The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1311: "Bynian"

Scale 1311: Bynian, 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
Bynian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,8,10}
Forte Number7-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3861
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 1311 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2703
Scale 2703: Galian, Ian Ring Music TheoryGalian
3rd mode:
Scale 3399
Scale 3399: Zonian, Ian Ring Music TheoryZonian
4th mode:
Scale 3747
Scale 3747: Myrian, Ian Ring Music TheoryMyrian
5th mode:
Scale 3921
Scale 3921: Pythian, Ian Ring Music TheoryPythian
6th mode:
Scale 501
Scale 501: Katylian, Ian Ring Music TheoryKatylian
7th mode:
Scale 1149
Scale 1149: Bydian, Ian Ring Music TheoryBydian

Prime

The prime form of this scale is Scale 351

Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian

Complement

The heptatonic modal family [1311, 2703, 3399, 3747, 3921, 501, 1149] (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 1311 is 3861

Scale 3861Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1311 is chiral, and its enantiomorph is scale 3861

Scale 3861Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian

Transformations:

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

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 1309Scale 1309: Pogimic, Ian Ring Music TheoryPogimic
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 1303Scale 1303: Epolimic, Ian Ring Music TheoryEpolimic
Scale 1295Scale 1295, Ian Ring Music Theory
Scale 1327Scale 1327: Zalian, Ian Ring Music TheoryZalian
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 1439Scale 1439: Rolyllic, Ian Ring Music TheoryRolyllic
Scale 1055Scale 1055, Ian Ring Music Theory
Scale 1183Scale 1183: Sadian, Ian Ring Music TheorySadian
Scale 1567Scale 1567, Ian Ring Music Theory
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
Scale 287Scale 287: Gynimic, Ian Ring Music TheoryGynimic
Scale 799Scale 799: Lolian, Ian Ring Music TheoryLolian
Scale 2335Scale 2335: Epydian, Ian Ring Music TheoryEpydian
Scale 3359Scale 3359: Bonyllic, Ian Ring Music TheoryBonyllic

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.