Stretch: What's it all about?

Ron Koval drwoodwind@hotmail.com
Tue, 25 Feb 2003 17:31:15 +0000



D. B. Stang stangdb@voyager.net wrote:
I am kind of a newbie, so if this topic is a dead horse that's already
been beaten a few times, forgive me.
What I would like to do is briefly describe my understanding of stretch
and ask for comments about whether I am getting the idea or not.
<snip>

Hey, welcome aboard, D.B. (any name you'd care to share?)

It sounds like you have a good idea of the basics......

Try and picture this:
Each and every string has a ladder of partials that vibrate when a string is 
struck.  The partials are:
1. fundimental (the one our brain tells us IS the note)
2. octave above 1
3. octave plus a fifth above 1
4. two octaves above 1
5. two octaves and a major third above 1
6. two octaves and a fifth above 1
(that's enough for now....)


Now, just as a ladder has rungs spaced out, these partial ladder rungs are 
spaced out, however, not in the mathematical, whole number progression that 
was origionally thought.  That's inharmonicity. Each of the higher partials 
vibrates a little sharper than predicted. In addition, the spacing of the 
rungs will vary from note to note. This is why there are many different 
solutions to the piano tuning puzzle.

When trying to come up with a tuning that 'matches' a piano, the problem 
comes when trying to match up rungs from multiple notes.... because the 
spacing of the rungs is different, they can never match up at all the 
partial ladders.  Enter RCT. (and other machines)  There are different 
stretch options to try to match technicians' own tuning preferences.  Some 
people may prefer to have purer single octaves, when matching a particular 
interval, (ie. 2:1 or 4:2, or 6:3) at the expense of the double and triple 
octaves.  Conversly, other techs may choose to try and get the best double 
and triple octaves, while letting there be a very slight beat to the single 
octave.

There are some pianos that there are substantial differences at the single 
octave level between the 2:1, 4:2 and 6:3 octave types.  In effect, there is 
no place that will make the single octave pure.  Sometimes it becomes a 
choice to find the place that will make it the "least bad".  These are the 
type of pianos that are the most challenging, especially with the older 
tuning gear that only focuses on a single partial when tuning.

So yes, you are on the right track......
Ask more, search the archives, hopefully it will make sense!

Ron Koval
Chicagoland

_________________________________________________________________
Tired of spam? Get advanced junk mail protection with MSN 8. 
http://join.msn.com/?page=features/junkmail


This PTG archive page provided courtesy of Moy Piano Service, LLC