Thank you Jean. The photo is making a lot of details look very off, chiefly the kiku which looks much more amateurish than it really is.
The link is showing a blade by the first generation Yoshimichi, but I think mine is from the 4th Kyoto generation. I have compared it to many blades by that specific smith, and find the characters to be an exact match, with the kiku being the one detail that varies the most among different examples, namely the way the button is carved in.
To illustrate my point, I made a superposition of this oshigata and the mei of the present sword. https://www.aoijapan.net/katana-kikumon-tamba-no-kami-yoshimichi-kyo-fouth-generation/