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Scale 2365: "Sythian"

Scale 2365: Sythian, 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
Sythian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,4,5,8,11}
Forte Number7-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1939
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
Maximal Area Setno
Interior Area2.433
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 TriadsE{4,8,11}331.67
G♯{8,0,3}231.89
Minor Triadsfm{5,8,0}331.67
g♯m{8,11,3}331.67
Augmented TriadsC+{0,4,8}331.67
Diminished Triads{2,5,8}231.89
{5,8,11}231.89
g♯°{8,11,2}231.89
{11,2,5}232
Parsimonious Voice Leading Between Common Triads of Scale 2365. Created by Ian Ring ©2019 C+ C+ E E C+->E fm fm C+->fm G# G# C+->G# d°->fm d°->b° E->f° g#m g#m E->g#m f°->fm g#° g#° g#°->g#m g#°->b° g#m->G#

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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2365 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1615
Scale 1615: Sydian, Ian Ring Music TheorySydian
3rd mode:
Scale 2855
Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
4th mode:
Scale 3475
Scale 3475: Kylian, Ian Ring Music TheoryKylian
5th mode:
Scale 3785
Scale 3785: Epagian, Ian Ring Music TheoryEpagian
6th mode:
Scale 985
Scale 985: Mela Sucaritra, Ian Ring Music TheoryMela Sucaritra
7th mode:
Scale 635
Scale 635: Epolian, Ian Ring Music TheoryEpolian

Prime

The prime form of this scale is Scale 623

Scale 623Scale 623: Sycrian, Ian Ring Music TheorySycrian

Complement

The heptatonic modal family [2365, 1615, 2855, 3475, 3785, 985, 635] (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 2365 is 1939

Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2365 is chiral, and its enantiomorph is scale 1939

Scale 1939Scale 1939: Dathian, Ian Ring Music TheoryDathian

Transformations:

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

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 2367Scale 2367: Laryllic, Ian Ring Music TheoryLaryllic
Scale 2361Scale 2361: Docrimic, Ian Ring Music TheoryDocrimic
Scale 2363Scale 2363: Kataptian, Ian Ring Music TheoryKataptian
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 2429Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
Scale 2493Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2237Scale 2237: Epothian, Ian Ring Music TheoryEpothian
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2877Scale 2877: Phrylyllic, Ian Ring Music TheoryPhrylyllic
Scale 3389Scale 3389: Socryllic, Ian Ring Music TheorySocryllic
Scale 317Scale 317: Korimic, Ian Ring Music TheoryKorimic
Scale 1341Scale 1341: Madian, Ian Ring Music TheoryMadian

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