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Scale 2141

Scale 2141, 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

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,4,6,11}
Forte Number6-Z10
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1859
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 187
Deep Scaleno
Interval Vector333321
Interval Spectrump2m3n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2141 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1559
Scale 1559, Ian Ring Music Theory
3rd mode:
Scale 2827
Scale 2827, Ian Ring Music Theory
4th mode:
Scale 3461
Scale 3461, Ian Ring Music Theory
5th mode:
Scale 1889
Scale 1889, Ian Ring Music Theory
6th mode:
Scale 187
Scale 187, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 187

Scale 187Scale 187, Ian Ring Music Theory

Complement

The hexatonic modal family [2141, 1559, 2827, 3461, 1889, 187] (Forte: 6-Z10) is the complement of the hexatonic modal family [317, 977, 1103, 2599, 3347, 3721] (Forte: 6-Z39)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2141 is 1859

Scale 1859Scale 1859, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2141 is chiral, and its enantiomorph is scale 1859

Scale 1859Scale 1859, Ian Ring Music Theory

Transformations:

T0 2141  T0I 1859
T1 187  T1I 3718
T2 374  T2I 3341
T3 748  T3I 2587
T4 1496  T4I 1079
T5 2992  T5I 2158
T6 1889  T6I 221
T7 3778  T7I 442
T8 3461  T8I 884
T9 2827  T9I 1768
T10 1559  T10I 3536
T11 3118  T11I 2977

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 2143Scale 2143, Ian Ring Music Theory
Scale 2137Scale 2137, Ian Ring Music Theory
Scale 2139Scale 2139, Ian Ring Music Theory
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2157Scale 2157, Ian Ring Music Theory
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2077Scale 2077, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2269Scale 2269: Pygian, Ian Ring Music TheoryPygian
Scale 2397Scale 2397: Stagian, Ian Ring Music TheoryStagian
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 93Scale 93, Ian Ring Music Theory
Scale 1117Scale 1117: Raptimic, Ian Ring Music TheoryRaptimic

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.