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Scale 2841: "Sothimic"

Scale 2841: Sothimic, 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
Sothimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,8,9,11}
Forte Number6-Z19
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 795
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 411
Deep Scaleno
Interval Vector313431
Interval Spectrump3m4n3sd3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {3,4,5}
<3> = {4,5,6,7,8}
<4> = {7,8,9}
<5> = {8,9,10,11}
Spectra Variation2.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2841 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 867
Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic
3rd mode:
Scale 2481
Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
4th mode:
Scale 411
Scale 411: Lygimic, Ian Ring Music TheoryLygimicThis is the prime mode
5th mode:
Scale 2253
Scale 2253: Raga Amarasenapriya, Ian Ring Music TheoryRaga Amarasenapriya
6th mode:
Scale 1587
Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama

Prime

The prime form of this scale is Scale 411

Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic

Complement

The hexatonic modal family [2841, 867, 2481, 411, 2253, 1587] (Forte: 6-Z19) is the complement of the hexatonic modal family [615, 825, 915, 2355, 2505, 3225] (Forte: 6-Z44)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2841 is 795

Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2841 is chiral, and its enantiomorph is scale 795

Scale 795Scale 795: Aeologimic, Ian Ring Music TheoryAeologimic

Transformations:

T0 2841  T0I 795
T1 1587  T1I 1590
T2 3174  T2I 3180
T3 2253  T3I 2265
T4 411  T4I 435
T5 822  T5I 870
T6 1644  T6I 1740
T7 3288  T7I 3480
T8 2481  T8I 2865
T9 867  T9I 1635
T10 1734  T10I 3270
T11 3468  T11I 2445

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 2843Scale 2843: Sorian, Ian Ring Music TheorySorian
Scale 2845Scale 2845: Baptian, Ian Ring Music TheoryBaptian
Scale 2833Scale 2833: Dolitonic, Ian Ring Music TheoryDolitonic
Scale 2837Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
Scale 2825Scale 2825, Ian Ring Music Theory
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 2873Scale 2873: Ionian Augmented Sharp 2, Ian Ring Music TheoryIonian Augmented Sharp 2
Scale 2905Scale 2905: Aeolian Flat 1, Ian Ring Music TheoryAeolian Flat 1
Scale 2969Scale 2969: Tholian, Ian Ring Music TheoryTholian
Scale 2585Scale 2585, Ian Ring Music Theory
Scale 2713Scale 2713: Porimic, Ian Ring Music TheoryPorimic
Scale 2329Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic
Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
Scale 3865Scale 3865: Starian, Ian Ring Music TheoryStarian
Scale 793Scale 793: Mocritonic, Ian Ring Music TheoryMocritonic
Scale 1817Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.