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Scale 19

Scale 19, 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

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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{0,1,4}
Forte Number3-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2305
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes2
Prime?yes
Deep Scaleno
Interval Vector101100
Interval Spectrummnd
Distribution Spectra<1> = {1,3,8}
<2> = {4,9,11}
Spectra Variation4.667
Maximally Evenno
Maximal Area Setno
Interior Area0.317
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 19 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 2057
Scale 2057, Ian Ring Music Theory
3rd mode:
Scale 769
Scale 769, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tritonic modal family [19, 2057, 769] (Forte: 3-3) is the complement of the nonatonic modal family [895, 2035, 2495, 3065, 3295, 3695, 3895, 3995, 4045] (Forte: 9-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 19 is 2305

Scale 2305Scale 2305, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 19 is chiral, and its enantiomorph is scale 2305

Scale 2305Scale 2305, Ian Ring Music Theory

Transformations:

T0 19  T0I 2305
T1 38  T1I 515
T2 76  T2I 1030
T3 152  T3I 2060
T4 304  T4I 25
T5 608  T5I 50
T6 1216  T6I 100
T7 2432  T7I 200
T8 769  T8I 400
T9 1538  T9I 800
T10 3076  T10I 1600
T11 2057  T11I 3200

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 17Scale 17, Ian Ring Music Theory
Scale 21Scale 21, Ian Ring Music Theory
Scale 23Scale 23, Ian Ring Music Theory
Scale 27Scale 27, Ian Ring Music Theory
Scale 3Scale 3, Ian Ring Music Theory
Scale 11Scale 11, Ian Ring Music Theory
Scale 35Scale 35, Ian Ring Music Theory
Scale 51Scale 51, Ian Ring Music Theory
Scale 83Scale 83, Ian Ring Music Theory
Scale 147Scale 147, Ian Ring Music Theory
Scale 275Scale 275: Dalic, Ian Ring Music TheoryDalic
Scale 531Scale 531, Ian Ring Music Theory
Scale 1043Scale 1043, Ian Ring Music Theory
Scale 2067Scale 2067, 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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.