I might argue that of all those, notation isn’t really theory. It is important as a way to communicate the music but by itself it doesn’t get beyond being a communication tool rather than being, per se, part of the analytical or subconscious process of creation.
Good point.
My (largely uninformed) opinion is that there is (as far as I've discovered) no accepted widely-accepted definition - or theory of- creativity. Please correct me if I'm wrong.
My couple of cts. .....
Creative Art (in general)
- 'creativity' might for some artists be 100% 'intuitive': driven by 'internal vision', 'experimentation' and internally-driven self-development (including skills)
- The majority of creative artists, I would argue, are - at least to some extent - aware of what other 'broadly contemporary' artists are doing and are in some way may be inspired by - or 'learn' from - these; to me, it doesn't seem to be a coincidence that we, in retrospect, talk about 'art movements' (Impressionism, Cubism, Realism, etc.). It seems that each individual artist developed their individual styles but were also influenced by what (artistically and often socially) was going on around them.
- I would further argue that many artists have been aware (via art exhibitions and museums) of past artists, works and styles
- it's always fascinated me how current art school teachers guide and assess the progress and final results of individual art students during their 5-year course
Learning Preferences/Styles
- back in the day, when I occasionally gave multiple-day courses and weekly workshops, I frantically searched Google on 'how people learn?'; I discovered that different people have different 'learning preferences/styles'. So for example, some participants (strongly) preferred to first understand 'the theory' before applying it, while others (strongly) preferred 'learning by doing'. Others just 'absorbed' the learning experience and went on to do their own thing.
- my youngest daughter (back in the day) was a (Dutch) National ballet student. From what I remember, her only 'theory' was what to eat; her ballet lessons were purely based on 'learning by doing' (through 'corrections'').
Creativity/Learning in Music
I've never come across any 'theory of creativity' in music, any other art form, or other areas. People like Mozart and Einstein are often referred to as 'geniuses'. My gut feeling is that 'musical creativity' is some combination of the above points. In the sense that most 'highly creative musicians' are at least aware of the contemporary music around them and find a way of 'breaking out of the box' and going their own way.
So is there an occasional spark of genius? Or does progress just generally plod on in jumps and starts? I have no idea. Personally I believe that the answers to both questions are true.
FWIW, all students at Dutch music universities get a good 'grounding' in basic music theory. As in art schools, they are encouraged to pursue and develop their own personal musical interests. As in art schools, their 'progress' is regularly assessed.