Moving away from all of the theory and textbook physics into real world situations, my experience with 4x10 + 1x15 rigs pretty much mimics the oft quoted wisdom of Talkbass: the 1x15 easily clips before the voice coils in the 4x10 are barely warm. I've also experienced the phasing issue firsthand. A few years ago, I went to a small music store to buy a Hartke HrDrive 4x10. While the store owner and I were hanging out as I tried it out, I told him that for poops and giggles, I'd try it with the matching 1x15. It was a night and day difference. All of that punch and clarity that the 4x10 had by itself completely disappeared when daisy chained to the 1x15. Instead, the entire rig sounded foggy and unfocused.
With that said, sometimes there are exceptions to the rule. I used to use an Aguilar S410 and GS112 to great effect. I think it worked so well due to the cabs covering somewhat different frequency spectrums. From what I understand, mixing Aggie GS410s with GS212s doesn't sound good due to the very similar frequency responses.
4x10s mated with 1x15s used to be great back in the day of the bi-amp days. The Eden T series were meant to be used in bi-amp situations. However, full-range cabs are so much more readily available in the bass world that unless you're using a dedicated woofer for sub-40hz frequencies, there is no longer much use for bi-amping with a stereo amp and a cross-over.
With that said, sometimes there are exceptions to the rule. I used to use an Aguilar S410 and GS112 to great effect. I think it worked so well due to the cabs covering somewhat different frequency spectrums. From what I understand, mixing Aggie GS410s with GS212s doesn't sound good due to the very similar frequency responses.
4x10s mated with 1x15s used to be great back in the day of the bi-amp days. The Eden T series were meant to be used in bi-amp situations. However, full-range cabs are so much more readily available in the bass world that unless you're using a dedicated woofer for sub-40hz frequencies, there is no longer much use for bi-amping with a stereo amp and a cross-over.