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Scale 861: "Rylian"

Scale 861: Rylian, 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
Rylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,6,8,9}
Forte Number7-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1881
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
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 861 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1239
Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian
3rd mode:
Scale 2667
Scale 2667: Byrian, Ian Ring Music TheoryByrian
4th mode:
Scale 3381
Scale 3381: Katanian, Ian Ring Music TheoryKatanian
5th mode:
Scale 1869
Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
6th mode:
Scale 1491
Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
7th mode:
Scale 2793
Scale 2793: Eporian, Ian Ring Music TheoryEporian

Prime

The prime form of this scale is Scale 747

Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian

Complement

The heptatonic modal family [861, 1239, 2667, 3381, 1869, 1491, 2793] (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 861 is 1881

Scale 1881Scale 1881: Katorian, Ian Ring Music TheoryKatorian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 861 is chiral, and its enantiomorph is scale 1881

Scale 1881Scale 1881: Katorian, Ian Ring Music TheoryKatorian

Transformations:

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

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 863Scale 863: Pyryllic, Ian Ring Music TheoryPyryllic
Scale 857Scale 857: Aeolydimic, Ian Ring Music TheoryAeolydimic
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 845Scale 845: Raga Neelangi, Ian Ring Music TheoryRaga Neelangi
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 893Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
Scale 797Scale 797: Katocrimic, Ian Ring Music TheoryKatocrimic
Scale 829Scale 829: Lygian, Ian Ring Music TheoryLygian
Scale 925Scale 925: Chromatic Hypodorian, Ian Ring Music TheoryChromatic Hypodorian
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic
Scale 733Scale 733: Donian, Ian Ring Music TheoryDonian
Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic

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.