Steamer had every second cylinder firing per revolution. With an even number of cylinders (let's say 8) all equally spaced(every 45 deg), that would mean even cylinders firing on one revolution and then odd cylinders on the next revolution. When youve completed the even firing revolution, you then need to skip the first even cylinder to get to the first odd one to fire. Thus you need to skip an additional 45deg to get to the first odd cylinder giving 135 deg (90 + 45 deg). At the end of the odd firing revolution, you need to skip only 45 deg to get back to the first even cylinder. So, you end uo with 90, 90, 90, 135, 90, 90, 90, 45, and so on, or even a 90. 90, 90, 135, 90, 90, 90, 135, depending on how you want to deal with switching between odd and even cylinders.
With an odd number of cylinders, you dont need to do any special skip ahead or to switch between the even and odd cylinders. You simply fire every 80 deg for a 9 cyl engine.
I dont know the mechanical components to know what tomoi was referring to about needing only five cams on each cam ring for a 9 cyl engine. I am somewhat intrigued by this, though it will likely be some time before I ever reach the ranks of considering making a radial engine.
Robin