Originally posted by Vox Humana
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The following passage from Willi Apel's The Notation of Polyphonic Music 900–1600 is worth quoting: ‘In the sources of the sixteenth century, the sign 3 occurs most frequently for shorter or longer sections in compositions marked cut-C. Here it must be noted that as a rule the tripla does not refer to the diminutio of the preceding section, but to the integer valor. In other words, three semibreves of the tripla are equal, not to one, but to two semibreves of the preceding section. Clear evidence of this is found where passages marked cut-C and 3 alternate in both parts.’ So in the case of Byrd, the '3' does indeed mean tripla proportion, but in relation to undiminished note values, not those shown under cut-C, where the stroke implies diminution by a factor of two.
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