I have this idea that as the enclosure gets larger, the bass frequency and amplitude should extend downwards, proportionally to size, but it will still maintain that 'tight' bass, in the right phase. Is this 'sound' thinking?
It's not quite as simple as that. For each woofer, there is a range of enclosure volumes that can work. Within that range, bigger is usually better, but not always. You must know the so-called Thiele/Small (T/S) Parameters for a woofer, decide whether a given woofer works better in a sealed or ported cabinet, decide on what overall Q value you want in your speaker, and then calculate the enclosure volume.
A good list of verbal definitions of the various Thiele/Small (T/S) Parameters can be found here:
Choose the most appropriate loudspeaker for a particular enclosure by understanding louspeaker performance data using Thiele-Small Parameters.
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To design a woofer enclosure, you must know a woofer's Fs, Vas, and Qts
In general, Qts values of 0.4 or below indicates a woofer is well suited to a vented enclosure. Qts between 0.4 and 0.7 indicates suitability for a sealed enclosure. Qts of 0.7 or above indicates suitability for free-air or infinite baffle applications. However, there are exceptions.
The first 2 or 3 chapters of
does a very good job of explaining how to calculate cabinet volume for bass drivers.