| I think you may be confused, typically (if not always) playing closer to the bridge will give a more nasally, middy, trebley sound with a grittier and sharper attack. Playing closer to the Neck will give you a fuller, warmer tone with a somewhat softer attack. When you're talking about wavelength, you're talking also about pitch. I do not believe that the wave length of an open e for example will change at all no matter where you pick. Just pull out your tuner, it'll give you an E no matter where on the string you attack.
The changes that you're hearing are changes in timbre (pronounced "tamber") which is to say the character of the sound but not the pitch itself. A bass and a tuba can both play the same note but will sound waaaayyyy different, that's timbre.
I'm no expert on audio physics but I think the reason for this has to do with a few things. One is the location of your attack in relation to the pickup on your bass. Another (more important) factor is that close to the bridge, the string vibration reaches the bridge and turns around to go back much faster than if you play on the neck. Just try this with a pencil on the edge of a desk. Strike the desk very close to where your fingers are touching the pencil and then very far away and notice the difference in timbre.
Hope that helps clarify, and Welcome to Talkbass!!!
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