I think the membrane pipe is a relatively recent invention. I’m not sure who came up with it, but there’s a lot of nice examples on youtube. Here’s a how-to video. I should have watched that video before making this thing, which is my first attempt at a membrane pipe.
I didn’t make any effort to tune it – I just drilled holes approximately where my fingers could reach, and that not very accurately. You can see my hands straining in the video.