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Scale 2819

Scale 2819, 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.

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{0,1,8,9,11}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2075
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2819 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3457
Scale 3457, Ian Ring Music Theory
3rd mode:
Scale 59
Scale 59, Ian Ring Music Theory
4th mode:
Scale 2077
Scale 2077, Ian Ring Music Theory
5th mode:
Scale 1543
Scale 1543, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [2819, 3457, 59, 2077, 1543] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2819 is 2075

Scale 2075Scale 2075, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2819 is chiral, and its enantiomorph is scale 2075

Scale 2075Scale 2075, Ian Ring Music Theory

Transformations:

T0 2819  T0I 2075
T1 1543  T1I 55
T2 3086  T2I 110
T3 2077  T3I 220
T4 59  T4I 440
T5 118  T5I 880
T6 236  T6I 1760
T7 472  T7I 3520
T8 944  T8I 2945
T9 1888  T9I 1795
T10 3776  T10I 3590
T11 3457  T11I 3085

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 2817Scale 2817, Ian Ring Music Theory
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 2823Scale 2823, Ian Ring Music Theory
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 2835Scale 2835: Ionygimic, Ian Ring Music TheoryIonygimic
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 2947Scale 2947, Ian Ring Music Theory
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2691Scale 2691, Ian Ring Music Theory
Scale 2307Scale 2307, Ian Ring Music Theory
Scale 3331Scale 3331, Ian Ring Music Theory
Scale 3843Scale 3843, Ian Ring Music Theory
Scale 771Scale 771, Ian Ring Music Theory
Scale 1795Scale 1795, 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. Bibliography