html_url,issue_url,id,node_id,user,created_at,updated_at,author_association,body,reactions,issue,performed_via_github_app
https://github.com/simonw/datasette/issues/509#issuecomment-502393573,https://api.github.com/repos/simonw/datasette/issues/509,502393573,MDEyOklzc3VlQ29tbWVudDUwMjM5MzU3Mw==,9599,2019-06-15T19:32:56Z,2019-06-15T19:32:56Z,OWNER,"Experimental exploratory patch:
```diff
diff --git a/datasette/app.py b/datasette/app.py
index 2ef7da4..ca51866 100644
--- a/datasette/app.py
+++ b/datasette/app.py
@@ -164,8 +164,10 @@ class Datasette:
                 is_memory = True
             is_mutable = path not in self.immutables
             db = Database(self, path, is_mutable=is_mutable, is_memory=is_memory)
+            i = 1
             if db.name in self.databases:
-                raise Exception(""Multiple files with same stem: {}"".format(db.name))
+                db.stem = db.name + ""-"" + str(i)
+                i += 1
             self.databases[db.name] = db
         self.cache_headers = cache_headers
         self.cors = cors
diff --git a/datasette/database.py b/datasette/database.py
index e491577..75c8681 100644
--- a/datasette/database.py
+++ b/datasette/database.py
@@ -14,6 +14,8 @@ from .inspect import inspect_hash
 
 
 class Database:
+    stem = None
+
     def __init__(self, ds, path=None, is_mutable=False, is_memory=False):
         self.ds = ds
         self.path = path
@@ -73,6 +75,8 @@ class Database:
     def name(self):
         if self.is_memory:
             return "":memory:""
+        elif self.stem:
+            return self.stem
         else:
             return Path(self.path).stem
 ```
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