Correctness in musical patterns
After Douglas Hofstadter had thought he had done everything he could in finding patterns in numerical sequences he decided to look into music as a source of patterns. He states that music is perhaps more knowledge intensive then mathematics is. While it may take more knowledge in the field of music to know what works well and what doesn’t in music in the way of sounding pleasent to the ear then to perform a math operation where an answer is either right or wrong.
Finding patterns in music is easier than finding patterns in mathematics. In patterns of different musical notes there’s no strict rule that a note can’t come right after another note where in mathematics, if a pattern contained a 6 followed by 764234 would fit in the pattern is much more difficult to justify. This is due to music not having the laws and properties that math does.
In my previous blog I dispute his claim of a false start being almost allowable in the art of pattern finding. It would be much harder to dispute this if a pattern was constructed of musical notes. Who is to say what is allowable in a pattern that is constructed of musical notes.