Is V12 better than S6 configuration?

For recreation, I'm trying to work out why &quot;advanced&quot; IC engines are V12's.&nbsp;&nbsp;I've read a 1950's theory of machines book that does Fourier analysis of straight 4s, 6s, radial engines and W12's, but not V12s.&nbsp;&nbsp;As far as I can tell, the lowest frequency of vibrations ought to be (for 90 degree V8 and 60 V12):<br>S4 - 2nd harmonic<br>V8 - 4th harmonic<br>S6 - 6th harmonic<br>V12] - 6th harmonic<br>But my pappy told me V12's were much better than all the rest.&nbsp;&nbsp;Now if S6's vibrate at 3rc harmonic, I'd be convinced, but the book says reciprocating engines only vibrate at even harmonics.&nbsp;&nbsp;But perhaps the book is being over-simplistic.<br><br>Simple pointers or explanations gratefully received.<br><br>Paul Gover<br>Jaguar driver (4.2 S6, 5.3 V12)