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Scale 2715: "Kynian"

Scale 2715: Kynian, 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
Kynian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,7,9,11}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2859
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2715 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian
3rd mode:
Scale 1875
Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
4th mode:
Scale 2985
Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
5th mode:
Scale 885
Scale 885: Sathian, Ian Ring Music TheorySathian
6th mode:
Scale 1245
Scale 1245: Lathian, Ian Ring Music TheoryLathian
7th mode:
Scale 1335
Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [2715, 3405, 1875, 2985, 885, 1245, 1335] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2715 is 2859

Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2715 is chiral, and its enantiomorph is scale 2859

Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian

Transformations:

T0 2715  T0I 2859
T1 1335  T1I 1623
T2 2670  T2I 3246
T3 1245  T3I 2397
T4 2490  T4I 699
T5 885  T5I 1398
T6 1770  T6I 2796
T7 3540  T7I 1497
T8 2985  T8I 2994
T9 1875  T9I 1893
T10 3750  T10I 3786
T11 3405  T11I 3477

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 2713Scale 2713: Porimic, Ian Ring Music TheoryPorimic
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2719Scale 2719: Zocryllic, Ian Ring Music TheoryZocryllic
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2459Scale 2459: Ionocrian, Ian Ring Music TheoryIonocrian
Scale 3227Scale 3227: Aeolocrian, Ian Ring Music TheoryAeolocrian
Scale 3739Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
Scale 667Scale 667: Rodimic, Ian Ring Music TheoryRodimic
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian

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.