User:Holger Stoltenberg/sandbox: Difference between revisions
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= Expanding tonal space = | = Expanding tonal space = | ||
This article describes how to visually arrange a set of overtone scales in order to expand a | This article describes how to visually arrange a set of overtone scales in order to expand a particular plane of tonal space. | ||
== | == Why expand tonal space in this way? == | ||
The concept is a step towards building an electronic keyboard instrument that allows the player to interactively map ''sequences of rational intervals'' to | The concept is a step towards building an electronic keyboard instrument that allows the player to interactively map ''sequences of rational intervals'' to consecutive keys – in real time, even live on stage. Therefore, the player needs convenient and intuitive access to the mapping process, which becomes an integral part of the musical performance.<br> | ||
<math>r=\frac{n+m}{n}</math> | <math>r=\frac{n+m}{n}</math> | ||
Revision as of 15:33, 29 December 2024
Expanding tonal space
This article describes how to visually arrange a set of overtone scales in order to expand a particular plane of tonal space.
Why expand tonal space in this way?
The concept is a step towards building an electronic keyboard instrument that allows the player to interactively map sequences of rational intervals to consecutive keys – in real time, even live on stage. Therefore, the player needs convenient and intuitive access to the mapping process, which becomes an integral part of the musical performance.
[math]\displaystyle{ r=\frac{n+m}{n} }[/math]