The title can sound broad, but my question is not. I have a background of 4 years of solfege that I have done a long time ago. A few years ago I became a big fan of piano, I spent months listening to the integral of Schumann Piano Works by Wilhem Kempff, and since then I've been busy listening all the piano works of Schubert, Liszt, and a couple of other artists.

Today I am full with inspiration and I have piano melodies running in my mind all the day long. It might be simple themes, but most of the time it is long and complex ones, with both hands, variations etc... I also have inspiration for songs. At some point, I realized that I was certainly wasting that and decided to record my self singing these melodies. As a result I have lot of them in my smartphone.

My problem is that I have great troubles to write them on a music sheet. I am not fluent at all. I don't know what note it is that I have in my mind. A few months ago, I downloaded the software Musescore to help me create the sheets. The great thing is that it allows me to recognize one note at a time by ear... but I am very slow with this process. And I can't describe how frustrating it is.

Today I wonder which one of these two assertion is true :

1/ If I continue writing by ear, and perhaps do it more regularly I will eventually become fluent.

2 / There is a magic book/method that I haven't heard of that will help me progress more quickly.

So far the resources I've seen are mainly about composition theory, techniques to get inspiration etc... but my concern is only music writing. I need to write down what I have in my mind.

What would be a standard way to achieve this result ?