Re: 5-string scale length
This conversation really takes us into physics, doesn't it?
It seems Builder 1 offers an opinion based upon his ear, which is most likely due to how he sets up his instruments.
Regarding Builder 2, there were a lot of things that just did not sound correct. I dug out my old physics texts and looked-up some old equations. From my physics book, frequency = (1/2*L)*(sqrt(T/mu)). L=length, T=tension, mu=linear density So--if everything else is held constant: 1.) a longer string produces a lower frequency. 2.) a lower tension produces a lower frequency. 3.) a lighter string (lower string density) produces a higher frequency. If a string is plucked producing waveforms (with the associated fundamentals), then that waveform will produce a certain frequency. The the string should vibrate at said frequency. In other words, if you want frequency x, you will manipulate the tension, length and density to produce the waveform you desire. Even more simply, one string should not "vibrate" more than another if set-ups are different but designed to produce the same frequency. Phweew,...that kind of hurt, and I hope I got it right. College physics was a long time ago.
In the end, I think Builder 3 has it correct.
Thanks,
Travis
2006 Weber Gallatin, 1984 Flatiron 2MW, Wendler #194, Schwab #177
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