The fiori musicali bit was not uncommon in early 17th century, used by composers such as Felice Anerio, Antonio Brunelli, Ercole Porta, Orazio Tarditi, and others.
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Fiori musicali was first published in Venice in 1635, when Frescobaldi was working as organist of St. Peter's Basilica in Rome, under the patronage of Pope Urban VIII and his nephew Cardinal Francesco Barberini.