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divisions

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divisions

In music, an old method of improvising variations by dividing the basic note values of a theme into smaller fractions representing higher tempi in proportion to the original time values (see diminution).

The medieval extension of harmonic ratios to tempo can be found in the keyboard variations of Mozart, Beethoven, and Brahms; in the late 20th century Karlheinz Stockhausen reinvented the concept by introducing a tempo scale equivalent to equal temperament, with metronomic values graduated within the ‘tempo-octave’ 60-120 beats per minute.



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? Mentioned in ? References in classic literature
 
By this time the four divisions of De Montfort's army were in full view of the town.
Since the objects of imitation are men in action, and these men must be either of a higher or a lower type (for moral character mainly answers to these divisions, goodness and badness being the distinguishing marks of moral differences), it follows that we must represent men either as better than in real life, or as worse, or as they are.
The natural divisions are five in number;--( 1) Book I and the first half of Book II down to the paragraph beginning, "I had always admired the genius of Glaucon and Adeimantus," which is introductory; the first book containing a refutation of the popular and sophistical notions of justice, and concluding, like some of the earlier Dialogues, without arriving at any definite result.
 
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