The Exciting Universe Of Music Theory

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Scale 2143

Scale 2143, 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

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).


Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,4,6,11}
Forte Number7-2
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3907
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
prime: 191
Deep Scaleno
Interval Vector554331
Interval Spectrump3m3n4s5d5t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {3,4,7,8}
<4> = {4,5,8,9}
<5> = {5,6,9,10}
<6> = {7,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Ridge Tonesnone

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 TriadsB{11,3,6}210.67
Minor Triadsbm{11,2,6}121
Diminished Triads{0,3,6}121
Parsimonious Voice Leading Between Common Triads of Scale 2143. Created by Ian Ring ©2019 B B c°->B bm bm bm->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.

Central VerticesB
Peripheral Verticesc°, bm


Modes are the rotational transformation of this scale. Scale 2143 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3119
Scale 3119, Ian Ring Music Theory
3rd mode:
Scale 3607
Scale 3607, Ian Ring Music Theory
4th mode:
Scale 3851
Scale 3851, Ian Ring Music Theory
5th mode:
Scale 3973
Scale 3973, Ian Ring Music Theory
6th mode:
Scale 2017
Scale 2017, Ian Ring Music Theory
7th mode:
Scale 191
Scale 191, Ian Ring Music TheoryThis is the prime mode


The prime form of this scale is Scale 191

Scale 191Scale 191, Ian Ring Music Theory


The heptatonic modal family [2143, 3119, 3607, 3851, 3973, 2017, 191] (Forte: 7-2) is the complement of the pentatonic modal family [47, 1921, 2071, 3083, 3589] (Forte: 5-2)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2143 is 3907

Scale 3907Scale 3907, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2143 is chiral, and its enantiomorph is scale 3907

Scale 3907Scale 3907, Ian Ring Music Theory


T0 2143  T0I 3907
T1 191  T1I 3719
T2 382  T2I 3343
T3 764  T3I 2591
T4 1528  T4I 1087
T5 3056  T5I 2174
T6 2017  T6I 253
T7 4034  T7I 506
T8 3973  T8I 1012
T9 3851  T9I 2024
T10 3607  T10I 4048
T11 3119  T11I 4001

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 2141Scale 2141, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2127Scale 2127, Ian Ring Music Theory
Scale 2159Scale 2159, Ian Ring Music Theory
Scale 2175Scale 2175, Ian Ring Music Theory
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2111Scale 2111, Ian Ring Music Theory
Scale 2207Scale 2207: Mygian, Ian Ring Music TheoryMygian
Scale 2271Scale 2271: Poptyllic, Ian Ring Music TheoryPoptyllic
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic
Scale 2655Scale 2655, Ian Ring Music Theory
Scale 3167Scale 3167: Thynyllic, Ian Ring Music TheoryThynyllic
Scale 95Scale 95, Ian Ring Music Theory
Scale 1119Scale 1119: Rarian, Ian Ring Music TheoryRarian

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 ( 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. Special thanks to Richard Repp for helping with technical accuracy.