Others have given good reasons to take alternate approaches, but if I were
writing your define-lookup-function macro, I would avoid using a dictionary
type and have the macro expand to `case`, like this:
(define-syntax define-lookup-function
  (syntax-parser
    [(_ name:id
        [lhs:expr rhs:expr] ...)
     #'(define (name arg)
         (case arg
           [(lhs) rhs] ...
           [else (error 'name (format "no matching clause for ~e"
arg))]))]))

For a pre-made solution, I'd look at match-lambda.

I'm interested to see what you're doing with this code! (I'm a musicology
student when I'm not playing with Racket.)

-Philip

On Mon, Aug 7, 2017 at 1:01 PM, Luis Sanjuán <luisj.sanj...@gmail.com>
wrote:

> On Monday, August 7, 2017 at 6:39:58 PM UTC+2, Luis Sanjuán wrote:
> > EDIT.
> >
> > In the description of the 'Interval' data type, replace 'notes'  with
> 'pitch-classes'
> >
> > In the signature of the function `interval`, replace 'Nat' with
> 'Interval'
>
> Another one:
>
> In the signature of `fifths-from-to` replace the returned type `Nat` with
> `Integer`
>
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