Around here, Northern Cal, first cutting alfalfa is about a week on the ground. Cut, wait 6days, rake. Bale the next. That time gets cut to maybe 4 days by 3rd or 4th cutting.
Making grass hay in the High desert of Central Oreegone, where I grew up, it was generally a 4-5 day time frame. Cut, wait 2-3 days, rake, wait 2 days Bale. Rarely made a 3rd cutting. Growing season was just too short.