Re: [math-fun] The Saddest Thing about the Integers

I had the same idea -- a piano that's always in tune by flatting or sharping each individual note by whatever optimizes the harmony at a given moment. Of course, this would be a lot easier for an electronic piano than for a mechanical one. But I'd really like to see this for a mechanical one. --Dan On Wed, Dec 3, 2014 at 11:37 AM, Michael Beeler <mikebeeler@verizon.net> wrote:

Taking that further, perhaps there is a sounding-good function that gives the best frequency perturbations for all of the notes sounding at a given moment.