What makes a Double bass good for Jazz or Classical?

[Arnold Schnitzer]

When you talk about a good jazz sound, what do you mean? Old style thump, whining growl, fat and punchy? Different preferences would dictate the maker's approach. For example, if a client told me he/she wanted a strong upper register and moderate bottom, I would increase the arch height and keep the top a bit thicker. The opposite for a bottomy, thumpy sound...