The Nealon Equation
 y  =  (A*sin(B*x+C) + D*sin(E*x+F) + G*sin(H*x+I) + J*sin(K*x+L)) *  (M + N*x + O*x^2 + P*x^3 + Q*x^4) * atan(R*x) * atan(S*(BL-x))
 Nealon Resonator
 Calculated curve
 Graphed in Logger Pro
 y = (A*sin(B*x+C)+D*sin(E*x+F)+G*sin(H*x+I)+J*sin(K*x+L))*(M+N*x+O*x^2+P*x^3+Q*x^4)*atan(R*x)*atan(S*(20.1-x))
 Front (lauan) and back (copper) of another thin body Nealon Resonator.
 Back (Honduran mahogany) of a non-resonator instrument with the same shape.
 Back of the instrument shown above.
 This outline is created by plotting +y(x) and –y(x) in Graph and removing the axes.
 Total length  =  29.91 inches
 L
 x
 Length of the side around the perimeter.
 Nealon Resonator A .1957769 B -.9361852 C -3.203335 D .4075888 E .8057877 F 5.039549 G 4.322408 H .09507775 I 3.699719 J 2.170954 K .3080430 L -3.177518 M -.6046287 N -.06450537 O .04824956 P -.00597517 Q .0001856246 R 16.00042 S 8.550479 BL 20.1 A B C D E F G H I J K L M N O P Q R S BL .1957769 -.9361852 -3.203335  .4075888 .8057877 5.039549 4.322408 .09507775 3.699719 2.170954 .3080430 -3.177518 -.6046287 -.06450537 .04824956 -.00597517  .0001856246 16.00042 8.550479 20.1 A = .1957769 B = -.9361852 C = -3.203335 D = .4075888 E = .8057877 F = 5.039549 G = 4.322408 H = .09507775 I = 3.699719 J = 2.170954 K = .3080430 L = -3.177518 M = -.6046287 N = -.06450537 O = .04824956 P = -.00597517 Q = .0001856246 R = 16.00042 S = 8.550479 BL = 20.1