My personality type is INTJ. I am also incredibly analytical about a lot of things including music, relationships, human behavior, life, etc... I'm way to over reliant on logic and don't trust my emotions very much.
The good news for you is that music is literally applied mathematics. Analytical minds like me and you are able to use it as an advantage because we can hear patterns in music that other overly creative minds cannot. I have a friend who is a decent musician but she isn't able to conceive the relation between music and mathematics. People like Protoculture, Zedd, And BT all show high evidence that they are able to analyze music to an incredible extent.
Zedd mentioned that when he hears a song he likes the first thing he does is listens to it and tries to "analyze it" to figure out what it is he likes about it. Protoculture has an album out named "Music is more than Mathematics." BT also claims that mathematics is a huge inspiration for him.
All the music that I listen to I hear in numbers. You may not believe me but it's been this way ever since I studied music theory and was able to form the relationship between music and numbers. Even music arrangement is often looked at in even numbers of 2,4,8,16,32... but mostly 8 and 16. Musical form contains patterns in letter notation like strophic, binary, and tertiary form. When I write my themes I very consciously decide whether I want the song to be based off of only an 8 bar A section or also include a B section.
Just check out all the patterns you can find within music...
https://www.youtube.com/watch?v=QTE_W5SMP0Q- This song for example contains both an A section and a B section. The B section only occurs at 2:25 until like 3:00. Therefore it's in binary form
- The chord progression in Theme A looks something I hear as v,VI,VII,i (5-6-7-8) The chord progression in Theme B looks something that I hear as VI,iv,i,III with another variation as VI,iv,i,VII
- Theme A's bass is literally a 2 bar loop. The background vocal chop is a 2 bar loop. The drums are practically a 2 beat loop. (Kic snare)
-The structure of the track follows a very linear intro-verse-prechorus-chorus-verse-prechorus-chorus-bridge-chorus-outro form.
- The arrangement elements can be analyzed as Bass, Kick, Snare, Clap, Hi-hats, Harmony, Lead, FX/Atmosphere, Transitions etc... (A lot of tracks can be analyzed like this actually)
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There are so many patterns in music that you can find and utilize in your own music. Sound design, arrangement, mixing, mastering, composition, structure, can ALL be analyzed. Notes can be seen as numbers and chord progression as roman numerals. Structure can be seen as multiples of even numbers and composition can be divided as melodies, harmonies, themes, motifs, and countermelodies. Don't see an analytical mind as a limitation because in music it is a VERY strong trait. I would even go as far as to say that music is the perfect blend between symmetry and variation. Too much symmetry and the listener will get bored but to much variation and you create chaos.
Ironically, I scored 54% right brain and and 46% left brain. Not to surprising considering that music is the PERFECT mix of both logic and creativity.