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Absolute Tunings

The most basic model of a tuning is an absolute tuning. An absolute tuning maps a set of pitches to frequencies. This definition may sound odd because colloquially, ``pitch'' can be used interchangeably with ``frequency.'' As introduced in Section 1.6.3, in this work we use ``pitch'' in a restricted sense, where a pitch is an element of a culture's music theory, whereas frequency is a physical quantity. A pitch can be thought of as an abstract representation of a frequency that can be made concrete only through the application of a tuning. An example absolute tuning is one that maps the set of pitches {C3, E3, G3} to {261 Hz, 329 Hz, 391 Hz}. Figure 3.1 is a block diagram of an absolute tuning.

  
Figure 3.1: Block diagram of an absolute tuning
\begin{figure}
 \centering
 \begin{picture}
(200,25)
 \put( 0,7){\begin{picture}...
 ...{\vector(1,0){60}}
 \put(5, 4){frequency}\end{picture}}\end{picture}\end{figure}



Ben Denckla
8/29/1997