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Scale 3475: "Kylian"

Scale 3475: Kylian, 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
Kylian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,7,8,10,11}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2359
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 623
Deep Scaleno
Interval Vector435432
Interval Spectrump3m4n5s3d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,6}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {6,8,9,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3475 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3785
Scale 3785: Epagian, Ian Ring Music TheoryEpagian
3rd mode:
Scale 985
Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
4th mode:
Scale 635
Scale 635: Epolian, Ian Ring Music TheoryEpolian
5th mode:
Scale 2365
Scale 2365: Sythian, Ian Ring Music TheorySythian
6th mode:
Scale 1615
Scale 1615: Sydian, Ian Ring Music TheorySydian
7th mode:
Scale 2855
Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [3475, 3785, 985, 635, 2365, 1615, 2855] (Forte: 7-16) is the complement of the pentatonic modal family [155, 865, 1555, 2125, 2825] (Forte: 5-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3475 is 2359

Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3475 is chiral, and its enantiomorph is scale 2359

Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian

Transformations:

T0 3475  T0I 2359
T1 2855  T1I 623
T2 1615  T2I 1246
T3 3230  T3I 2492
T4 2365  T4I 889
T5 635  T5I 1778
T6 1270  T6I 3556
T7 2540  T7I 3017
T8 985  T8I 1939
T9 1970  T9I 3878
T10 3940  T10I 3661
T11 3785  T11I 3227

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 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
Scale 3479Scale 3479: Rothyllic, Ian Ring Music TheoryRothyllic
Scale 3483Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
Scale 3459Scale 3459, Ian Ring Music Theory
Scale 3467Scale 3467: Katonian, Ian Ring Music TheoryKatonian
Scale 3491Scale 3491: Tharian, Ian Ring Music TheoryTharian
Scale 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 3539Scale 3539: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3347Scale 3347: Synimic, Ian Ring Music TheorySynimic
Scale 3411Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 3731Scale 3731: Aeryrian, Ian Ring Music TheoryAeryrian
Scale 3987Scale 3987: Loryllic, Ian Ring Music TheoryLoryllic
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2963Scale 2963: Bygian, Ian Ring Music TheoryBygian
Scale 1427Scale 1427: Lolimic, Ian Ring Music TheoryLolimic

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.