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If you like details. Vintage Friodurs are made of 440 C which is not functionally harder than most carbon steel.
If you're talking about newer exotic SS then it may be on par with carbon for a high...

Just a technicality but stainless razors are 'tougher' rather than 'harder'. They would usually be tempered like a 'softer' carbon steel razor. SS is abrasion resistant tho so can take a little...