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Scale 2343: "Tharimic"

Scale 2343: Tharimic, 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
Tharimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,5,8,11}
Forte Number6-Z42
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes5
Prime?no
prime: 591
Deep Scaleno
Interval Vector324222
Interval Spectrump2m2n4s2d3t2
Distribution Spectra<1> = {1,3}
<2> = {2,4,6}
<3> = {3,5,7,9}
<4> = {6,8,10}
<5> = {9,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.25
Myhill Propertyno
Balancedno
Ridge Tones[1]
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 TriadsC♯{1,5,8}231.5
Minor Triadsfm{5,8,0}231.5
Diminished Triads{2,5,8}231.5
{5,8,11}231.5
g♯°{8,11,2}231.5
{11,2,5}231.5
Parsimonious Voice Leading Between Common Triads of Scale 2343. Created by Ian Ring ©2019 C# C# C#->d° fm fm C#->fm d°->b° f°->fm g#° g#° f°->g#° g#°->b°

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 2343 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3219
Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
3rd mode:
Scale 3657
Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
4th mode:
Scale 969
Scale 969: Ionogimic, Ian Ring Music TheoryIonogimic
5th mode:
Scale 633
Scale 633: Kydimic, Ian Ring Music TheoryKydimic
6th mode:
Scale 591
Scale 591: Gaptimic, Ian Ring Music TheoryGaptimicThis is the prime mode

Prime

The prime form of this scale is Scale 591

Scale 591Scale 591: Gaptimic, Ian Ring Music TheoryGaptimic

Complement

The hexatonic modal family [2343, 3219, 3657, 969, 633, 591] (Forte: 6-Z42) is the complement of the hexatonic modal family [219, 1563, 1731, 2157, 2829, 2913] (Forte: 6-Z13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2343 is 3219

Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic

Transformations:

T0 2343  T0I 3219
T1 591  T1I 2343
T2 1182  T2I 591
T3 2364  T3I 1182
T4 633  T4I 2364
T5 1266  T5I 633
T6 2532  T6I 1266
T7 969  T7I 2532
T8 1938  T8I 969
T9 3876  T9I 1938
T10 3657  T10I 3876
T11 3219  T11I 3657

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 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2347Scale 2347: Raga Viyogavarali, Ian Ring Music TheoryRaga Viyogavarali
Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2407Scale 2407: Zylian, Ian Ring Music TheoryZylian
Scale 2471Scale 2471: Mela Ganamurti, Ian Ring Music TheoryMela Ganamurti
Scale 2087Scale 2087, Ian Ring Music Theory
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2599Scale 2599: Malimic, Ian Ring Music TheoryMalimic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 3367Scale 3367: Moptian, Ian Ring Music TheoryMoptian
Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic
Scale 1319Scale 1319: Phronimic, Ian Ring Music TheoryPhronimic

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.