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Scale 2883

Scale 2883, 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).

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,6,8,9,11}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2139
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 183
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
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 Triadsf♯m{6,9,1}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2883. Created by Ian Ring ©2019 f#° f#° f#m f#m f#°->f#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 2883 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3489
Scale 3489, Ian Ring Music Theory
3rd mode:
Scale 237
Scale 237, Ian Ring Music Theory
4th mode:
Scale 1083
Scale 1083, Ian Ring Music Theory
5th mode:
Scale 2589
Scale 2589, Ian Ring Music Theory
6th mode:
Scale 1671
Scale 1671, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 183

Scale 183Scale 183, Ian Ring Music Theory

Complement

The hexatonic modal family [2883, 3489, 237, 1083, 2589, 1671] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2883 is 2139

Scale 2139Scale 2139, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2883 is chiral, and its enantiomorph is scale 2139

Scale 2139Scale 2139, Ian Ring Music Theory

Transformations:

T0 2883  T0I 2139
T1 1671  T1I 183
T2 3342  T2I 366
T3 2589  T3I 732
T4 1083  T4I 1464
T5 2166  T5I 2928
T6 237  T6I 1761
T7 474  T7I 3522
T8 948  T8I 2949
T9 1896  T9I 1803
T10 3792  T10I 3606
T11 3489  T11I 3117

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 2881Scale 2881, Ian Ring Music Theory
Scale 2885Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
Scale 2887Scale 2887: Gaptian, Ian Ring Music TheoryGaptian
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2899Scale 2899: Kagian, Ian Ring Music TheoryKagian
Scale 2915Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
Scale 2819Scale 2819, Ian Ring Music Theory
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 3011Scale 3011, Ian Ring Music Theory
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 3395Scale 3395, Ian Ring Music Theory
Scale 3907Scale 3907, Ian Ring Music Theory
Scale 835Scale 835, Ian Ring Music Theory
Scale 1859Scale 1859, Ian Ring Music Theory

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.