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Scale 2071

Scale 2071, 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{0,1,2,4,11}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3331
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 2071 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3083
Scale 3083, Ian Ring Music Theory
3rd mode:
Scale 3589
Scale 3589, Ian Ring Music Theory
4th mode:
Scale 1921
Scale 1921, Ian Ring Music Theory
5th mode:
Scale 47
Scale 47, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 47

Scale 47Scale 47, Ian Ring Music Theory

Complement

The pentatonic modal family [2071, 3083, 3589, 1921, 47] (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 2071 is 3331

Scale 3331Scale 3331, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2071 is chiral, and its enantiomorph is scale 3331

Scale 3331Scale 3331, Ian Ring Music Theory

Transformations:

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

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 2069Scale 2069, Ian Ring Music Theory
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2075Scale 2075, Ian Ring Music Theory
Scale 2079Scale 2079, Ian Ring Music Theory
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2063Scale 2063, Ian Ring Music Theory
Scale 2087Scale 2087, Ian Ring Music Theory
Scale 2103Scale 2103, Ian Ring Music Theory
Scale 2135Scale 2135, Ian Ring Music Theory
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2327Scale 2327: Epalimic, Ian Ring Music TheoryEpalimic
Scale 2583Scale 2583, Ian Ring Music Theory
Scale 3095Scale 3095, Ian Ring Music Theory
Scale 23Scale 23, Ian Ring Music Theory
Scale 1047Scale 1047, 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.