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Scale 2263: "Lycrian"

Scale 2263: Lycrian, 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
Lycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,6,7,11}
Forte Number7-14
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3427
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes6
Prime?no
prime: 431
Deep Scaleno
Interval Vector443352
Interval Spectrump5m3n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
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 TriadsC{0,4,7}231.4
G{7,11,2}231.4
Minor Triadsem{4,7,11}221.2
bm{11,2,6}142
Diminished Triadsc♯°{1,4,7}142
Parsimonious Voice Leading Between Common Triads of Scale 2263. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em Parsimonious Voice Leading Between Common Triads of Scale 2263. Created by Ian Ring ©2019 G em->G bm bm G->bm

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 Verticesem
Peripheral Verticesc♯°, bm

Modes

Modes are the rotational transformation of this scale. Scale 2263 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3179
Scale 3179: Daptian, Ian Ring Music TheoryDaptian
3rd mode:
Scale 3637
Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
4th mode:
Scale 1933
Scale 1933: Mocrian, Ian Ring Music TheoryMocrian
5th mode:
Scale 1507
Scale 1507: Zynian, Ian Ring Music TheoryZynian
6th mode:
Scale 2801
Scale 2801: Zogian, Ian Ring Music TheoryZogian
7th mode:
Scale 431
Scale 431: Epyrian, Ian Ring Music TheoryEpyrianThis is the prime mode

Prime

The prime form of this scale is Scale 431

Scale 431Scale 431: Epyrian, Ian Ring Music TheoryEpyrian

Complement

The heptatonic modal family [2263, 3179, 3637, 1933, 1507, 2801, 431] (Forte: 7-14) is the complement of the pentatonic modal family [167, 901, 1249, 2131, 3113] (Forte: 5-14)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2263 is 3427

Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2263 is chiral, and its enantiomorph is scale 3427

Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian

Transformations:

T0 2263  T0I 3427
T1 431  T1I 2759
T2 862  T2I 1423
T3 1724  T3I 2846
T4 3448  T4I 1597
T5 2801  T5I 3194
T6 1507  T6I 2293
T7 3014  T7I 491
T8 1933  T8I 982
T9 3866  T9I 1964
T10 3637  T10I 3928
T11 3179  T11I 3761

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 2261Scale 2261: Raga Caturangini, Ian Ring Music TheoryRaga Caturangini
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2267Scale 2267: Padian, Ian Ring Music TheoryPadian
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian
Scale 2279Scale 2279: Dyrian, Ian Ring Music TheoryDyrian
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2391Scale 2391: Molian, Ian Ring Music TheoryMolian
Scale 2519Scale 2519: Dathyllic, Ian Ring Music TheoryDathyllic
Scale 2775Scale 2775: Godyllic, Ian Ring Music TheoryGodyllic
Scale 3287Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
Scale 215Scale 215, Ian Ring Music Theory
Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian

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.

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.