Have there been any threads for analyzing that have stood out to you? I figure it's pretty intuitive (I have analyzed before) though I'd be interested in how other people like to analyze.
Analysis is not about arriving at a definitive state of knowledge. Analysis is similar to interpretation. In music performance, interpretation brings understanding, enlightenment, and an artistic voice to the delivery of the music, breathing life into the music from a state of notation to a state of listening. Performance interpretation is personal and unique to each performer.
In composition, analysis brings understanding, enlightenment, and an artistic voice to the craft of composition, bringing insight into the music from a state of notation to the articulation of ideas and concepts behind that composition. Analysis is personal and unique to each musician.
To be clear, I am not talking about the uninspiring assembly-line type of analysis, that music students are expected to regurgitate on standardized tests in order to receive grades. I am referring to a deeper and artistically fulfilling methodology of analysis that seeks understanding, and not mere textbook repetition.
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What you can do is pick out passages of music that appeal to you and analyze them. Look for patterns, examine how the passage is constructed, identify what makes the passage stand out to you. Try to integrate the passage into your own improvisations. Aim to use the passage musically, not just technically.
If you end up liking the passage that you may want to integrate it into your own improvisations, transpose it into all keys, be able to play it with either hand. After transposing it, modify it to fit into another mode, for example major mode to minor mode and vice versa. Of course transpose the modification into all keys.