How do you become a piano virtuoso?
Same way you get to Carnigie Hall; PRACTICE PRACTICE PRACTICE. Most piano virtuosi begin at a very young age. They will often have parents with keyboarding skills themselves who can teach the young music student. Over years of practice and practical lessons advancing the skills of the student (often through private study with a college-level professor or a professional keyboardist), the student can earn the title of virtuoso. However, at this point I must recognize that virtuosi are traditionally recognized as those with an immense amount of natural talent. This talent DOES need to be nurtured and guided to come to fruition, but it is often unlikely that someone will purely be taught how to be a virtuoso. This, by default, makes "becoming a virtuoso" a practical impossibility; even though it CAN be done.
No. A virtuoso is a performer who is exceptionally good at their instrument; it can be a noun (Ritchie Blackmore is a guitar virtuoso) or an adjective (Ritchie Blackmore put in a virtuoso performance). A solo is a part of a song played by one instrument or sung by one voice (guitar solo). However, you can have a virtuoso solo.
A piece that improves your piano (finger) technique. Things like smooth scales and runs, good articulation and good strength (and articulation) are included in a book called "Hanon: The Virtuoso Pianist." But any book that includes any of those things are considered a piano technique book...and by practicing a few every day, you're supposed to get some good results.
Beethoven was a prodigiously gifted musician, and was far better-known as a pianist in 1790s Vienna than he was as a composer. That came later, but his fame in Vienna spread as a result of piano `contests`, notably the one where he dismissed the travelling virtuoso Daniel Steibelt, who vowed never to set foot in Vienna again! Beethoven was, arguably, from the mid 1790s, the finest pianist in Europe, and that is to say, for…
At least 8 hours a day, 7 days a week. This may sound somewhat extreme, but this is what it takes to be the top pianist in today's world. That 8 hours is, of course, not done in one sitting ... spread it out over the course of the day to keep from getting fatigued. You should also have a tutor [teacher, professor] who will give you the fine points of technique and playing.