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Scale 2053

Scale 2053, 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

Cardinality3 (tritonic)
Pitch Class Set{0,2,11}
Forte Number3-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1027
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes2
Prime?no
prime: 11
Deep Scaleno
Interval Vector111000
Interval Spectrumnsd
Distribution Spectra<1> = {1,2,9}
<2> = {3,10,11}
Spectra Variation5.333
Maximally Evenno
Maximal Area Setno
Interior Area0.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 2053 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 1537
Scale 1537, Ian Ring Music Theory
3rd mode:
Scale 11
Scale 11, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 11

Scale 11Scale 11, Ian Ring Music Theory

Complement

The tritonic modal family [2053, 1537, 11] (Forte: 3-2) is the complement of the nonatonic modal family [767, 2041, 2431, 3263, 3679, 3887, 3991, 4043, 4069] (Forte: 9-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2053 is 1027

Scale 1027Scale 1027, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2053 is chiral, and its enantiomorph is scale 1027

Scale 1027Scale 1027, Ian Ring Music Theory

Transformations:

T0 2053  T0I 1027
T1 11  T1I 2054
T2 22  T2I 13
T3 44  T3I 26
T4 88  T4I 52
T5 176  T5I 104
T6 352  T6I 208
T7 704  T7I 416
T8 1408  T8I 832
T9 2816  T9I 1664
T10 1537  T10I 3328
T11 3074  T11I 2561

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 2055Scale 2055, Ian Ring Music Theory
Scale 2049Scale 2049, Ian Ring Music Theory
Scale 2051Scale 2051, Ian Ring Music Theory
Scale 2057Scale 2057, Ian Ring Music Theory
Scale 2061Scale 2061, Ian Ring Music Theory
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2181Scale 2181, Ian Ring Music Theory
Scale 2309Scale 2309, Ian Ring Music Theory
Scale 2565Scale 2565, Ian Ring Music Theory
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 5Scale 5: Vietnamese ditonic, Ian Ring Music TheoryVietnamese ditonic
Scale 1029Scale 1029, 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. Special thanks to Richard Repp for helping with technical accuracy.