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Scale 11

Scale 11, 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

Cardinality3 (tritonic)
Pitch Class Set{0,1,3}
Forte Number3-2
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2561
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes2
Prime?yes
Deep Scaleno
Interval Vector111000
Interval Spectrumnsd
Distribution Spectra<1> = {1,2,9}
<2> = {3,10,11}
Spectra Variation5.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 11 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 2053
Scale 2053, Ian Ring Music Theory
3rd mode:
Scale 1537
Scale 1537, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tritonic modal family [11, 2053, 1537] (Forte: 3-2) is the complement of the nonatonic modal family [767, 2041, 2431, 3263, 3679, 3887, 3991, 4043, 4069] (Forte: 9-2)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 11 is 2561

Scale 2561Scale 2561, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 11 is chiral, and its enantiomorph is scale 2561

Scale 2561Scale 2561, Ian Ring Music Theory

Transformations:

T0 11  T0I 2561
T1 22  T1I 1027
T2 44  T2I 2054
T3 88  T3I 13
T4 176  T4I 26
T5 352  T5I 52
T6 704  T6I 104
T7 1408  T7I 208
T8 2816  T8I 416
T9 1537  T9I 832
T10 3074  T10I 1664
T11 2053  T11I 3328

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 9Scale 9, Ian Ring Music Theory
Scale 13Scale 13, Ian Ring Music Theory
Scale 15Scale 15, Ian Ring Music Theory
Scale 3Scale 3, Ian Ring Music Theory
Scale 7Scale 7, Ian Ring Music Theory
Scale 19Scale 19, Ian Ring Music Theory
Scale 27Scale 27, Ian Ring Music Theory
Scale 43Scale 43, Ian Ring Music Theory
Scale 75Scale 75, Ian Ring Music Theory
Scale 139Scale 139, Ian Ring Music Theory
Scale 267Scale 267, Ian Ring Music Theory
Scale 523Scale 523, Ian Ring Music Theory
Scale 1035Scale 1035, Ian Ring Music Theory
Scale 2059Scale 2059, 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