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Scale 2279: "Dyrian"

Scale 2279: Dyrian, 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
Dyrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,5,6,7,11}
Forte Number7-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3299
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections2
Modes6
Prime?no
prime: 463
Deep Scaleno
Interval Vector532353
Interval Spectrump5m3n2s3d5t3
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6}
<4> = {6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.183
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 TriadsG{7,11,2}121
Minor Triadsbm{11,2,6}210.67
Diminished Triads{11,2,5}121
Parsimonious Voice Leading Between Common Triads of Scale 2279. Created by Ian Ring ©2019 Parsimonious Voice Leading Between Common Triads of Scale 2279. Created by Ian Ring ©2019 G bm bm G->bm b°->bm

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.

Diameter2
Radius1
Self-Centeredno
Central Verticesbm
Peripheral VerticesG, b°

Modes

Modes are the rotational transformation of this scale. Scale 2279 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3187
Scale 3187: Koptian, Ian Ring Music TheoryKoptian
3rd mode:
Scale 3641
Scale 3641: Thocrian, Ian Ring Music TheoryThocrian
4th mode:
Scale 967
Scale 967: Mela Salaga, Ian Ring Music TheoryMela Salaga
5th mode:
Scale 2531
Scale 2531: Danian, Ian Ring Music TheoryDanian
6th mode:
Scale 3313
Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian
7th mode:
Scale 463
Scale 463: Zythian, Ian Ring Music TheoryZythianThis is the prime mode

Prime

The prime form of this scale is Scale 463

Scale 463Scale 463: Zythian, Ian Ring Music TheoryZythian

Complement

The heptatonic modal family [2279, 3187, 3641, 967, 2531, 3313, 463] (Forte: 7-7) is the complement of the pentatonic modal family [199, 451, 2147, 2273, 3121] (Forte: 5-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2279 is 3299

Scale 3299Scale 3299: Syptian, Ian Ring Music TheorySyptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2279 is chiral, and its enantiomorph is scale 3299

Scale 3299Scale 3299: Syptian, Ian Ring Music TheorySyptian

Transformations:

T0 2279  T0I 3299
T1 463  T1I 2503
T2 926  T2I 911
T3 1852  T3I 1822
T4 3704  T4I 3644
T5 3313  T5I 3193
T6 2531  T6I 2291
T7 967  T7I 487
T8 1934  T8I 974
T9 3868  T9I 1948
T10 3641  T10I 3896
T11 3187  T11I 3697

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 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2275Scale 2275: Messiaen Mode 5, Ian Ring Music TheoryMessiaen Mode 5
Scale 2283Scale 2283: Aeolyptian, Ian Ring Music TheoryAeolyptian
Scale 2287Scale 2287: Lodyllic, Ian Ring Music TheoryLodyllic
Scale 2295Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2263Scale 2263: Lycrian, Ian Ring Music TheoryLycrian
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2151Scale 2151, Ian Ring Music Theory
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 3303Scale 3303: Mylyllic, Ian Ring Music TheoryMylyllic
Scale 231Scale 231, Ian Ring Music Theory
Scale 1255Scale 1255: Chromatic Mixolydian, Ian Ring Music TheoryChromatic Mixolydian

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. Special thanks to Richard Repp for helping with technical accuracy.