Klarinet Archive - Posting 000187.txt from 2002/05

From: Tony@-----.uk (Tony Pay)
Subj: [kl] The 'best' set of tuning rings (not an advert:-)
Date: Tue, 7 May 2002 17:41:14 -0400

On Tue, 07 May 2002 06:32:27 -0400, bhausmann1@-----.net said:

> Usually a set includes graduated sizes. My three are .5 mm, 1.0 mm,
> and 1.5 mm thick. By mixing and matching, that gives you everything
> from .5 to 3 mm in .5 mm increments.

Can't resist saying that a better three would be .5mm, 1mm and 2mm.
That gives you everything from .5mm to 3.5mm.

Because any whole number has a binary representation, the best choices
are in the ratio:

1:2:4:8:16:...:2^(n-1) for some n.

That gives you all the whole number multiples of the smallest ring up to
2^n - 1.

Of course, even 4 rings is more than enough for one clarinet. A set
consisting of .5, 1 and 2mm plus one of 4mm gives you all the multiples
of .5mm up to 7.5mm!

Tony
--
_________ Tony Pay
|ony:-) 79 Southmoor Rd Tony@-----.uk
| |ay Oxford OX2 6RE http://classicalplus.gmn.com/artists
tel/fax 01865 553339

.... I'm out of bed and dressed. What more do you want?

---------------------------------------------------------------------