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The range-module (r)

We organize the line of frequencies of the sound dimension in a module which we call register(r). By multiplying the frequency of a Note by 2 (octave ratio), we obtain the frequency of another higher-pitched Note. The distance between both Notes always corresponds to one register.

The following example is based on frequencies of the note A, where each note has twice the frequency of the previous one. When using modular numbering, the notes have the same name, but are located in different registers, which we indicate with a lowercase «r» and a number:

 

 

Let’s see another example on the note C:

 

Do en distintos registros

 

This distance of 1 register (or octave) defines the module, which helps us to organize the frequencies of the sound dimension in 7 registers. We usually use the equal temperament tuning system and divide each of these registers into 12 equal parts, which correspond to the collection of notes of the chromatic scale. However, this tuning system is very versatile and also allows us to divide the register into any number other than 12, obtaining a microtonal collection of notes if the subdivision is a number greater than 12, or a macrotonal collection if it is less than 12.

 

 

It is important to realize that the module we define influences not only the collections of notes we have available to use in our composition, but also the type of sound scales we can apply. This determines the sound spectrum and the colors we can express in our composition.

 

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