The sweetened tuning for a Peterson Strobe Tuner are mathematically optimized for a concert-sized ukulele. They have a tenor sweetener that you can download to your tuner if you use Google Chrome. (I do not.)
As far as "improving" the sound of your ukulele goes, every ukulele design and build has compromises. Especially if the instrument is built in a factory, albeit a small cottage industry one. Companies have to take into consideration production factors. Such as: materials, time each step takes, what is acceptable quality at each step, final sound target. How close is the end product to the design parameters. And lots more.
Your KTM-00 had to meet those parameters at each step of the way. But there is a range for being acceptable. For example a max and min acceptable thickness and shape for the "unibrace". Is the wood the right density for the brace? Is the glue the right temperature and consistency when applied? Ditto for every part for the uke. Is it assembled properly? Etc. If you think each part is mic-ed (micrometer measured) and adjusted for tone and fit, you are incorrect. What you have are skilled makers who use their experience to judge if things are correct as they make the uke. You could disassemble the uke and try to optimize all of the parts. Tone test the top. carefully reshape the unibrace for lightness and fit. (Assuming you know the design's purpose and how it works.)
In other words, all of the suggestions made are pretty viable. The really practical user-mods are: adjusting the action, ensuring correct intonation, leveling frets & changing the strings. Maybe changing the tuners. After that changing fret wires, bridge design, neck shape, adding a side port, are do-able, but have to be weighed with "is it worth the effort?"
All kinds of things you can do to optimize the comfort and ease of playing to your body and posture.
But by that point, you may as well just make your own uke to your specs.
A custom uke made by a luthier is the luthier's base design modified to your preferences. Seldom will it be a new design made from scratch to meet your requests. Even if it is, you are relying on the luthier's knowledge of what works and what doesn't. What woods meet their quality requirements. Etc.
As far as "improving" the sound of your ukulele goes, every ukulele design and build has compromises. Especially if the instrument is built in a factory, albeit a small cottage industry one. Companies have to take into consideration production factors. Such as: materials, time each step takes, what is acceptable quality at each step, final sound target. How close is the end product to the design parameters. And lots more.
Your KTM-00 had to meet those parameters at each step of the way. But there is a range for being acceptable. For example a max and min acceptable thickness and shape for the "unibrace". Is the wood the right density for the brace? Is the glue the right temperature and consistency when applied? Ditto for every part for the uke. Is it assembled properly? Etc. If you think each part is mic-ed (micrometer measured) and adjusted for tone and fit, you are incorrect. What you have are skilled makers who use their experience to judge if things are correct as they make the uke. You could disassemble the uke and try to optimize all of the parts. Tone test the top. carefully reshape the unibrace for lightness and fit. (Assuming you know the design's purpose and how it works.)
In other words, all of the suggestions made are pretty viable. The really practical user-mods are: adjusting the action, ensuring correct intonation, leveling frets & changing the strings. Maybe changing the tuners. After that changing fret wires, bridge design, neck shape, adding a side port, are do-able, but have to be weighed with "is it worth the effort?"
All kinds of things you can do to optimize the comfort and ease of playing to your body and posture.
But by that point, you may as well just make your own uke to your specs.
A custom uke made by a luthier is the luthier's base design modified to your preferences. Seldom will it be a new design made from scratch to meet your requests. Even if it is, you are relying on the luthier's knowledge of what works and what doesn't. What woods meet their quality requirements. Etc.