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Scale 1921

Scale 1921, 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{0,7,8,9,10}
Forte Number5-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 61
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 1921 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 47
Scale 47, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2071
Scale 2071, Ian Ring Music Theory
4th mode:
Scale 3083
Scale 3083, Ian Ring Music Theory
5th mode:
Scale 3589
Scale 3589, 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 [1921, 47, 2071, 3083, 3589] (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 1921 is 61

Scale 61Scale 61, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1921 is chiral, and its enantiomorph is scale 61

Scale 61Scale 61, Ian Ring Music Theory

Transformations:

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

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 1923Scale 1923, Ian Ring Music Theory
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1929Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
Scale 1937Scale 1937: Galimic, Ian Ring Music TheoryGalimic
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 1985Scale 1985, Ian Ring Music Theory
Scale 1793Scale 1793, Ian Ring Music Theory
Scale 1857Scale 1857, Ian Ring Music Theory
Scale 1665Scale 1665, Ian Ring Music Theory
Scale 1409Scale 1409, Ian Ring Music Theory
Scale 897Scale 897, Ian Ring Music Theory
Scale 2945Scale 2945, Ian Ring Music Theory
Scale 3969Scale 3969, 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.