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Global Musical Tempo Transformations using Case Based ... - OFAI

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5.5 The internal structure of a case. Different kinds of information,<br />

like score-melody and harmony, I/R analysis, performance<br />

and performance annotation are structured through<br />

different kinds of relations. . . . . . . . . . . . . . . . . . . . . 79<br />

5.6 Segmentation of the first phrase of ‘All of Me’, according to<br />

I/R structures. The segments correspond to single I/R structures,<br />

or sequences of structures if they are strongly chained<br />

(see subsection 3.5.1) . . . . . . . . . . . . . . . . . . . . . . . 81<br />

5.7 The search process of constructive adaptation expressed in<br />

pseudo code. Functions HG and HO are Hypotheses Generation<br />

and Hypotheses Ordering. Variables OS and SS are the lists<br />

of Open States and Successor States. The function SAC maps<br />

the solution state into the configuration of the solution. The<br />

function Initial-State maps the input problem description<br />

Pi into a state. From Plaza and Arcos [93] . . . . . . . . . . . 82<br />

5.8 Example of an initial state in Constructive Adaptation. T i is<br />

the tempo of the input performance; T o is the desired output<br />

tempo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83<br />

5.9 The process of hypothesis generation. In step 1, a mapping<br />

is made between the input score segment and the most similar<br />

segment from the pool of retrieved segments. In step 2,<br />

the performance annotations for the tempos T i and T o are<br />

collected. In step 3, the performance annotation events are<br />

grouped according to the mapping between the input score<br />

and retrieved score. In step 4, the annotation events are processed<br />

through a set of rules to obtain the annotation events<br />

for a performance at tempo T o of the input score segment . . . 87<br />

6

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