Hi. Thanks for all the suggestions. I'll try them the next time I'm at the piano. Your posts have made me realize that I don't really know that much about my evenness problem, and so I'll ask my teachers more questions. I'm unsure if it's a purely dynamic or rhythmic problem.
Here is the problem, and your earlier statement gave it away:
My teacher said I play unevenly and that exercises (including hanon) would fix it
I am referring to the first part of the statement. Does this mean that you yourself are unable to detect unevenness? If so what is the reason? I’ll give you a couple of options:
a) You are so preoccupied with hitting the right notes and moving around that you can’t listen to yourself. If that is true, don’t be ashamed, because it is really tough to carefully listen to oneself play. However, this ability is absolutely indispensable for making progress. Making music is an audible activity. Everything is judged by how the ear perceives it. So, you must make an effort to get to a stage where you can actually listen to yourself play. How can that be done? In my experience, not knowing the music is the most prevalent reason. Only if you don’t have to spend resources on figuring out what notes are next can you concentrate on other things. Not having worked out the correct motions is another problem. Early on in the learning process, with the help of your teacher, solve all technical problems. You need to know what the correct motions are, before starting to ingrain anything. Once you have the motions down and the music thoroughly memorized (unless you are a perfect sight-reader), you can concentrate on all the other aspects, such as dynamic and rhythmic correctness.
b) you are able to listen to yourself, and you think you play evenly, but your teacher or a recording of yourself tell otherwise. Now that’s a serious problem. This is not a technical problem, but rather a mental problem. Eartraining might help for dynamic evenness, and focussing on correct rhythm as explained in numerous threads my help you as well. But keep in mind that the issue is not so much in your fingers, but in your head.
c) you can tell when you are uneven, but your fingers just won’t listen to you. This is finally a technical issue that can be tackled by working on your motions. It may also be related to not knowing the music well enough (see under a)
I'm playing Invention no.1, Moonlight (first mov.), and Raindrop Prelude. She told me that when I play the Invention, I make certain notes louder without noticing and thus disrupt the evenness and rhythm, and that I need to make the left hand more even when playing Raindrop (why I need to she didn't say)
Dynamic evenness is not a problem in itself, but part of a bigger issue: control over the dynamic of every note, whether even or not. The goal is to be able to play every note with the same loudness, or generating a smooth crescendo/decrescendo, or making a perfect transition from p to f, etc. Full control over dynamics is a skill that only very advanced pianists have, so don’t despair. In order to develop this skill, one, again, has to be able to carefully listen to one's own playing. If you can’t detect unevenness yourself, you can’t tackle it. No exercise will help you here, because you can’t control dynamics just by controlling the force that goes through your fingertips into the keys. Instant feedback is necessary so that adjustments can be made on the fly. This is only possible if the ear works closely, and in real time with the rest of the playing apparatus.
This is embarrassing, but I've never done scales, arpeggios, etc. My teacher probably meant these too when she said I needed exercises.
As said, they may or may not work. Just make sure you diagnose the problem first, then pick an appropriate way to solve it.
Also, I have a digital. My teacher says my evenness problems come from that and I need to get an acoustic for these.
Now, this, IMHO, is absolute bogus and almost reason enough, IMHO, to boot the teacher.
There is no reason one wouldn’t be able to tackle these problems with a (decent) digital piano. Granted, you won’t be able to make progress beyond a certain stage, but one can acquire a lot of pianistic skills before one has to move on to an acoustic. In case you are asking at what moment you need a new instrument: it’s the moment where you can imagine sounds in your head that you would like to produce, but that your current instrument is unable to produce.
Have fun and enjoy!