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reply to Carter re:aluminum bars

🔗Darren Burgess <dburgess@xxxxxxxxxxxx.xxxx>

3/1/1999 3:35:45 PM

>
> I don't think any of these point to the solution to your problem.
> It sounds to me like you're in uncharted, and very interesting,
> territory in trying to devise a JI tuning for bars with inharmonic
> partials.

That is an interesting idea -- devising the tuning based on the available
partials of an inharmonic bar. My approach has been to find a way to tune
the partials to small number ratios in the series.

>
> One suggestion: the partials for an ideal free-free bar are:
> f, 2.76f, 5.41f, 8.94f, 13.35f ....
> This sequence is approximated to within 0.5% by the integer series:
> 9, 25, 49, 81, 121... (the squares of the odd numbers)
> You might try using these integers as starting points for
> your tuning.

I don't understand this idea. I get that the frequency of the fundamental
is multiplied to get the frequency of the partials and that 9*2.76 is just
about 25, etc. How would one begin to develop a tuning based on these
frequencies?

Darren