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Scale 47

Scale 47, 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{0,1,2,3,5}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3713
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?yes
Deep Scaleno
Interval Vector332110
Interval Spectrumpmn2s3d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8,9}
<3> = {3,4,9,10}
<4> = {5,10,11}
Spectra Variation5.2
Maximally Evenno
Maximal Area Setno
Interior Area0.933
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 47 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2071
Scale 2071, Ian Ring Music Theory
3rd mode:
Scale 3083
Scale 3083, Ian Ring Music Theory
4th mode:
Scale 3589
Scale 3589, Ian Ring Music Theory
5th mode:
Scale 1921
Scale 1921, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

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

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 47 is 3713

Scale 3713Scale 3713, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 47 is chiral, and its enantiomorph is scale 3713

Scale 3713Scale 3713, Ian Ring Music Theory

Transformations:

T0 47  T0I 3713
T1 94  T1I 3331
T2 188  T2I 2567
T3 376  T3I 1039
T4 752  T4I 2078
T5 1504  T5I 61
T6 3008  T6I 122
T7 1921  T7I 244
T8 3842  T8I 488
T9 3589  T9I 976
T10 3083  T10I 1952
T11 2071  T11I 3904

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 45Scale 45, Ian Ring Music Theory
Scale 43Scale 43, Ian Ring Music Theory
Scale 39Scale 39, Ian Ring Music Theory
Scale 55Scale 55, Ian Ring Music Theory
Scale 63Scale 63, Ian Ring Music Theory
Scale 15Scale 15, Ian Ring Music Theory
Scale 31Scale 31, Ian Ring Music Theory
Scale 79Scale 79, Ian Ring Music Theory
Scale 111Scale 111, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic
Scale 559Scale 559: Lylimic, Ian Ring Music TheoryLylimic
Scale 1071Scale 1071, Ian Ring Music Theory
Scale 2095Scale 2095, 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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.