The measurements in a 6th aren't always equal beating

There is an error at 6:09 where I called a minor third a major third. OOPS!
Most teachers teach that when using a M6 as a measuring device, the lower m3 should equal he upper M3, and that the outer M6 should equal the inner M3 a whole step up from the bottom. Rick Butler and Mark Cerisano have told me in the past that this isn't exactly correct. I assumed it was because of inharmonicity shifts, but this revelation proves that it's more than that. They can't be equal except in the lower half of the piano where 6:3 octaves are predominant.

[@ElikemTheTuner]

A demonstration where you actually tune it to show the difference it makes in beat speeds would be awesome

[@PianoTechMaggie]

@@ElikemTheTuner Ok!

[@tony5833]

“A gnat’s fart” 😂
Thank you so much for your knowledge and experience, I always learn something when I come here!

[@FlyWithNoam]

I don’t think anyone ever said the outside 6 and inner 3 are identical. They are not. They are extremely close. Regardless how you made your octave, they will be extremely close. I think outside 6 and inside 3 is just a tool to see if you’re way out of wack, or close to getting things right.

[@PianoTechMaggie]

@FlyWithNoam Obviously so, but I have been told they should be equal by many. My hubby did the math without inharmonicity and they came out equal to the tenth decimal point, then deviated after that. That's pretty darn close! Of course, that's without inharmonicity or inharmonicity shifts. 😉 Glad you already know this, but I'm putting it out there for those who were taught what I was taught. I have one teacher friend who I trust a lot who says they should be pretty equal, but not necessarily the lower m3 & upper M3. I've been thinking about making an addendum about that. I won't have time to work out the details for quite a while. 🫤

[@FlyWithNoam]

@@PianoTechMaggieit’s a coincidence the outside 6 is somewhat equal to inside 3rd. Nothing mathematical. Just coincidence :)nothing fundamental.
The old Steinway method of using 4th and 5ths is deemed very imprecise. But the fact is that it yields to and extremely musical temperament. I suggest you try it for fun?