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the idea of a interrupted heating isn't so much to get the spine to harden, but to get some heat into the spine so it doesn't act as a heat sink and rob the heat from your edge.

so you have a...

with that thin an edge, id be concerned with a couple things.

one is getting the body of the blade up to temp at the same time as that thin edge. you might try it with a forge, or a torch, and...