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Scale 523

Scale 523, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,1,3,9}
Forte Number4-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2569
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes3
Prime?no
prime: 77
Deep Scaleno
Interval Vector112101
Interval Spectrummn2sdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {3,4,8,9}
<3> = {6,9,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.183
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
Diminished Triads{9,0,3}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 523 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2309
Scale 2309, Ian Ring Music Theory
3rd mode:
Scale 1601
Scale 1601, Ian Ring Music Theory
4th mode:
Scale 89
Scale 89, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 77

Scale 77Scale 77, Ian Ring Music Theory

Complement

The tetratonic modal family [523, 2309, 1601, 89] (Forte: 4-12) is the complement of the octatonic modal family [763, 1631, 2009, 2429, 2863, 3479, 3787, 3941] (Forte: 8-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 523 is 2569

Scale 2569Scale 2569, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 523 is chiral, and its enantiomorph is scale 2569

Scale 2569Scale 2569, Ian Ring Music Theory

Transformations:

T0 523  T0I 2569
T1 1046  T1I 1043
T2 2092  T2I 2086
T3 89  T3I 77
T4 178  T4I 154
T5 356  T5I 308
T6 712  T6I 616
T7 1424  T7I 1232
T8 2848  T8I 2464
T9 1601  T9I 833
T10 3202  T10I 1666
T11 2309  T11I 3332

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 521Scale 521, Ian Ring Music Theory
Scale 525Scale 525, Ian Ring Music Theory
Scale 527Scale 527, Ian Ring Music Theory
Scale 515Scale 515, Ian Ring Music Theory
Scale 519Scale 519, Ian Ring Music Theory
Scale 531Scale 531, Ian Ring Music Theory
Scale 539Scale 539, Ian Ring Music Theory
Scale 555Scale 555: Aeolycritonic, Ian Ring Music TheoryAeolycritonic
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 651Scale 651: Golitonic, Ian Ring Music TheoryGolitonic
Scale 779Scale 779, Ian Ring Music Theory
Scale 11Scale 11, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 1035Scale 1035, Ian Ring Music Theory
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 2571Scale 2571, 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.

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.