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Scale 143

Scale 143, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,3,7}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3617
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?yes
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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 Triadscm{0,3,7}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 143 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2119
Scale 2119, Ian Ring Music Theory
3rd mode:
Scale 3107
Scale 3107, Ian Ring Music Theory
4th mode:
Scale 3601
Scale 3601, Ian Ring Music Theory
5th mode:
Scale 481
Scale 481, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The pentatonic modal family [143, 2119, 3107, 3601, 481] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 143 is 3617

Scale 3617Scale 3617, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 143 is chiral, and its enantiomorph is scale 3617

Scale 3617Scale 3617, Ian Ring Music Theory

Transformations:

T0 143  T0I 3617
T1 286  T1I 3139
T2 572  T2I 2183
T3 1144  T3I 271
T4 2288  T4I 542
T5 481  T5I 1084
T6 962  T6I 2168
T7 1924  T7I 241
T8 3848  T8I 482
T9 3601  T9I 964
T10 3107  T10I 1928
T11 2119  T11I 3856

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 141Scale 141, Ian Ring Music Theory
Scale 139Scale 139, Ian Ring Music Theory
Scale 135Scale 135, Ian Ring Music Theory
Scale 151Scale 151, Ian Ring Music Theory
Scale 159Scale 159, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 207Scale 207, Ian Ring Music Theory
Scale 15Scale 15, Ian Ring Music Theory
Scale 79Scale 79, Ian Ring Music Theory
Scale 271Scale 271, Ian Ring Music Theory
Scale 399Scale 399: Zynimic, Ian Ring Music TheoryZynimic
Scale 655Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic
Scale 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic

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.

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.