I suggest that you not try to measure what you asked about.

Because calculating theoretical frequencies and attempting to discern beat rates of fundamentals will not put you on a good path to learning how to tune pianos. It may seem correct to a rational mind with an awareness of string physics, but is not practical.

There are many ways to learn piano tuning, but I would suggest using the "ladder of thirds" technique of setting temperament. It uses coincident partials of different musical intervals in order to accurately account for both the requirements of equal temperament and piano string inharmonicity. Once you are able to set temperament, you expand it to the rest of the piano. That's the approach, in a nutshell.

There are many resources for learning this. The Piano Technicians Guild is one. There are many schools that will sell courses, and many are great, but you seem curious and resourceful, and they may not be necessary.

Good luck!

I suggest that you not try to measure what you asked about.

Because calculating theoretical frequencies and attempting to discern beat rate values will not put you on a good path to learning how to tune pianos. It may seem correct to a rational mind with an awareness of string physics, but is not practical.

There are many ways to learn piano tuning, but I would suggest using the "ladder of thirds" technique of setting temperament. It uses comparisons of coincident partials of different musical intervals in order to accurately account for both the requirements of equal temperament and piano string inharmonicity. Once you are able to set temperament, you expand it to the rest of the piano. That's the approach, in a nutshell.

There are many resources for learning this. The Piano Technicians Guild is one. There are many schools that will sell courses, and many are great, but you seem curious and resourceful, and they may not be necessary.

Good luck!