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Scale 347: "Barimic"

Scale 347: Barimic, 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
Barimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,4,6,8}
Forte Number6-Z24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2897
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector233331
Interval Spectrump3m3n3s3d2t
Distribution Spectra<1> = {1,2,4}
<2> = {3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9}
<5> = {8,10,11}
Spectra Variation2.667
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
Major TriadsG♯{8,0,3}221
Minor Triadsc♯m{1,4,8}131.5
Augmented TriadsC+{0,4,8}221
Diminished Triads{0,3,6}131.5
Parsimonious Voice Leading Between Common Triads of Scale 347. Created by Ian Ring ©2019 G# G# c°->G# C+ C+ c#m c#m C+->c#m C+->G#

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 VerticesC+, G♯
Peripheral Verticesc°, c♯m

Modes

Modes are the rotational transformation of this scale. Scale 347 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2221
Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
3rd mode:
Scale 1579
Scale 1579: Sagimic, Ian Ring Music TheorySagimic
4th mode:
Scale 2837
Scale 2837: Aelothimic, Ian Ring Music TheoryAelothimic
5th mode:
Scale 1733
Scale 1733: Raga Sarasvati, Ian Ring Music TheoryRaga Sarasvati
6th mode:
Scale 1457
Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [347, 2221, 1579, 2837, 1733, 1457] (Forte: 6-Z24) is the complement of the hexatonic modal family [599, 697, 1481, 1829, 2347, 3221] (Forte: 6-Z46)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 347 is 2897

Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 347 is chiral, and its enantiomorph is scale 2897

Scale 2897Scale 2897: Rycrimic, Ian Ring Music TheoryRycrimic

Transformations:

T0 347  T0I 2897
T1 694  T1I 1699
T2 1388  T2I 3398
T3 2776  T3I 2701
T4 1457  T4I 1307
T5 2914  T5I 2614
T6 1733  T6I 1133
T7 3466  T7I 2266
T8 2837  T8I 437
T9 1579  T9I 874
T10 3158  T10I 1748
T11 2221  T11I 3496

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 345Scale 345: Gylitonic, Ian Ring Music TheoryGylitonic
Scale 349Scale 349: Borimic, Ian Ring Music TheoryBorimic
Scale 351Scale 351: Epanian, Ian Ring Music TheoryEpanian
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 343Scale 343: Ionorimic, Ian Ring Music TheoryIonorimic
Scale 331Scale 331: Raga Chhaya Todi, Ian Ring Music TheoryRaga Chhaya Todi
Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic
Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian
Scale 283Scale 283: Aerylitonic, Ian Ring Music TheoryAerylitonic
Scale 315Scale 315: Stodimic, Ian Ring Music TheoryStodimic
Scale 411Scale 411: Lygimic, Ian Ring Music TheoryLygimic
Scale 475Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
Scale 91Scale 91, Ian Ring Music Theory
Scale 219Scale 219: Istrian, Ian Ring Music TheoryIstrian
Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic
Scale 859Scale 859: Ultralocrian, Ian Ring Music TheoryUltralocrian
Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian
Scale 2395Scale 2395: Zoptian, Ian Ring Music TheoryZoptian

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.