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Musica ficta
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==Practical application== The signs ''b mollis'' and ''b durum'' were not notated with any regularity in vocal sources of the late Middle Ages and Renaissance, and although the principles that singers used to supply the missing information were discussed in theoretical treatises, the explanations are far too cursory to enable modern musicians to reconstruct the old practices with any degree of accuracy.{{sfn|Toft|1992|loc=3β4}} Tablatures, however, because they turn implicit solmization practices into explicit pitches, provide a precise view of how musicians, or at least those in the 16th century, added sharps and flats to vocal sources (the first tablatures were published in the early 16th century).<ref>For an explanation of how lutenists intabulated vocal music, see {{harvnb|Toft|1992|loc=43β44}}.</ref> Common practices:<ref>Taken from {{harvnb|Berger|1987|loc=70β121}}; {{harvnb|Toft|1992|loc=9β93}}; {{harvnb|Toft|2014|loc=277β288}}</ref> * Many musicians in earlier times found the linear (melodic) and vertical (harmonic) dissonance caused by clashes between ''mi'' and ''fa'' aurally offensive (especially when it involved [[tritone]]s and octaves), and they regularly removed the dissonance. Exceptions to this practice were common, however, particularly at cadences;{{sfn|Toft|1992|loc=64β65, 73β79}}{{sfn|Toft|2014|loc=280β282}} some musicians even found dissonant octaves acceptable at times.{{sfn|Toft|1992|loc=30, 80β82}}{{sfn|Toft|2014|loc=282}} * Despite the theoretical prohibition of what Zarlino referred to as occasions when "the parts of a composition do not have a harmonic relation between their voices" ("le parti della cantilena non habbiano tra loro relatione harmonica nelle loro voci"),<ref>{{harvnb|Zarlino|1558|loc=179}}, translation from {{harvnb|Zarlino|1968|loc=65}}; false or cross relations in modern parlance.</ref> 16th-century tablatures demonstrate that musicians sometimes removed and at other times retained these clashes.{{sfn|Toft|1992|loc=79}}{{sfn|Toft|2014|loc=282β285, 296β298}} * At cadences and other places where two voice parts proceed to an octave or unison, singers normally approached the perfect interval from the closest imperfect interval; when the closest imperfect interval did not occur naturally in the music, singers created it either by adding a sharp to the voice rising by a whole step or by adding a flat to the voice descending by a whole step.<ref>See {{harvnb|Toft|1992|loc=45β71}}; {{harvnb|Toft|2014|loc=277β278}}.</ref> These practices were common throughout Europe, but in Germany musicians followed a distinctive set of practices for their own vernacular music, particularly at cadences, where they regularly avoided approaching perfect intervals from the closest imperfect intervals.<ref>For a discussion of the German customs, see {{harvnb|Toft|1992|loc=95β102}}; {{harvnb|Toft|2014|loc=288β295}}</ref>
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