Add full-length nautical scale to border

[Steffen Wagner]

I configured a leaflet sea-chart. I want to give users the chance to print pieces of it and use them for navigation practice. Now, with sea charts, you read distances at the vertical border, often with a divider.

I managed to show a vertical, nautical scale (bottomleft). Here is my map:
https://www.swiftease.de/wattpaddler/NordsBeV.BAK  

Now, the nm-scale is too short to measure greater distances. What I want is a nm-scale that covers the whole left or right side, like in the picture.
It need not include degress, just nautical miles.
 
Would anyone be able to say, if this is possible with leaflet?
If so, how?