I will crank it up, just for fun. Where do you get you "silk thirds" if
I may ask?
Here's the part I don't really understand--on the harpsichord, the
diameter is irrelevant to the breaking point, within reasonable limits.
There is a drop-off scale that it determined merely by the length, the
material, and the pitch.
So you could not, I assume, use like a 0.10 nylon, gut or whatever
string and tune the lute up an octave.
I was just curious is someone had mathematically figured this point out
as has been done for harpsichord strings. Seems like a handy figure to
know. I know Mimmo has figured this number out in a general way for gut
as for gut
I quote Mimmo:
"When a string made from any material is progressively stretched
between two fixed points (which determine its vibrating length), at a
certain moment it reaches a frequency at which it breaks. This point
corresponds to the breaking load of the string, which in the case of
gut is about 32 kg/mm^2. The value of this limit frequency, known as
the 'breaking frequency', is completely independent - strange as it may
seem - of diameter, as may be easily demonstrated either mathematically
(applying the general formula for the strings) or experimentally. This
limit frequency is in direct proportion to the vibrating length of the
string. In other words, the product of the vibrating length - in metres
- and the breaking frequency - in Hz - is a constant defined as the
'breaking index'. The average breaking index of a modern gut string in
experimental conditions is 240 Hz/m, obviously corresponding to a
breaking load of 32 kg/mm^2."
__________________________________________________________________
From: David van Ooijen <[email protected]>
To: David Tayler <[email protected]>
Cc: lute <[email protected]>
Sent: Mon, June 27, 2011 11:39:15 PM
Subject: Re: [LUTE] Re: nylon breaking point
On 28 June 2011 00:43, David Tayler <[1][email protected]> wrote:
> David--how high would a silk treble go?
Untill it breaks. Sorry, no idea, I've never put silk on a lute. On my
77cm shamisen a standard silk third (the highest) string goes to d'
and beyond. I've never tested how far beyond. Wat thickness? It has a
number: 13 (nylon equivalent around 0.38mm). I have no idea about
thinner silk strings, not for koto anyway.
0.36mm nylon / g' / 80cm / 415Hz
Should work in theory, but you'd better have spool of spare fishing
line ready. The Kuerschner slide rule says you can take nylon up to f'
(80cm, 415Hz), putting you a whole tone in the danger zone, same goes
for carbon, but steel should just do it.
good luck and let us know
David
--
*******************************
David van Ooijen
[2][email protected]
[3]www.davidvanooijen.nl
*******************************
--
References
1. mailto:[email protected]
2. mailto:[email protected]
3. http://www.davidvanooijen.nl/
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