The Exciting Universe Of Music Theory

more than you ever wanted to know about...

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

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



Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,6,7,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3683
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
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
Ridge Tonesnone

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 TriadsG{7,11,2}231.5
Minor Triadscm{0,3,7}231.5
Augmented TriadsD♯+{3,7,11}321.17
Diminished Triads{0,3,6}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2255. Created by Ian Ring ©2019 cm cm c°->cm B B c°->B D#+ D#+ cm->D#+ Parsimonious Voice Leading Between Common Triads of Scale 2255. Created by Ian Ring ©2019 G D#+->G D#+->B bm bm G->bm bm->B

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.

Central VerticesD♯+, B
Peripheral Verticesc°, cm, G, bm


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


The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian


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)


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


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


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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler ( 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.