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Music of the Renaissance abounds in instances of successive and simultaneous use of perfect and imperfect time. When they occur simultaneously, the intended relationship can usually be determined without much difficulty. It cannot be assumed, however, that horizontal relationships of mensurations were always identical with the vertical ones. On the contrary, we know, for example, that many theorists advocated that major prolation signify augmentation only when it occurred simultaneously with minor prolation in another part, and not when minor and major prolations followed one another in the same part. Similarly, the sign of diminished perfect time always indicated diminution by half when it occurred simultaneously with undiminished perfect time; otherwise it might also indicate diminution by a third. Consequently, when imperfect time is followed by or follows perfect time, the question arises which value should remain equal under both tempora: breve, semibreve or minim? It is striking that not a single modern scholar considers the possibility of semibreve equivalence. It will be readily seen that semibreve equivalence is an independent possibility only when combined with different prolations (see Example lc–d); when prolations are the same, it is indistinguishable from minim equivalence (see Example la–b). Anticipating the results of the investigation that follows, I should say at once that I have not found a single theorist who would advocate semibreve equivalence in . The fact that modern scholars do not consider semibreve equivalence either means, presumably, that notational practice of the Renaissance does not suggest it.
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