Seasonal pitch change: was -- Long term pitch drop, was: Type O

RicB ricb at pianostemmer.no
Sat Mar 3 19:56:22 MST 2007


                    	
 

	  	  	 
  	  	  	 
  	  	  	 
Symbols 	  	  	 
  	  	  	 
a = Speaking Length 	  	  	 
b = Back Length 	  	  	 
d = Bridge Deflection 	  	  	 
p = tuning pin length 	  	  	 
T = Tension 	  	  	 
L = String Length 	  	  	 
  	  	  	 
Initial Conditions 	  	  	 
Zero deflection;  d_0 = 0 	  	  	 
Tension is T_0 	  	  	  	  	  	  	  	  	  	  	 
L_0 = a_0 + b_0 	Wire Ø mm 	WCS mm^2 	  	E 	  	McFerrin E 	  	  	 
  	0,90 	0,64 	  	45000,00 	  	31023,63 	  	  	 
Formulas: 	  	  	  	  	  	  	  	  	  	  	 
  	  	T_0   lbs 	  	a_0   mm 	b_0   mm 	L_0   mm 	p_0 	  	  	  	  	 
E is taken as 45000 lbs / mm^2 	150,00 	  	150,00000 	50,00 	400,00 
200,00 	Hz_0 	  	  	  	 

	
	
	
	
	
	
	
	
	
	
	
	
	
	
	

	
	


	
	


	
	


	
	


	


	
	


	
	


	
	


	
	


	
	


	
		
	

 

	T_0   kgs 	  	  	  	  	1218,9515 	  	  	  	 
68,04 	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
d_1   mm 	  	a_1  mm 	b_1   mm 	L_1   mm 	DL_1 	Hz_1 	  	T_1 lbs 	Sin 
A_1 	Sin B_1
1,00 	  	150,003333 	50,01 	400,01 	0,01333 	1222,7952 	  	150,95 
0,007 	0,020
  	  	  	  	  	  	DHz_1 	DCents_1 	DT_1 Lbs 	aa_1 	ab_1
  	  	  	  	  	  	3,84 	5,450 	0,95 	0,38 	1,15
  	  	  	  	  	  	  	  	T_2  lbs 	  	 
d_2   mm 	  	a_2  mm 	b_2   mm 	L_2   mm 	DL_2 	Hz_2 	DCents_2 	153,82 
Sin A_2 	Sin B_2
2,00 	  	150,013333 	50,04 	400,05 	0,05332 	1234,25 	21,591 	DT_2 
_lbs 	0,013 	0,040
  	  	  	  	  	  	DHz_2 	  	3,82 	aa_2 	ab_2
  	  	  	  	  	  	15,30 	  	  	0,76 	2,29
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
T_1 kgs 	  	T_2  kgs 	  	  	Downwards force on the Bridge T_1 lbs 	  	  	 
68,47 	  	69,77 	  	  	4,02 	  	  	 
  	  	  	  	  	Downwards force on the Bridge T_2 lbs 	  	  	 
  	  	  	  	  	8,20 	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	 
  	  	  	  	  	 
  	  	  	  	  	 
  	  	  	  	  	 
  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 
  	  	  	  	  	  	  	  	  	  	 

	
	
	
	
	
	
	
	
	
	
	
	

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