Stretch Vs.Temperament, (was Beat Rates)

[Ron Nossaman]

>Hmm... I am not sure just how much of a shared flexible
>termination the bridge represents here. At least in every
>textbook example in front of me the shared termination for
>two such oscillating systems is exactly that... the exact
>same spot. The most similar (visually) to this would be the
>hitch pin.. but that is a different matter entirely. The
>actual terminations of the two strings are separated by say
>5 mm space, and do not share the same bridge pins at all.
>Slight variations in bridge of many sorts can influence the
>situation as well. I would tend to think that the bridge
>does not entirely conform to the shared flexible termination
>for coupled oscillating systems, though perhaps it nearly
>does so. Another point would be that the systems (the two /
>three string segments comprising a unison) themselves do not
>always behave identically as separate oscillators if left to
>themselves. Their behavior is inconsistent enough to cause
>phasing inconsistencies that would not be uncommon.

Nothing is ever entirely anything, and if it has to be to be valid, then 
nothing is ever valid. I'm so glad we could clear this up so quickly and 
cleanly and get it out of the way. Thank you.


>Perhaps that partially explains why sometimes strings seem
>to quickly go into phase, and sometimes not, or for that
>matter appear to sometimes move in and out of phase ?

I don't partially think they sometimes seem to go in and out of phase 
unless they are mostly not in tune in the first place, or there's a false beat.


>The experiment you refer too was interesting though, and I
>would like to what would happen if one started methodically
>muting off different back scale segments to see how
>coincident partials as opposed to otherwise, effect your
>results.
>
>RicB

Nothing's stopping you, either now or the last time we discussed this.

Ron N