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Scale 747: "Lynian"

Scale 747: Lynian, 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
Lynian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,6,7,9}
Forte Number7-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2793
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?yes
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 747 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2421
Scale 2421: Malian, Ian Ring Music TheoryMalian
3rd mode:
Scale 1629
Scale 1629: Synian, Ian Ring Music TheorySynian
4th mode:
Scale 1431
Scale 1431: Phragian, Ian Ring Music TheoryPhragian
5th mode:
Scale 2763
Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
6th mode:
Scale 3429
Scale 3429: Marian, Ian Ring Music TheoryMarian
7th mode:
Scale 1881
Scale 1881: Katorian, Ian Ring Music TheoryKatorian

Prime

This is the prime form of this scale.

Complement

The heptatonic modal family [747, 2421, 1629, 1431, 2763, 3429, 1881] (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 747 is 2793

Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 747 is chiral, and its enantiomorph is scale 2793

Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian

Transformations:

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

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 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 749Scale 749: Aeologian, Ian Ring Music TheoryAeologian
Scale 751Scale 751, Ian Ring Music Theory
Scale 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 743Scale 743: Chromatic Hypophrygian Inverse, Ian Ring Music TheoryChromatic Hypophrygian Inverse
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 715Scale 715: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 619Scale 619: Double-Phrygian Hexatonic, Ian Ring Music TheoryDouble-Phrygian Hexatonic
Scale 875Scale 875: Locrian Double-flat 7, Ian Ring Music TheoryLocrian Double-flat 7
Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic
Scale 235Scale 235, Ian Ring Music Theory
Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 2795Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic

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.