According to Sheldon Browns information legacy on the web, chain elongation only takes place on the inner links, the outer ones are "bridged" by the outer plates and plates don't "stretch", with the elongation occurring under tension, due to worn-off material between the link parts contact surfaces.
According to several dealers I asked, elongation is due to plates stretching so permanent deformation of the steel grade, which would require a force stretching it beyond its elastic range.
Sheldon Brown calls an even number of teeth a benefit (on the wear aspect, see
https://www.sheldonbrown.com/chain-life.html ) based on aboves first - the chains elongation is every other link, and in the case of an even number of teeth this allows teeth and link to wear-in so properly mesh with eachother, while in the case of an odd number of teeth there is, in a degree, a random engagement which causes improper meshing and rough running, which would thus decrease chain life.
Both statements lead to the same, whether it is the worn off material, or stretched plates, there is an elongation every other link and thus an argument for even numbered teeth sprockets.
However, in a case of a combination both, in regards to the wear related question even/odd number of teeth, one would compensate the other and even/odd would cease to matter.
An integer gear ratio, alike that 48/16 (which is according to what I've read on forums a quite common one) I had, proved itself as a by far bigger cause of wear than aboves. Those are even numbers of teeth, but 45/15 or 51/17 is also integer and should result in a similar wear concentration.
My gear choices are limited due to chainring not having more frame clearance due to bike design / accomodation for 62 mm tyres in combination with a bottom bracket located eccenter to tension the chain.
My gear options are:
chainring/rear cog/chain length (links)/eccenter remaining range at mount of new chain:
- 47/16/106.58/10.6mm - gear 2.94
- 48/17/107,6/10.8mm - gear 2.82
- 49/16/107,6/10.8mm - gear 3.06
- 49/17/108,1/7.5mm - gear 2.88
- 50/16/108,2/8.3mm - gear 3.125
- 50/17/108,6 /10.8mm - gear 2.94
The higher the remaining range, the better, the eccenter is specified as a 1/2" or 12.7mm range.
Any situation with a low remaining range means that I have to take out a link couple during the chains normal lifecycle.
The 48/16 I had isn't listed since no option for a variety of reasons including a near-worst-case (at the front) of this initial position.
Odd numbers links are also no option since that would require halflink chain usage which has drawbacks of weaker, harder to use joint links and much more expensive. At least that's what I have read around.
So this all explains my 47/16 choice. I just don't have any better option, smaller is unacceptable, and achieving it along a smaller rear cog means faster wear but also problem with mounting it on the disc brake mount - the bolts would void the chain running over the cog, and only along some special provisions (countersunk bolt heads) possible. Less than 15 is just not possible.
The only somewhat possible alternative would be a 50/17 with chainring and cog (replacing the initial) mounted along a chain that already wore enough to give the chainring the frame clearance it lacked at a new chain. But frankly, lol, I have other things to do than wasting my time on such poormans ersatz-solutions.