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Scale 53

Scale 53, 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{0,2,4,5}
Forte Number4-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1409
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 43
Deep Scaleno
Interval Vector121110
Interval Spectrumpmns2d
Distribution Spectra<1> = {1,2,7}
<2> = {3,4,8,9}
<3> = {5,10,11}
Spectra Variation4.5
Maximally Evenno
Maximal Area Setno
Interior Area0.866
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 53 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1037
Scale 1037: Warao Tetratonic, Ian Ring Music TheoryWarao Tetratonic
3rd mode:
Scale 1283
Scale 1283, Ian Ring Music Theory
4th mode:
Scale 2689
Scale 2689, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 43

Scale 43Scale 43, Ian Ring Music Theory

Complement

The tetratonic modal family [53, 1037, 1283, 2689] (Forte: 4-11) is the complement of the octatonic modal family [703, 1529, 2021, 2399, 3247, 3671, 3883, 3989] (Forte: 8-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 53 is 1409

Scale 1409Scale 1409, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 53 is chiral, and its enantiomorph is scale 1409

Scale 1409Scale 1409, Ian Ring Music Theory

Transformations:

T0 53  T0I 1409
T1 106  T1I 2818
T2 212  T2I 1541
T3 424  T3I 3082
T4 848  T4I 2069
T5 1696  T5I 43
T6 3392  T6I 86
T7 2689  T7I 172
T8 1283  T8I 344
T9 2566  T9I 688
T10 1037  T10I 1376
T11 2074  T11I 2752

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 55Scale 55, Ian Ring Music Theory
Scale 49Scale 49, Ian Ring Music Theory
Scale 51Scale 51, Ian Ring Music Theory
Scale 57Scale 57, Ian Ring Music Theory
Scale 61Scale 61, Ian Ring Music Theory
Scale 37Scale 37, Ian Ring Music Theory
Scale 45Scale 45, Ian Ring Music Theory
Scale 21Scale 21, Ian Ring Music Theory
Scale 85Scale 85, Ian Ring Music Theory
Scale 117Scale 117, Ian Ring Music Theory
Scale 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 309Scale 309: Palitonic, Ian Ring Music TheoryPalitonic
Scale 565Scale 565: Aeolyphritonic, Ian Ring Music TheoryAeolyphritonic
Scale 1077Scale 1077, Ian Ring Music Theory
Scale 2101Scale 2101, 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.