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Scale 1339: "Kycrian"

Scale 1339: Kycrian, 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
Kycrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,8,10}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2965
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
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
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

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 TriadsC♯{1,5,8}331.43
G♯{8,0,3}142.14
Minor Triadsc♯m{1,4,8}321.29
fm{5,8,0}231.57
a♯m{10,1,5}241.86
Augmented TriadsC+{0,4,8}331.43
Diminished Triadsa♯°{10,1,4}231.71
Parsimonious Voice Leading Between Common Triads of Scale 1339. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m fm fm C+->fm G# G# C+->G# C# C# c#m->C# a#° a#° c#m->a#° C#->fm a#m a#m C#->a#m a#°->a#m

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.

Diameter4
Radius2
Self-Centeredno
Central Verticesc♯m
Peripheral VerticesG♯, a♯m

Modes

Modes are the rotational transformation of this scale. Scale 1339 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2717
Scale 2717: Epygian, Ian Ring Music TheoryEpygian
3rd mode:
Scale 1703
Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
4th mode:
Scale 2899
Scale 2899: Kagian, Ian Ring Music TheoryKagian
5th mode:
Scale 3497
Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
6th mode:
Scale 949
Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
7th mode:
Scale 1261
Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [1339, 2717, 1703, 2899, 3497, 949, 1261] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1339 is 2965

Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1339 is chiral, and its enantiomorph is scale 2965

Scale 2965Scale 2965: Darian, Ian Ring Music TheoryDarian

Transformations:

T0 1339  T0I 2965
T1 2678  T1I 1835
T2 1261  T2I 3670
T3 2522  T3I 3245
T4 949  T4I 2395
T5 1898  T5I 695
T6 3796  T6I 1390
T7 3497  T7I 2780
T8 2899  T8I 1465
T9 1703  T9I 2930
T10 3406  T10I 1765
T11 2717  T11I 3530

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 1337Scale 1337: Epogimic, Ian Ring Music TheoryEpogimic
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian
Scale 1343Scale 1343: Zalyllic, Ian Ring Music TheoryZalyllic
Scale 1331Scale 1331: Raga Vasantabhairavi, Ian Ring Music TheoryRaga Vasantabhairavi
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 1307Scale 1307: Katorimic, Ian Ring Music TheoryKatorimic
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 1403Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1083Scale 1083, Ian Ring Music Theory
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 827Scale 827: Mixolocrian, Ian Ring Music TheoryMixolocrian
Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
Scale 3387Scale 3387: Aeryptyllic, Ian Ring Music TheoryAeryptyllic

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.