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Scale 1149: "Bydian"

Scale 1149: Bydian, 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
Bydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,6,10}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1989
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes6
Prime?no
prime: 351
Deep Scaleno
Interval Vector453432
Interval Spectrump3m4n3s5d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {3,4,5,6,7,8}
<4> = {4,5,6,7,8,9}
<5> = {6,7,8,9,10}
<6> = {8,10,11}
Spectra Variation3.429
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1149 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1311
Scale 1311: Bynian, Ian Ring Music TheoryBynian
3rd mode:
Scale 2703
Scale 2703: Galian, Ian Ring Music TheoryGalian
4th mode:
Scale 3399
Scale 3399: Zonian, Ian Ring Music TheoryZonian
5th mode:
Scale 3747
Scale 3747: Myrian, Ian Ring Music TheoryMyrian
6th mode:
Scale 3921
Scale 3921: Pythian, Ian Ring Music TheoryPythian
7th mode:
Scale 501
Scale 501: Katylian, Ian Ring Music TheoryKatylian

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian

Complement

The heptatonic modal family [1149, 1311, 2703, 3399, 3747, 3921, 501] (Forte: 7-9) is the complement of the pentatonic modal family [87, 1473, 1797, 2091, 3093] (Forte: 5-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1149 is 1989

Scale 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1149 is chiral, and its enantiomorph is scale 1989

Scale 1989Scale 1989: Dydian, Ian Ring Music TheoryDydian

Transformations:

T0 1149  T0I 1989
T1 2298  T1I 3978
T2 501  T2I 3861
T3 1002  T3I 3627
T4 2004  T4I 3159
T5 4008  T5I 2223
T6 3921  T6I 351
T7 3747  T7I 702
T8 3399  T8I 1404
T9 2703  T9I 2808
T10 1311  T10I 1521
T11 2622  T11I 3042

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 1151Scale 1151: Mythyllic, Ian Ring Music TheoryMythyllic
Scale 1145Scale 1145: Zygimic, Ian Ring Music TheoryZygimic
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1133Scale 1133: Stycrimic, Ian Ring Music TheoryStycrimic
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic
Scale 1085Scale 1085, Ian Ring Music Theory
Scale 1213Scale 1213: Gyrian, Ian Ring Music TheoryGyrian
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
Scale 1661Scale 1661: Gonyllic, Ian Ring Music TheoryGonyllic
Scale 125Scale 125, Ian Ring Music Theory
Scale 637Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic

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.