I know there exists digitizing adapters for 35mm format. However, I have not found any for medium format (6x6).
Does anyone know if they exist?
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The standard solution to digitizing medium format is scanning - adapters to A4 (or so...) scanners for 120 film are easier to implement than digitizing adapters.
There is a number of reasons for this; these include standardization issues - only the width of 120 film was properly standardized, at 56mm, and never the length.
So you have rather different formats such as 645 (56×42mm) and 6x17 (56×168mm) presented as medium format. This creates confusion and implementation issues.
This naturally drives any digitalising solution to the least common denominator, which is something close to A4 / letter format (depending on which side of the Atlantic you live on).
If by "digitizing adapter" you mean a film scanner, then yes, there are a few such scanners that will accept at least some sizes of medium format film. By far the most common are those that will allow 120 film (such as your 56mmx56mm '6x6' negatives) to be scanned in its various lengths.
There are a few budget models, but the quality of the results are probably not up to what most MF shooters would hope for. The high quality ones that will give you better results than a good backlit flatbed scanner start at around $1,200 in the U.S. and go up from there.The sky is the limit.