale 415
Scale 415: Aeoladian, Ian Ring Music TheoryAeoladianThis is the prime mode

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [2255, 3175, 3635, 3865, 995, 2545, 415] (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 2255 is 3683

Scale 3683Scale 3683: Dycrian, Ian Ring Music TheoryDycrian

Enantiomorph

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

Scale 3683Scale 3683: Dycrian, Ian Ring Music TheoryDycrian

Transformations:

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

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 2253Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
Scale 2251Scale 2251: Zodimic, Ian Ring Music TheoryZodimic
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2223Scale 2223: Konian, Ian Ring Music TheoryKonian
Scale 2127Scale 2127, Ian Ring Music Theory
Scale 2383Scale 2383: Katorian, Ian Ring Music TheoryKatorian
Scale 2511Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic
Scale 2767Scale 2767: Katydyllic, Ian Ring Music TheoryKatydyllic
Scale 3279Scale 3279: Pythyllic, Ian Ring Music TheoryPythyllic
Scale 207Scale 207, Ian Ring Music Theory
Scale 1231Scale 1231: Logian, Ian Ring Music TheoryLogian

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.