One way you might try to test this is to de-tune them about 1/2 step and then tune them an half-step higher. If either test gives you the kind of sound you seek - perhaps you need a string of the appropriate pitch that is in tune at higher or lower tension.
I have 4 violins and although they are not all strung with the same kinds of strings for very specific reasons, they have all sounded very good with Evah Pirazzi Gold G and D strings.
If the balance is off, it’s more of a setup/adjustment issue. It’s likely that the soundpost needs to be in a different position to accomplish what you want. Once you have the balance right, changing string sets can allow you to adjust overall darkness/brightness.
Although my last installation of cello strings (Rostanvo strings) has worked great as unmixed sets (on 3 different cellos, my first "straight" set in over 50 years (since I quit gut and tried a set of Dominants on my first cello.. Also straight sets of Warchal Timbre are working great for me on 2 violins. Any set seems to work on one of my violas. My other 2 violins and one viola seem to work best with mixed sets.
What you write about breaking up string sets for installation may be true for some instruments, it is not true for all.
Some years ago several issues of the SHAR catalog actually described the strings used by their employees and mixed sets were typical.
I have and really like Pi strings (including the E), and my luthier suggested a slight adjustment to the sound post for exactly that reason.
He sure has my encouragement to give that a try. I worry a little that it may have a bit of a deemphasizing effect on the A and E string. But as I indicated, it's worth a try.
Thomastik finally got the formula right for a complete cello set with Rondo. That set has become quite popular. For a little while,
Pirastro’s new set got some attention as a complete set, but interest seems to have waned. Spirocore/Larsen is still the leading set in terms of demand, but Rondo is making up ground quickly.
Mixing and matching strings doesn’t work as simply as many assume; changing one string doesn’t just modulate the sound of that one section of the sound spectrum—it affects the rest as well. It’s important to also keep in mind the bow response to the string. I come across so many mixed sets that just fight each other rather than working in concert. If you’re trying to emulate the sound of another violin (assuming anything like that can really be done), just switching strings isn’t going to do it. The instrument has its own limitations, some of which may be related to setup, some to the body of the instrument itself.
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