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Scale 2667: "Byrian"

Scale 2667: Byrian, 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

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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
Byrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,6,9,11}
Forte Number7-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2763
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 747
Deep Scaleno
Interval Vector344433
Interval Spectrump3m4n4s4d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2667 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3381
Scale 3381: Katanian, Ian Ring Music TheoryKatanian
3rd mode:
Scale 1869
Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
4th mode:
Scale 1491
Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
5th mode:
Scale 2793
Scale 2793: Eporian, Ian Ring Music TheoryEporian
6th mode:
Scale 861
Scale 861: Rylian, Ian Ring Music TheoryRylian
7th mode:
Scale 1239
Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian

Prime

The prime form of this scale is Scale 747

Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian

Complement

The heptatonic modal family [2667, 3381, 1869, 1491, 2793, 861, 1239] (Forte: 7-28) is the complement of the pentatonic modal family [333, 837, 1107, 1233, 2601] (Forte: 5-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2667 is 2763

Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2667 is chiral, and its enantiomorph is scale 2763

Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi

Transformations:

T0 2667  T0I 2763
T1 1239  T1I 1431
T2 2478  T2I 2862
T3 861  T3I 1629
T4 1722  T4I 3258
T5 3444  T5I 2421
T6 2793  T6I 747
T7 1491  T7I 1494
T8 2982  T8I 2988
T9 1869  T9I 1881
T10 3738  T10I 3762
T11 3381  T11I 3429

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 2665Scale 2665: Aeradimic, Ian Ring Music TheoryAeradimic
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2671Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2663Scale 2663: Lalian, Ian Ring Music TheoryLalian
Scale 2675Scale 2675: Chromatic Lydian, Ian Ring Music TheoryChromatic Lydian
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
Scale 2923Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
Scale 2155Scale 2155, Ian Ring Music Theory
Scale 2411Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian
Scale 3691Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic
Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 1643Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6

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.