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Scale 1143: "Styrian"

Scale 1143: Styrian, 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
Styrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,5,6,10}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3525
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.299
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♯{6,10,1}221.2
A♯{10,2,5}221.2
Minor Triadsa♯m{10,1,5}321
Augmented TriadsD+{2,6,10}231.4
Diminished Triadsa♯°{10,1,4}131.6
Parsimonious Voice Leading Between Common Triads of Scale 1143. Created by Ian Ring ©2019 D+ D+ F# F# D+->F# A# A# D+->A# a#m a#m F#->a#m a#° a#° a#°->a#m a#m->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♯, a♯m, A♯
Peripheral VerticesD+, a♯°

Modes

Modes are the rotational transformation of this scale. Scale 1143 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2619
Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
3rd mode:
Scale 3357
Scale 3357: Phrodian, Ian Ring Music TheoryPhrodian
4th mode:
Scale 1863
Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
5th mode:
Scale 2979
Scale 2979: Gyptian, Ian Ring Music TheoryGyptian
6th mode:
Scale 3537
Scale 3537: Katogian, Ian Ring Music TheoryKatogian
7th mode:
Scale 477
Scale 477: Stacrian, Ian Ring Music TheoryStacrian

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian

Complement

The heptatonic modal family [1143, 2619, 3357, 1863, 2979, 3537, 477] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1143 is 3525

Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1143 is chiral, and its enantiomorph is scale 3525

Scale 3525Scale 3525: Zocrian, Ian Ring Music TheoryZocrian

Transformations:

T0 1143  T0I 3525
T1 2286  T1I 2955
T2 477  T2I 1815
T3 954  T3I 3630
T4 1908  T4I 3165
T5 3816  T5I 2235
T6 3537  T6I 375
T7 2979  T7I 750
T8 1863  T8I 1500
T9 3726  T9I 3000
T10 3357  T10I 1905
T11 2619  T11I 3810

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 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1139Scale 1139: Aerygimic, Ian Ring Music TheoryAerygimic
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian
Scale 1151Scale 1151: Mythyllic, Ian Ring Music TheoryMythyllic
Scale 1127Scale 1127: Eparimic, Ian Ring Music TheoryEparimic
Scale 1135Scale 1135: Katolian, Ian Ring Music TheoryKatolian
Scale 1111Scale 1111: Sycrimic, Ian Ring Music TheorySycrimic
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic
Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
Scale 119Scale 119, Ian Ring Music Theory
Scale 631Scale 631: Zygian, Ian Ring Music TheoryZygian
Scale 2167Scale 2167, Ian Ring Music Theory
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic

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.