Music is a kind of mathematics but not just random sounds are music so in my opinion :
MUSIC = SONOHARMONIC MATHEMATICS
What do you think regarding my new terminology. All commenters are appreciated. Thank you for all answers.
Dear Sinan Ibaguner,
Your question is very actual, but unfortunately it does not attract the proper care.
I’m dealing closely with the problem of the connection between music and mathematics, and I believe that the time has come to model music using mathematical models. This problem arose because I see no other way to create new musical compositions than with the help of the human brain, high motivation and with the active use of mathematics in order to create compositions with desired properties. Earlier, I had big claims against today's state and would like to remind these claims from another thread https://www.researchgate.net/post/Can_rational_thought_exist_without_language
1. Why now in our time there are millions of musicians as performers and a few composers?
2. Why do we encourage the musicians of the performers and not encourage the composers?
3. Why there are hundreds of competition for musicians performing compositions and no a single competition for composers?
4. Why do conservatories produce so many musicians, most of whom simply teach at best?
5. At the time of Beethoven and Liszt there were musical duels, when opponents improvised on a given topic. Where are these musical duels now, why are they not?
In my understanding, a performer is not a creative profession, a performer is only a performer. The performers can be good or bad, but they are simply consumers of someone else's music. All these music contests remind me of a good training, when musicians only perform music, perform, perform, ... When will there finally be contests for the best composition on a given topic? Why is this not? In short, is this a trend or degradation? You see how many questions. If I'm wrong, please tell me about it. I don’t divide music into classical, non-classical, jazz, song and any other. I divide the music into good and bad. For example, in classical music there is a lot of rubbish, and in non-classical music there are a lot of masterpieces and vice versa.
In my understanding, in music there must necessarily be a beautiful melody as a basis. The problem of harmonization and arrangement is of great importance, however, in my opinion, the lack of knowledge and theory can be compensated by modeling the combination of sounds with the active participation of one's own hearing. That is exactly what I am trying to do now. I consider each next musical tact as a mathematical model with its objective function and system of limitations. Here, the objective function is the final result with the given properties, and this result should be in accordance with your own brain after listening to music from this musical tact. The system of restrictions is the ability to display the objective function in practical implementation, taking into account the characteristics of a person (ten fingers in total) and the characteristics of a musical instrument and its capabilities. The system of restrictions also includes the physical ability to perform musical notes from of this musical tact. Thus, we must maximize the objective function in the system of limitations of musical instrument and given the ability of a person to perform this music from this musical tact.
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