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Scale 343: "Ionorimic"

Scale 343: Ionorimic, 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
Ionorimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,6,8}
Forte Number6-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3409
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?yes
Deep Scaleno
Interval Vector241422
Interval Spectrump2m4ns4d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9,10}
<5> = {8,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.232
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
Minor Triadsc♯m{1,4,8}110.5
Augmented TriadsC+{0,4,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 343. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m

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.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 343 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2219
Scale 2219: Phrydimic, Ian Ring Music TheoryPhrydimic
3rd mode:
Scale 3157
Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
4th mode:
Scale 1813
Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
5th mode:
Scale 1477
Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam
6th mode:
Scale 1393
Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [343, 2219, 3157, 1813, 1477, 1393] (Forte: 6-22) is the complement of the hexatonic modal family [343, 1393, 1477, 1813, 2219, 3157] (Forte: 6-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 343 is 3409

Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 343 is chiral, and its enantiomorph is scale 3409

Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic

Transformations:

T0 343  T0I 3409
T1 686  T1I 2723
T2 1372  T2I 1351
T3 2744  T3I 2702
T4 1393  T4I 1309
T5 2786  T5I 2618
T6 1477  T6I 1141
T7 2954  T7I 2282
T8 1813  T8I 469
T9 3626  T9I 938
T10 3157  T10I 1876
T11 2219  T11I 3752

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 341Scale 341: Bothitonic, Ian Ring Music TheoryBothitonic
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 347Scale 347: Barimic, Ian Ring Music TheoryBarimic
Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 359Scale 359: Bothimic, Ian Ring Music TheoryBothimic
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 407Scale 407: Zylimic, Ian Ring Music TheoryZylimic
Scale 471Scale 471: Dodian, Ian Ring Music TheoryDodian
Scale 87Scale 87, Ian Ring Music Theory
Scale 215Scale 215, Ian Ring Music Theory
Scale 599Scale 599: Thyrimic, Ian Ring Music TheoryThyrimic
Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 2391Scale 2391: Molian, Ian Ring Music TheoryMolian

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.