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Yes, there are many ways to approach smaller compositions. Simplest may be to start by laying out the measures and noting where you want cadences and interesting harmonic ideas. Then fill it in. This is such a deep subject, the deepest it could be argued, I strongly suggest getting together with someone who teaches composition. And of course have fun.
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Alberto
I haven't gone through all ToneBase's courses, but there was a recent "intensive" on composing your own piano piece. The instructional videos are useful for the purpose, and they are still up for all to see on this thread: https://piano-community.tonebase.co/t/35y37j6/group-1
Also potentially useful, albeit not quite the same subject, might be the library section on Historical Performance and Improvisation: https://app.tonebase.co/piano/library/skills/theory-and-musicianship/historical-performance-and-improvisation (Noam Sivan's improvisation course was interesting.)
It would be super cool to see more composing-specific courses in the ToneBase library!
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I guess you mean etudes. There seems to little here so I would suggest checking out the youtube channel 'music matters' which is a UK instructor who has been youtubing free music lessons including beginner composition exercises for over 10 years with high quality content as he is also an ABSRM grader/judge. In particular he has some howto video/exercises on writing sentences, periods, double periods, using sequences, harmonizing, etc, which is likely what you mean, such as, "1 page piece" in classical style.