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=== Tempo giusto === {{main|Tempo giusto}} While changing the bottom number and keeping the top number fixed only formally changes notation, without changing meaning β {{music|time|3|8}}, {{music|time|3|4}}, {{music|time|3|2}}, and {{music|time|3|1}} are all three beats to a meter, just noted with eighth notes, quarter notes, half notes, or whole notes β these conventionally imply different performance and different tempi. Conventionally, larger numbers in the bottom correspond to faster tempi and smaller numbers correspond to slower tempi. This convention is known as ''[[tempo giusto]]'', and means that the tempo of each note remains in a narrower, "normal" range. For illustration, a quarter note might correspond to 60β120 bpm (quintuplet 75-150, triplet 90-180 and septuplet 105-210), a half note to 30β60 bpm (triplet 45-90), a whole note to 15β30 bpm, and an eighth note to 120β240 bpm; these are not strict, but show an example of "normal" ranges. This convention dates to the [[Baroque music|Baroque]] era, when tempo changes were indicated by changing time signature during the piece, rather than by using a single time signature and changing tempo marking.<ref>{{cite book |last=Dokter |first=Julia |title=Tempo and Tactus in the German Baroque |publisher=University of Rochester Press |year=2021 |isbn=9781648250187 |page=[https://books.google.com/books?id=9EE3EAAAQBAJ&pg=PA144 144]}}</ref>
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