The first volume (1644) initially appeared as Euterpe oft Speel-goddinne I. Two years later a second volume was published, entitled Der Fluyten Lust-hof II. The appearance of two volumes with different titles was undoubtedly regarded as unsatisfactory. An enlarged second of Euterpe that appeared in 1649 was therefore called Der Fluyten Lust-hof I. On its title page we read that it was 'the second edition, enlarged and 'reheard' by the composer.'
A third edition of this first volume was published ca. 1656. A second edition of the second volume came out in 1654.
From Thiemo Wind's website.