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Scale 3083

Scale 3083, 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

Cardinality5 (pentatonic)
Pitch Class Set{0,1,3,10,11}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2567
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes4
Prime?no
prime: 47
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
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3083 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3589
Scale 3589, Ian Ring Music Theory
3rd mode:
Scale 1921
Scale 1921, Ian Ring Music Theory
4th mode:
Scale 47
Scale 47, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2071
Scale 2071, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 47

Scale 47Scale 47, Ian Ring Music Theory

Complement

The pentatonic modal family [3083, 3589, 1921, 47, 2071] (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 3083 is 2567

Scale 2567Scale 2567, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3083 is chiral, and its enantiomorph is scale 2567

Scale 2567Scale 2567, Ian Ring Music Theory

Transformations:

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

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 3081Scale 3081, Ian Ring Music Theory
Scale 3085Scale 3085, Ian Ring Music Theory
Scale 3087Scale 3087, Ian Ring Music Theory
Scale 3075Scale 3075, Ian Ring Music Theory
Scale 3079Scale 3079, Ian Ring Music Theory
Scale 3091Scale 3091, Ian Ring Music Theory
Scale 3099Scale 3099, Ian Ring Music Theory
Scale 3115Scale 3115, Ian Ring Music Theory
Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
Scale 3211Scale 3211: Epacrimic, Ian Ring Music TheoryEpacrimic
Scale 3339Scale 3339, Ian Ring Music Theory
Scale 3595Scale 3595, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 1035Scale 1035, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.