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Scale 3725: "Kyrian"

Scale 3725: Kyrian, 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
Kyrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,7,9,10,11}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1583
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 379
Deep Scaleno
Interval Vector444441
Interval Spectrump4m4n4s4d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation3.143
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3725 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1955
Scale 1955: Sonian, Ian Ring Music TheorySonian
3rd mode:
Scale 3025
Scale 3025: Epycrian, Ian Ring Music TheoryEpycrian
4th mode:
Scale 445
Scale 445: Gocrian, Ian Ring Music TheoryGocrian
5th mode:
Scale 1135
Scale 1135: Katolian, Ian Ring Music TheoryKatolian
6th mode:
Scale 2615
Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
7th mode:
Scale 3355
Scale 3355: Bagian, Ian Ring Music TheoryBagian

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [3725, 1955, 3025, 445, 1135, 2615, 3355] (Forte: 7-11) is the complement of the pentatonic modal family [157, 929, 1063, 2579, 3337] (Forte: 5-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3725 is 1583

Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3725 is chiral, and its enantiomorph is scale 1583

Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian

Transformations:

T0 3725  T0I 1583
T1 3355  T1I 3166
T2 2615  T2I 2237
T3 1135  T3I 379
T4 2270  T4I 758
T5 445  T5I 1516
T6 890  T6I 3032
T7 1780  T7I 1969
T8 3560  T8I 3938
T9 3025  T9I 3781
T10 1955  T10I 3467
T11 3910  T11I 2839

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 3727Scale 3727: Tholyllic, Ian Ring Music TheoryTholyllic
Scale 3721Scale 3721: Phragimic, Ian Ring Music TheoryPhragimic
Scale 3723Scale 3723: Myptian, Ian Ring Music TheoryMyptian
Scale 3717Scale 3717, Ian Ring Music Theory
Scale 3733Scale 3733: Gycrian, Ian Ring Music TheoryGycrian
Scale 3741Scale 3741: Zydyllic, Ian Ring Music TheoryZydyllic
Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 3789Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
Scale 3597Scale 3597, Ian Ring Music Theory
Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian
Scale 3853Scale 3853, Ian Ring Music Theory
Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 1677Scale 1677: Raga Manavi, Ian Ring Music TheoryRaga Manavi

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.