Limited Express Hamakaze (はまかぜ) connects Osaka (大阪) with Tottori (鳥取) Kasumi (香住) and Hamasaka (浜坂). Even though there is only one round trip, Hakamaze is only train that connects Osaka with Tottori directly by Japan Rail Pass or other JR rail passes without any extra charge. Actually the primary train goes to Tottori from Osaka is Limited Express Super Hakuto. This train is much more frequent and much faster than Hamakaze. But this train goes through Non JR line, Chizu Kyuko Railway. Therefore you have to pay extra charge if you want to take this train by Japan Rail Pass or other JR passes. Please check the post, The fastest access to Tottori from Osaka, Shin-Osaka and Kyoto, Limited Express Super Hakuto to get the details.
Limited Express Super Hakuto (スーパーはくと) connects Kyoto (京都), Shin-Osaka (新大阪), Osaka (大阪), Sannomiya (三ノ宮) and Himeji (姫路) with Tottori (鳥取) and Kurayoshi (倉吉). This it the fastest and most frequent direct train service to Tottori from Osaka, Kobe and Kyoto. But this train goes through non JR line, Chizu Kyuko Railway. That means you need to pay extra if you use this train by Japan Rail Pass. If you don’t want to pay extra, Limited Express Hamakaze is available between Osaka and Tottori. However there is only one round trip and travel time is 1.5 hours longer than Super Hakuto.