Tuning Question

[Newton Hunt]

Hi Richard,

The minor third inverted into a major sixth is a valid test of an octave at and
below the temperament because it reflects the 6:3 octave.  But, the minor sixth
should be slower than the sixth.

Example: C2-Eb2 minor third and Eb2- C3 major sixth the minor third should be
faster to expand the octave at the 6:3.

Bear in mind, the minor third is a contract interval the sixth an expanded one.

		Newton

Richard Brekne wrote:
> 
> Hi Folks... gee...perhaps I get to stay in touch long enough this time to
> actually get a couple thoughts from you all on something.
> 
> I was doing some thinking on some of the neat little ways different techs have
> of checking out a tuning during the exams, and tried out one little test as
> part of a tuning.
> It is as follows. For any given note, the minor third above should beat just a
> bit quicker then the major 6th above that same note. Ok.... so in tuning the
> tenor and bass,
> moveing downwards note for note from the just finished temperament I tried
> simply comparing these two intervals and leaving the note to be tuned such
> that the Major
> 6th above was just a tad bit slower then the minor 3rd. I didnt do any other
> checks.. just barely listened to the octave and whipped out the tenor / bass.
> Then I went
> back and checked. I was suprised that I  didnt really need to do much of
> anything. Really really even thirds and tenths all the way down. Best of all
> this was very easy
> to hear and judge.
> 
> So what I want to be certain of is just how valid this is... Is it always such
> over the entire range of the piano, and for every piano, that the minor third
> shall beat faster
> then the major sixth ?  If so is can the difference be expressed in some sort
> of percentage figure or the like. If there are exceptions then what and why?
> 
> Just musing as usal
> Ric B