The article "Asian Glass Ornaments" part 2, China, by Robert Liu has an image of a fluted round, a smooth round, and a smooth cylinder...the text reads...

" Three wound beads from West Irian (West New Guinea): melon bead with secondary marvering. Presumed to be Chinese, the cylindrical form has not been confirmed in China. some have postulated a European origin for the melon beads: in the Charles Arquette collection of bead sample cards on display at The Bead Museum, Prescott, AZ, no. 359 is very similar to the yellow barrel bead shown here, but no close comparison has been made."

This helped me remember that the fluted ovals are sometimes called "Irian Jaya".