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Scale 571: "Kynimic"

Scale 571: Kynimic, 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
Kynimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,5,9}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2953
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 311
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsF{5,9,0}221.2
A{9,1,4}221.2
Minor Triadsam{9,0,4}321
Augmented TriadsC♯+{1,5,9}231.4
Diminished Triads{9,0,3}131.6
Parsimonious Voice Leading Between Common Triads of Scale 571. Created by Ian Ring ©2019 C#+ C#+ F F C#+->F A A C#+->A am am F->am a°->am am->A

view full size

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius2
Self-Centeredno
Central VerticesF, am, A
Peripheral VerticesC♯+, a°

Modes

Modes are the rotational transformation of this scale. Scale 571 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2333
Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
3rd mode:
Scale 1607
Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
4th mode:
Scale 2851
Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
5th mode:
Scale 3473
Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
6th mode:
Scale 473
Scale 473: Aeralimic, Ian Ring Music TheoryAeralimic

Prime

The prime form of this scale is Scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Complement

The hexatonic modal family [571, 2333, 1607, 2851, 3473, 473] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 571 is 2953

Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 571 is chiral, and its enantiomorph is scale 2953

Scale 2953Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic

Transformations:

T0 571  T0I 2953
T1 1142  T1I 1811
T2 2284  T2I 3622
T3 473  T3I 3149
T4 946  T4I 2203
T5 1892  T5I 311
T6 3784  T6I 622
T7 3473  T7I 1244
T8 2851  T8I 2488
T9 1607  T9I 881
T10 3214  T10I 1762
T11 2333  T11I 3524

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 569Scale 569: Mothitonic, Ian Ring Music TheoryMothitonic
Scale 573Scale 573: Saptimic, Ian Ring Music TheorySaptimic
Scale 575Scale 575: Ionydian, Ian Ring Music TheoryIonydian
Scale 563Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
Scale 567Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic
Scale 555Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
Scale 539Scale 539, Ian Ring Music Theory
Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic
Scale 635Scale 635: Epolian, Ian Ring Music TheoryEpolian
Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian
Scale 827Scale 827: Mixolocrian, Ian Ring Music TheoryMixolocrian
Scale 59Scale 59, Ian Ring Music Theory
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 1083Scale 1083, Ian Ring Music Theory
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.