So: How will I transform: Visual mathematical shorthand symbols to haptic metaphors to mental musical cues

So: How will I transform: Visual mathematical shorthand symbols to haptic metaphors to mental musical cues, such as the building of a chord for “non-temporal” equations (should be particularly useful for excluded-middle logic) or musical compositions for algorithm (step / time based)?
 
I don’t think I can go directly to music without a tactile/haptic metaphor binding them, similar to viewing musical notes on a staff and feeling what it feels like to play the notes on a particular instrument in your mind to rehearse.
 
Random thoughts.
Answer: Motor system.

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