Oh boy!, I kind of told myself I would just leave this topic alone in the future, but I like the way Mr. 69 asked for input and he deserves some reasonable explanations along with what he may hear elsewhere. So if there are any zealots waiting to pounce, hit me with your best shot but I doubt I will learn to keep my mouth shut any better after the assault

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To some extent I agree with the replies so far. Much of what is accomplished with triple quenching can be done in the normalizing stages. Folks working with steels beyond their tools ability to properly treat may get a boost from doing some things more than once, if they are careful. Much of the perceived benefits of an exaggerated nature from multiple treatments are simply that- exaggeration or more often misinterpretation of cause and effect. A 20% increase in any property over the controlled baseline is interesting and perhaps worth pursuing, 100%, 200% or more, stretches credibility and is most likely error or slick working of the numbers for marketing.
Now with that being said, a closer look at each is warranted.
Triple normalizing- this can have an effect on the steel in a couple of different ways the two most prominent would be grain size and carbide condition. If you have heavy banding or other segregation in a high carbon steel, heating it above Accm (the upper critical temp for a steel, which is much hotter than hardening temperatures) will dissolve the current carbides and put everything into solution. Quickly cooling it in air from this condition will keep it all evenly distributed and fine, but it will not help with grain size, in fact it will increase the grain size a bit, if this treatment is then followed by a couple of cooler heats the grains can then be recrystalized into a finer condition. This is the big selling point of the triple quenching crowd, but normalizing will do it with much less stress on the steel and without buggering up your finished blade in the final sequence. Also bear in mind that there is a reasonable size for grains in most steel applications and taking it farther just to boast about the finest grain around is merely overkill and can even have some negative side effects. So refine the grain to a good working size and move on. The real challenge in proper normalizing is in the carbides, grain refinement is rather elementary since it happens every time you heat and cool the steel at a reasonable temperature.
Triple quenching- more of a marketing buzzword than anything else, in my humble opinion. It is basically doing much of what should have been done with good normalizing, but can push grain size down much faster due to increased stress on, and strain within, the steel but all of us know what this also leads to when it gets out of hand. Many of the wild claims attached to it that are not error in testing can easily be attributed to the elimination of other problems that were not taken care of in earlier heating operations. Guys who are working with carbon rich steels that require accurate and extended soaks may find that repeating the austenitizing and quenching procedure will allow them to put much more carbon into play without a proper soak than if they only did it once. It is in this part that the sayings about “doing it right the first time” apply the most.
Triple tempering- this one has some merit as well, but in a very technical sense if you could it all right the first time the other two wouldn’t count here either, unfortunately even with the best of heating equipment we cannot accomplish everything that would be best for the outcome in one heat. Almost any steel above .85 carbon or having added alloying will tend to retain some austenite, many of the ones we bladesmiths work with have it in such small percentages that it is inconsequential. When we temper a freshly hardened piece of steel we allow the carbon to move in very small and controlled ways, when the leftover austenite loses carbon in tempering it becomes less stable and can kick over on cooling. Now you will have a tempered blade with tiny bits of fresh untempered stuff that just kicked over, so the next tempering will cure this. There will also be a switching from one atomic stacking to a bit more stable one, and time at temperature seems to be a finer tuning than just higher temperatures so your results can be better by spending more time at it instead of just going for hot, hot, hot.
For what it is worth I keep a log in my shop of every single thing that ever goes under my Rockwell pentrator, in hopes that one day that mass of data will be handy. The one constant observation that I have made is that multiple temperings seem to have a very nice “evening” effect on the readings. As quenched I may get a range from 65HRC to 63HRC on a piece, but after the second tempering the range will narrow to one point of deviation, and on the third the entire piece will give me almost the same reading (less than .5 HRC).
I triple normalize (or however many time sit takes). I triple temper because it is nice to walk in the exact HRC you want while gradually bumping up the temperature, and I cannot ignore the equalizing effects. I do not triple quench, because I feel I accomplish what I need in the normalizing stages and then keep it there with the specific anneals I use. I do not have a problem with people triple quenching if they like in order to get down what didn’t happen in the normalizing, but do I have to admit to having a problem with people making some of the rather shameless claims about it if they do. The operations I have seen a benefit in will give a moderate increase in some properties that I like, nothing supernatural or even all that noticeable to the average objective user, but it gives me that little extra satisfaction
