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Scale 2839: "Lyptian"

Scale 2839: Lyptian, 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
Lyptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,8,9,11}
Forte Number7-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3355
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
Maximal Area Setno
Interior Area2.299
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}231.5
A{9,1,4}241.83
Minor Triadsc♯m{1,4,8}231.5
am{9,0,4}231.5
Augmented TriadsC+{0,4,8}321.17
Diminished Triadsg♯°{8,11,2}142.17
Parsimonious Voice Leading Between Common Triads of Scale 2839. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E am am C+->am A A c#m->A g#° g#° E->g#° 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.

Diameter4
Radius2
Self-Centeredno
Central VerticesC+
Peripheral Verticesg♯°, A

Modes

Modes are the rotational transformation of this scale. Scale 2839 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3467
Scale 3467: Katonian, Ian Ring Music TheoryKatonian
3rd mode:
Scale 3781
Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
4th mode:
Scale 1969
Scale 1969: Stylian, Ian Ring Music TheoryStylian
5th mode:
Scale 379
Scale 379: Aeragian, Ian Ring Music TheoryAeragianThis is the prime mode
6th mode:
Scale 2237
Scale 2237: Epothian, Ian Ring Music TheoryEpothian
7th mode:
Scale 1583
Scale 1583: Salian, Ian Ring Music TheorySalian

Prime

The prime form of this scale is Scale 379

Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian

Complement

The heptatonic modal family [2839, 3467, 3781, 1969, 379, 2237, 1583] (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 2839 is 3355

Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2839 is chiral, and its enantiomorph is scale 3355

Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian

Transformations:

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

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 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2823Scale 2823, Ian Ring Music Theory
Scale 2831Scale 2831, Ian Ring Music Theory
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2967Scale 2967: Madyllic, Ian Ring Music TheoryMadyllic
Scale 2583Scale 2583, Ian Ring Music Theory
Scale 2711Scale 2711: Stolian, Ian Ring Music TheoryStolian
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 3351Scale 3351: Karian, Ian Ring Music TheoryKarian
Scale 3863Scale 3863: Eparyllic, Ian Ring Music TheoryEparyllic
Scale 791Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian

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.