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Scale 371: "Rythimic"

Scale 371: Rythimic, 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
Rythimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,5,6,8}
Forte Number6-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2513
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?yes
Deep Scaleno
Interval Vector322431
Interval Spectrump3m4n2s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,6}
<3> = {4,5,7,8}
<4> = {6,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3
Maximally Evenno
Maximal Area Setno
Interior Area2.116
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 TriadsC♯{1,5,8}221
Minor Triadsc♯m{1,4,8}221
fm{5,8,0}221
Augmented TriadsC+{0,4,8}221
Parsimonious Voice Leading Between Common Triads of Scale 371. Created by Ian Ring ©2019 C+ C+ c#m c#m C+->c#m fm fm C+->fm C# C# c#m->C# C#->fm

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.

Diameter2
Radius2
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 371 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2233
Scale 2233: Donimic, Ian Ring Music TheoryDonimic
3rd mode:
Scale 791
Scale 791: Aeoloptimic, Ian Ring Music TheoryAeoloptimic
4th mode:
Scale 2443
Scale 2443: Panimic, Ian Ring Music TheoryPanimic
5th mode:
Scale 3269
Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
6th mode:
Scale 1841
Scale 1841: Thogimic, Ian Ring Music TheoryThogimic

Prime

This is the prime form of this scale.

Complement

The hexatonic modal family [371, 2233, 791, 2443, 3269, 1841] (Forte: 6-16) is the complement of the hexatonic modal family [371, 791, 1841, 2233, 2443, 3269] (Forte: 6-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 371 is 2513

Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 371 is chiral, and its enantiomorph is scale 2513

Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic

Transformations:

T0 371  T0I 2513
T1 742  T1I 931
T2 1484  T2I 1862
T3 2968  T3I 3724
T4 1841  T4I 3353
T5 3682  T5I 2611
T6 3269  T6I 1127
T7 2443  T7I 2254
T8 791  T8I 413
T9 1582  T9I 826
T10 3164  T10I 1652
T11 2233  T11I 3304

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 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian
Scale 379Scale 379: Aeragian, Ian Ring Music TheoryAeragian
Scale 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 363Scale 363: Soptimic, Ian Ring Music TheorySoptimic
Scale 339Scale 339: Zaptitonic, Ian Ring Music TheoryZaptitonic
Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 499Scale 499: Ionaptian, Ian Ring Music TheoryIonaptian
Scale 115Scale 115, Ian Ring Music Theory
Scale 243Scale 243, Ian Ring Music Theory
Scale 627Scale 627: Mogimic, Ian Ring Music TheoryMogimic
Scale 883Scale 883: Ralian, Ian Ring Music TheoryRalian
Scale 1395Scale 1395: Asian (a), Ian Ring Music TheoryAsian (a)
Scale 2419Scale 2419: Raga Lalita, Ian Ring Music TheoryRaga Lalita

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.