Hello guys, Just an observation: the suggested average of the Breacking Index of a modern gut string is 260 Hz/m. However, the full range of modern lute strings ranging between 240- 300 Hz.mt. This is true for the range of lute 1st string gauges. I mean 38 till 46 mm (more or less), were strings are made with a very low twist and gut is made harder by chemicals. The Breacking Index drop in the case that we are speacking of thicker 1st strings, were they are made with more twist than the lute chantarelles. Example: on the 1st bass gamba strings the Breacking Index drop of a semitone-tone than the lute 1st strings. In fact this is function of some technological things: the twist quantity and the use (or not) of some substances ables to do gut harder etc etc. If we go in the range of the violone 1st strings the breacking Index drop again and again because such strings are made very very high twist and without any chemical tretment able to do gut stiffer. This is why, in my wiew, the calculated Working Indexes (the product of the string scale X the supposed frequencies of the 1st strings) of the bowed instruments in the Praetorous tables drop step- by -step when the instrument became longer. So on Violins we are in the average of 210 HZ/mt while, on violones, we drop to arround 180 Hz/m only. Ciao Mimmo alexander ha scritto:
No one seems to object, and the talk continues as if the very people that gave u s all the amazing instruments we play, were totally ignorant as far as the oh, s o stupid "tune almost to the breaking point" line goes. The simple truth of the matter is that any string made of the same material will break at the same pitch , no matter its' diameter, as long as the string length is the same. Some here s till remember Eph Segerman?.. "The stress on the string (represented by S) is the tension divided by the cross-sectional area, so S=T/A. The tensile strength of a material is defined as the stress at breaking (which we can represent by SB). Then the breaking frequency, represented by fB becomes: fB = (1/2L)sqrt(SB/r). This demonstrates that the breaking pitch is inversely proportional to the string stop." In the formula, (as can not be seen here, unfortunately) the invert relation is only between the pitch, length and the breaking point stress. Diameter plays no role. All this means a very simple truth - all the instruments of the same mensu ra tuned close to the breaking point of a given material, will have the same pit ch, to the same degree as an organ pipe of the same length and diameter will pro duce the same pitch, be it in France or England. I hazard to say that, among pro fessionals who used "no rotten strings" and preferred particular strings made by the same makers and even at particular time of the year, the pitch standard was no worse then nowadays. alexander On Tue, 17 Feb 2009 18:29:32 -0800 howard posner [1]<howardpos...@ca.rr.com> wrote: On Feb 17, 2009, at 5:43 PM, [2]chriswi...@yahoo.com wrote: How many of us really follow this "fundamental of lute stringing" today? We tune our instruments to arbitrarily agreed upon pitches like 415, 392, 440 etc because its practical. If we were to do the truly historical thing, Jeff's G lute would be at 449, Joe's at 412, Tina's at 463 and Bill's at 398. That wouldn't have worked in 1610 either. They all had to use an agreed pitch if they were going to play together, unless they were into the whole John Cage thing. -- To get on or off this list see list information at [3]http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html Messaggio e-mail verificato da Spyware Doctor (6.0.0.386) Versione database: 5.11780 [4]http://www.pctools.com/it/spyware-doctor-antivirus/ ________________________________________________________________________ No virus found in this incoming message. Checked by AVG - [5]www.avg.com Version: 8.0.237 / Virus Database: 270.10.25/1957 - Release Date: 02/17/09 07:07 :00 Messaggio e-mail verificato da Spyware Doctor (6.0.0.386) Versione database: 5.11780 [6]http://www.pctools.com/it/spyware-doctor-antivirus/ Messaggio e-mail verificato da Spyware Doctor (6.0.0.386) Versione database: 5.11780 [7]http://www.pctools.com/spyware-doctor-antivirus/ -- References 1. mailto:howardpos...@ca.rr.com 2. mailto:chriswi...@yahoo.com 3. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html 4. http://www.pctools.com/it/spyware-doctor-antivirus/ 5. http://www.avg.com/ 6. http://www.pctools.com/it/spyware-doctor-antivirus/ 7. http://www.pctools.com/it/spyware-doctor-antivirus/
