13C26 (and its predecessor AEB-L) have almost no carbides at all, because there's purposely not enough carbon in them to ever form carbides with the chrome (just under .7%... just enough to help the steel get good and hard, no more). All the chrome is free, specifically for corrosion resistance, and specifically not for carbides. That's the exact reason they were designed. To have a very fine-grained simple carbon steel with, essentially, a lot of free chrome mixed throughout to shield it from rust. I like to refer to that whole class of alloys as "the stain-resistant steels for people who don't like stainless steel."
On the other hand you'll see tool and "stainless" steels approaching 2% carbon in some cases; that doesn't help the martensite matrix itself get any harder. The extra carbon in those instances is there specifically to form carbides with large amounts of chrome, vanadium, molybdenum, etc.
13C26 has ~0.7% Carbon so that it DOES form carbides to increase wear-resistance but they remain sufficiently small and dispersed to avoid loss of toughness or ease of sharpening, and the level is low enough that not much chromium is pulled into carbides so that corrosion-resistance remains relatively high. Add much more carbon and the chromium gets pulled from corrosion-resistance to carbide-formation, and chromium carbides have a tendency to aggregate, they are also larger and softer than vanadium and tungsten carbides.
But add LESS carbon and you gain MORE corrosion-resistance and toughness and ease of sharpening at the cost of carbide-formation and wear-resistance. 12C27 and 12C27M (or 420HC) have decreasing levels of carbon (0.6 and 0.5) for
exactly that reason - tougher, more stainless, but not as strong or wear-resistant when optimized for hardness.
S-7 shock steel hardened/tempered to 56-58 Rc is among the toughest steels used in knives... it is 0.5% carbon and is characterized by
~2% total carbide volume without the presence of so much chromium (a potent carbide former).
A2 Tool Steel has ~1% carbon and at ~60 Rc is characterized by
~5% total carbide volume.
M2 Tool Steel has ~1% carbon but also has more tungsten and vanadium that help it achieve closer to
10% total carbide volume at 60-62 Rc.
CPM-10V has ~2.5% carbon and ~10% vanadium to achieve ~15% total carbide volume.
WC-Co hard-metal diatome blades are among the finest-edged I've ever used, can be ~100X sharper than
ANY steel knife, and they are
>95% tungsten carbide.
Carbide is many times harder than the steel matrix, it can take a MUCH finer edge than the matrix, so the finest/keenest edges come from the highest carbide blades... but the edge is not automatic, it must be
achieved through a process, i.e. sharpening = forming that ultra-fine apex. WC-Co blades are sharpened on sharp diamond and CBN to achieve their incredible geometry. Using those same tools on steel will never achieve the same level, but the more carbide present the more of the apex can be made to that level keenness. So more carbide = keener achievable edge...
in theory.
In
practice most users neither
need nor are able to
achieve the level of sharp that those high-carbide materials can provide. Heck, using a butcher's rod can align a softer, weaker steel to face-shaving keenness with a few swipes, a technique that will NOT work on materials with much higher carbide loads. Try sharpening a thin, hard carbide-loaded apex with a dull or overly soft abrasive and you'll only knock (chip) the carbides out of their binder and ruin the fine apex, but the same abrasive might easily plough through the matrix of a low-carbide blade to produce a finer edge. That finer edge will not be as fine as the high-carbide edge
could be made IF the user had the proper tools and technique, but it's usually sufficient for their needs and that ultra-fine edge would likely be lost on the first cuts through tough material anyway. *shrug* So in practice, low-carbon / low-carbide steels like 420HC and 1095 etc. will more easily take a keen edge than high-carbide steels. But Twindog is right, with better equipment and technique those high-carbide steels can get just as keen if not keener.