Alex, as much as I admire and appreciate the work you've done on this, I have to confess that I just don't understand Japanese.
In seriousness, I can read, mathematically, the difference in your second factors -- 1.259 vs 1.25, for instance, obviously a significant difference, because when you're cycling hundreds of times a second, those 9/1000s add up fairly quickly and throw the harmony out of whack.
I guess that as someone more fluent in the language of music than the language of mathematics, I experience music as qualia rather than abstraction?
In seriousness, I can read, mathematically, the difference in your second factors -- 1.259 vs 1.25, for instance, obviously a significant difference, because when you're cycling hundreds of times a second, those 9/1000s add up fairly quickly and throw the harmony out of whack.
I guess that as someone more fluent in the language of music than the language of mathematics, I experience music as qualia rather than abstraction?