The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2843: "Sorian"

Scale 2843: Sorian, 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
Sorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,8,9,11}
Forte Number7-Z37
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 443
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.299
Myhill Propertyno
Balancedno
Ridge Tones[0]
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}231.75
G♯{8,0,3}331.5
A{9,1,4}242
Minor Triadsc♯m{1,4,8}231.75
g♯m{8,11,3}242
am{9,0,4}331.5
Augmented TriadsC+{0,4,8}421.25
Diminished Triads{9,0,3}231.75
Parsimonious Voice Leading Between Common Triads of Scale 2843. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m E E C+->E G# G# C+->G# am am C+->am A A c#m->A g#m g#m E->g#m g#m->G# G#->a° 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.

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

Modes

Modes are the rotational transformation of this scale. Scale 2843 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3469
Scale 3469: Monian, Ian Ring Music TheoryMonian
3rd mode:
Scale 1891
Scale 1891: Thalian, Ian Ring Music TheoryThalian
4th mode:
Scale 2993
Scale 2993: Stythian, Ian Ring Music TheoryStythian
5th mode:
Scale 443
Scale 443: Kothian, Ian Ring Music TheoryKothianThis is the prime mode
6th mode:
Scale 2269
Scale 2269: Pygian, Ian Ring Music TheoryPygian
7th mode:
Scale 1591
Scale 1591: Rodian, Ian Ring Music TheoryRodian

Prime

The prime form of this scale is Scale 443

Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian

Complement

The heptatonic modal family [2843, 3469, 1891, 2993, 443, 2269, 1591] (Forte: 7-Z37) is the complement of the pentatonic modal family [313, 551, 913, 2323, 3209] (Forte: 5-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2843 is itself, because it is a palindromic scale!

Scale 2843Scale 2843: Sorian, Ian Ring Music TheorySorian

Transformations:

T0 2843  T0I 2843
T1 1591  T1I 1591
T2 3182  T2I 3182
T3 2269  T3I 2269
T4 443  T4I 443
T5 886  T5I 886
T6 1772  T6I 1772
T7 3544  T7I 3544
T8 2993  T8I 2993
T9 1891  T9I 1891
T10 3782  T10I 3782
T11 3469  T11I 3469

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 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2847Scale 2847: Phracryllic, Ian Ring Music TheoryPhracryllic
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 2839Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2907Scale 2907: Magen Abot 2, Ian Ring Music TheoryMagen Abot 2
Scale 2971Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 2331Scale 2331: Dylimic, Ian Ring Music TheoryDylimic
Scale 3355Scale 3355: Bagian, Ian Ring Music TheoryBagian
Scale 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic
Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian

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.