Now that I am retired, I have time to do the projects I have thought about. The one time I took a button buck with a cast bullet, I had to walk up on him and administer the coup de grace, very bad. I decided I needed a larger caliber.
This old Swiss martini has been in the gun room for many years, couldn’t figure how to mount a scope without drilling & tapping. The  rib on the barrel measured .020 less than 16mm. CZ 527 rings are for a 16 mm rib. Worth a try, they clamp on tight, pushed the rear ring up against the front sight to prevent any forward movement do to recoil. The scope is a Leupold 2.5x LER. The rifle is 9.3x53 Swiss, about the same power as a 358 Winchester . I formed the brass from 7.5x55 Swiss. Loading a 220gr RN. Starting load is 23.5 gr of IMR4227. Looking forward to the range when it cools off.
Mike

Are those bases for claw mounts that I see?  If so, you might check the German Gun Collectors site; I'm pretty sure there's at least on person in the US who custom-makes rings for such things.

Bill Lawrence

How does she handle the rimless brass?

Is the extractor sprung to get into the groove or what?

The extractor does spring to the side when the cartridge is inserted.
Mike

How come this post shows up on my computer when I click on ugly Duckling but does not show up when I click on Hunting with single shots.
The same thing happened with the post I did and I thought it was because the Moderator thought I was telling Porky Pies about the magic Dragonfly and pulled my post.

Nero, some funny things are happening with my laptop too. For example if I login, all I can see are the three sections down at the bottom unless I use the back button at the top and then I'll see everything. Another example, is right now I can see Pavogrande in the all topics section but when I click on the for sale section, he's not there. I have no idea why this is happening.

I use three different machines to view this site- no pictures show up if the machine I'm using isn't signed on. That happens that I get disconnected on one and forget to note that when I change back to that ,puter.

I have a Swiss vetterli in 10.4x38 ( i think that is correct.) i make cases from lebel brass.. and yes it is a single shot as the spring no longer is in the tube magazine and several parts are missing.. It is much uglier than your rifle but i must say i have had a lot of fun with ugly rifles. i made a front sight and i think used a Remington rear sight. milled the site to fit the large dove tail. anyway these old ugly rifles are a lot of fun to shoot. and again if there was a contest for the ugliest rifle i know i would win hands down with mine. 
argie1891    

and please dont give me a bad time as it was a repeater but has not been one for many years.

Clamping the scope mounts to the barrel rib is a good short term solution. It allows the use of LER scopes and allows full access to the action for loading and extraction. It just doesn't look as clean as the rifle's original claw scope mounts.
Now that you are retired, there is no excuse for not fitting a set of claw mounts to your rifle's scope bases. 
The Martini action will require a higher scope height for ease of operation and it wouldn't surprise me if your stock was designed with this in mind. If this is the case, mounting the scope clamped to the rib, may be harder to acquire than one a little higher.
You probably, already have the answer, after your trip to the range.
Otto

"Computers sure are fascinating."

Yeah, they sure are- sometimes I go down to Best Buy just to yell at their computers.