diff --git a/example/forest/t8_extruded_hex.cxx b/example/forest/t8_extruded_hex.cxx
index cf21e5b60d..8032063efb 100644
--- a/example/forest/t8_extruded_hex.cxx
+++ b/example/forest/t8_extruded_hex.cxx
@@ -100,7 +100,6 @@ main (int argc, char **argv)
     t8_cmesh_t cmesh;
     t8_cmesh_init (&cmesh);
     t8_cmesh_new_brick_3d (cmesh, num_x, num_y, num_z, 0, 0, 0, comm);
-    SC_CHECK_ABORT (t8_cmesh_is_extrusion_compatible (cmesh), "The cmesh is not compatible with extruded hexes.");
 
     t8_forest_t forest = t8_forest_new_uniform (cmesh, t8_scheme_new_extruded (), level, 0, comm);
     t8_global_productionf ("Uniform forest of level %i with %lli elements.\n", level,
diff --git a/src/t8_cmesh/t8_cmesh_examples.cxx b/src/t8_cmesh/t8_cmesh_examples.cxx
index ef4d49c92e..3a4c8fa57c 100644
--- a/src/t8_cmesh/t8_cmesh_examples.cxx
+++ b/src/t8_cmesh/t8_cmesh_examples.cxx
@@ -848,7 +848,7 @@ t8_cmesh_new_hypercube (t8_cmesh_t *pcmesh, t8_eclass_t eclass, sc_MPI_Comm comm
       t8_cmesh_set_tree_vertices (cmesh, 1, attr_vertices, 6);
       if (periodic) {
         t8_cmesh_set_join (cmesh, 0, 1, 0, 1, 0);
-        t8_cmesh_set_join (cmesh, 0, 1, 2, 0, 0);
+        t8_cmesh_set_join (cmesh, 0, 1, 2, 0, 1);
         t8_cmesh_set_join (cmesh, 0, 0, 3, 4, 0);
         t8_cmesh_set_join (cmesh, 1, 1, 3, 4, 0);
       }
diff --git a/src/t8_forest/t8_forest.cxx b/src/t8_forest/t8_forest.cxx
index 3bef5f8e89..a84a961c69 100644
--- a/src/t8_forest/t8_forest.cxx
+++ b/src/t8_forest/t8_forest.cxx
@@ -3306,6 +3306,9 @@ t8_forest_commit (t8_forest_t forest)
      * TODO: Remove when trees access schemes via key.
      * Also remove the complete function t8_forest_scheme_is_valid */
     T8_ASSERT (t8_forest_scheme_is_valid (forest->scheme));
+    /* Check if the scheme supports the trees of the cmesh and their face connections. */
+    SC_CHECK_ABORT (forest->scheme->cmesh_is_compatible (forest->cmesh),
+                    "The cmesh is not compatible with the scheme of the forest.");
 
     /* dup communicator if requested */
     if (forest->do_dup) {
diff --git a/src/t8_schemes/t8_extruded/t8_extruded.cxx b/src/t8_schemes/t8_extruded/t8_extruded.cxx
index cf683ecef3..d7835c3349 100644
--- a/src/t8_schemes/t8_extruded/t8_extruded.cxx
+++ b/src/t8_schemes/t8_extruded/t8_extruded.cxx
@@ -76,10 +76,10 @@ t8_extruded_num_lateral_faces (const t8_eclass_t eclass)
   }
 }
 
-/** Check whether a single face connection of an extruded tree is compatible with the extruded schemes.
+/** Check whether a single face connection between two extruded trees is compatible with the extruded schemes.
  * \param [in] eclass       The eclass of the tree, hex or prism.
  * \param [in] face         A face of the tree.
- * \param [in] neigh_class  The eclass of the neighbor tree.
+ * \param [in] neigh_class  The eclass of the neighbor tree, hex or prism.
  * \param [in] neigh_face   The face of the neighbor tree.
  * \param [in] orientation  The orientation of the face connection.
  * \return                  True if the connection is compatible.
@@ -90,10 +90,7 @@ t8_extruded_face_connection_is_compatible (const t8_eclass_t eclass, const int f
                                            const int neigh_face, const int orientation)
 {
   const int neigh_num_lateral_faces = t8_extruded_num_lateral_faces (neigh_class);
-  if (neigh_num_lateral_faces < 0) {
-    /* The neighbor tree is not extruded. */
-    return false;
-  }
+  T8_ASSERT (neigh_num_lateral_faces > 0);
   const bool face_is_lateral = face < t8_extruded_num_lateral_faces (eclass);
   const bool neigh_face_is_lateral = neigh_face < neigh_num_lateral_faces;
   if (face_is_lateral != neigh_face_is_lateral) {
@@ -116,34 +113,25 @@ t8_extruded_face_connection_is_compatible (const t8_eclass_t eclass, const int f
 }
 
 bool
-t8_cmesh_is_extrusion_compatible (t8_cmesh_t cmesh)
+t8_extruded_cmesh_tree_is_compatible (const t8_scheme *scheme, const t8_cmesh_t cmesh, const t8_locidx_t ltreeid)
 {
   T8_ASSERT (t8_cmesh_is_committed (cmesh));
-  const t8_locidx_t num_local_trees = t8_cmesh_get_num_local_trees (cmesh);
-  for (t8_locidx_t ltree = 0; ltree < num_local_trees; ++ltree) {
-    const t8_eclass_t eclass = t8_cmesh_get_tree_class (cmesh, ltree);
-    if (t8_eclass_to_dimension[eclass] < 3) {
-      /* Lower dimensional trees use the default schemes. */
+  const t8_eclass_t eclass = t8_cmesh_get_tree_class (cmesh, ltreeid);
+  T8_ASSERT (t8_eclass_scheme_is_extruded (scheme, eclass));
+  for (int face = 0; face < t8_eclass_num_faces[eclass]; ++face) {
+    int neigh_face;
+    int orientation;
+    const t8_locidx_t neigh_tree = t8_cmesh_get_face_neighbor (cmesh, ltreeid, face, &neigh_face, &orientation);
+    if (neigh_tree < 0) {
+      /* No neighbor across this face. */
       continue;
     }
-    if (t8_extruded_num_lateral_faces (eclass) < 0) {
-      t8_debugf ("Local tree %i of class %s cannot be extruded.\n", ltree, t8_eclass_to_string[eclass]);
+    const t8_eclass_t neigh_class = t8_cmesh_get_tree_face_neighbor_eclass (cmesh, ltreeid, face);
+    if (!t8_eclass_scheme_is_extruded (scheme, neigh_class)
+        || !t8_extruded_face_connection_is_compatible (eclass, face, neigh_class, neigh_face, orientation)) {
+      t8_debugf ("Face %i of local tree %i is not compatible with the extruded schemes.\n", face, ltreeid);
       return false;
     }
-    for (int face = 0; face < t8_eclass_num_faces[eclass]; ++face) {
-      int neigh_face;
-      int orientation;
-      const t8_locidx_t neigh_tree = t8_cmesh_get_face_neighbor (cmesh, ltree, face, &neigh_face, &orientation);
-      if (neigh_tree < 0) {
-        /* No neighbor across this face. */
-        continue;
-      }
-      const t8_eclass_t neigh_class = t8_cmesh_get_tree_face_neighbor_eclass (cmesh, ltree, face);
-      if (!t8_extruded_face_connection_is_compatible (eclass, face, neigh_class, neigh_face, orientation)) {
-        t8_debugf ("Face %i of local tree %i is not compatible with the extruded schemes.\n", face, ltree);
-        return false;
-      }
-    }
   }
   return true;
 }
diff --git a/src/t8_schemes/t8_extruded/t8_extruded.hxx b/src/t8_schemes/t8_extruded/t8_extruded.hxx
index 7dcc395f08..8929347780 100644
--- a/src/t8_schemes/t8_extruded/t8_extruded.hxx
+++ b/src/t8_schemes/t8_extruded/t8_extruded.hxx
@@ -43,18 +43,3 @@ t8_scheme_new_extruded ();
  */
 int
 t8_eclass_scheme_is_extruded (const t8_scheme *scheme, const t8_eclass_t eclass);
-
-/** Check whether a cmesh is compatible with the extruded schemes.
- * All 3D trees have to be extruded, that is hexes or prisms, no tets or pyramids.
- * The extruded elements span the whole tree height, so the extrusion (z-) directions of
- * neighboring trees have to be parallel. That is, for each local 3D tree:
- *  - A lateral face (hex: 0, ..., 3, prism: 0, 1, 2) is only connected to a lateral face of another hex or prism tree,
- *    such that the z-axes of both trees are parallel (possibly with opposite directions).
- *  - The bottom and top face (hex: 4, 5, prism: 3, 4) are only connected to the bottom or top face of another tree.
- * Cmeshes without 3D trees are always compatible.
- * \param [in] cmesh    A committed cmesh.
- * \return              True if all local trees and their face connections are compatible, false otherwise.
- * \note This function is not collective. It only checks the local trees of \a cmesh.
- */
-bool
-t8_cmesh_is_extrusion_compatible (t8_cmesh_t cmesh);
diff --git a/src/t8_schemes/t8_extruded/t8_extruded_scheme.hxx b/src/t8_schemes/t8_extruded/t8_extruded_scheme.hxx
index c4555e5a08..d314393150 100644
--- a/src/t8_schemes/t8_extruded/t8_extruded_scheme.hxx
+++ b/src/t8_schemes/t8_extruded/t8_extruded_scheme.hxx
@@ -28,12 +28,12 @@
  *
  * Face numbering: The lateral faces 0, ..., F-1 are the extrusions of the F faces of the base element.
  * Face F is the bottom and face F + 1 the top face. Vertex v is the base vertex v % V at the bottom (v < V) or
- * the top (v >= V), where V is the number of base vertices. This matches the default hex (and prism) conventions.
+ * the top (v >= V), where V is the number of base vertices. This matches the default hex and prism conventions.
  *
  * The face elements of lateral faces are quads in the scheme of the face eclass. Since the element spans the whole tree
  * height, the lateral face element stores the in-plane coordinate in x and 0 in y. The z-part is ignored when
  * extruding the face again. This is only consistent, if all trees glued at lateral faces have parallel extrusion
- * directions, see \ref t8_cmesh_is_extrusion_compatible.
+ * directions, see \ref t8_extruded_cmesh_tree_is_compatible.
  */
 
 #pragma once
@@ -50,6 +50,21 @@
 #include <cstring>
 #include <utility>
 
+/** Check whether a local hex or prism tree of a cmesh is compatible with the extruded schemes.
+ * The extruded elements span the whole tree height, so the extrusion (z-) directions of neighboring trees have to be
+ * parallel. That is, for each face of the tree:
+ *  - The neighbor tree also uses an extruded scheme.
+ *  - A lateral face (hex: 0, ..., 3, prism: 0, 1, 2) is only connected to a lateral face, such that the z-axes of
+ *    both trees are parallel (possibly with opposite directions).
+ *  - The bottom and top face (hex: 4, 5, prism: 3, 4) are only connected to the bottom or top face of another tree.
+ * \param [in] scheme   The scheme containing the extruded schemes.
+ * \param [in] cmesh    A committed cmesh.
+ * \param [in] ltreeid  A local tree of \a cmesh, whose class uses an extruded scheme in \a scheme.
+ * \return              True if all face connections of the tree are compatible, false otherwise.
+ */
+bool
+t8_extruded_cmesh_tree_is_compatible (const t8_scheme *scheme, const t8_cmesh_t cmesh, const t8_locidx_t ltreeid);
+
 /** Scheme for extruded elements.
  * \tparam TEclass     The 3D element class of the extruded trees.
  * \tparam TBaseScheme The scheme of the 2D base elements.
@@ -111,6 +126,20 @@ struct t8_extruded_scheme: public t8_scheme_helpers<TEclass, t8_extruded_scheme<
     return sizeof (TBaseElem);
   }
 
+  /** Check whether a local tree of a cmesh can be used with the extruded scheme,
+   * see \ref t8_extruded_cmesh_tree_is_compatible.
+   * \param [in] scheme   The scheme this eclass scheme is part of.
+   * \param [in] cmesh    A committed cmesh.
+   * \param [in] ltreeid  A local tree of \a cmesh of class \a TEclass.
+   * \return              True if the face connections of the tree are compatible.
+   */
+  inline bool
+  cmesh_tree_is_compatible (const t8_scheme *scheme, const t8_cmesh_t cmesh, const t8_locidx_t ltreeid) const
+  {
+    T8_ASSERT (t8_cmesh_get_tree_class (cmesh, ltreeid) == TEclass);
+    return t8_extruded_cmesh_tree_is_compatible (scheme, cmesh, ltreeid);
+  }
+
   /** Returns true, if there is one element in the tree, that does not refine into 2^dim children.
    * \return Dictated by the base scheme because no refinement occurs in extruded direction.
    */
diff --git a/src/t8_schemes/t8_scheme.cxx b/src/t8_schemes/t8_scheme.cxx
index 8dbd2914d5..b29389cae7 100644
--- a/src/t8_schemes/t8_scheme.cxx
+++ b/src/t8_schemes/t8_scheme.cxx
@@ -47,6 +47,15 @@ t8_scheme_unref (t8_scheme_c **pscheme)
   }
 }
 
+int
+t8_scheme_cmesh_is_compatible (const t8_scheme_c *scheme, struct t8_cmesh *cmesh)
+{
+  T8_ASSERT (scheme != NULL);
+  T8_ASSERT (cmesh != NULL);
+
+  return scheme->cmesh_is_compatible (cmesh);
+}
+
 size_t
 t8_element_get_element_size (const t8_scheme_c *scheme, const t8_eclass_t tree_class)
 {
diff --git a/src/t8_schemes/t8_scheme.h b/src/t8_schemes/t8_scheme.h
index ba70bacf28..e9852810a5 100644
--- a/src/t8_schemes/t8_scheme.h
+++ b/src/t8_schemes/t8_scheme.h
@@ -37,6 +37,9 @@
  */
 typedef struct t8_scheme t8_scheme_c;
 
+/* Forward declaration of the cmesh, since t8_cmesh.h includes this header. */
+struct t8_cmesh;
+
 T8_EXTERN_C_BEGIN ();
 
 /** Increase the reference counter of a scheme.
@@ -58,6 +61,15 @@ t8_scheme_ref (t8_scheme_c *scheme);
 void
 t8_scheme_unref (t8_scheme_c **pscheme);
 
+/** Check whether all local trees of a cmesh can be used with a scheme.
+ * \param [in] scheme   A scheme.
+ * \param [in] cmesh    A committed cmesh.
+ * \return              True if all local trees and their face connections are supported by \a scheme.
+ * \note This function is not collective. It only checks the local trees of \a cmesh.
+ */
+int
+t8_scheme_cmesh_is_compatible (const t8_scheme_c *scheme, struct t8_cmesh *cmesh);
+
 /** Return the size of any element of a given class.
  * \return                      The size of an element of class \b ts.
  * We provide a default implementation of this routine that should suffice
diff --git a/src/t8_schemes/t8_scheme.hxx b/src/t8_schemes/t8_scheme.hxx
index 98ab02863c..6e21cc6560 100644
--- a/src/t8_schemes/t8_scheme.hxx
+++ b/src/t8_schemes/t8_scheme.hxx
@@ -32,6 +32,7 @@
 #include <vector>
 #include <t8_helper_functions/t8_refcount.h>
 #include <t8_eclass/t8_eclass.h>
+#include <t8_cmesh/t8_cmesh.h>
 #include <t8_schemes/t8_default/t8_default.hxx>
 #include <t8_schemes/t8_default/t8_default_vertex/t8_default_vertex.hxx>
 #include <t8_schemes/t8_default/t8_default_line/t8_default_line.hxx>
@@ -191,6 +192,36 @@ struct t8_scheme
     return std::visit ([&] (auto &&scheme) { return scheme.get_dimension (); }, eclass_schemes[tree_class]);
   }
 
+  /** Check whether a local tree of a cmesh can be used with its eclass scheme.
+   * \param [in] tree_class    The eclass of the tree.
+   * \param [in] cmesh         A committed cmesh.
+   * \param [in] ltreeid       A local tree of \a cmesh of class \a tree_class.
+   * \return                   True if the tree and its face connections are supported by the eclass scheme.
+   */
+  inline bool
+  cmesh_tree_is_compatible (const t8_eclass_t tree_class, const t8_cmesh_t cmesh, const t8_locidx_t ltreeid) const
+  {
+    return std::visit ([&] (auto &&scheme) { return scheme.cmesh_tree_is_compatible (this, cmesh, ltreeid); },
+                       eclass_schemes[tree_class]);
+  }
+
+  /** Check whether all local trees of a cmesh can be used with this scheme.
+   * \param [in] cmesh         A committed cmesh.
+   * \return                   True if all local trees and their face connections are supported.
+   * \note This function is not collective. It only checks the local trees of \a cmesh.
+   */
+  inline bool
+  cmesh_is_compatible (const t8_cmesh_t cmesh) const
+  {
+    const t8_locidx_t num_local_trees = t8_cmesh_get_num_local_trees (cmesh);
+    for (t8_locidx_t ltreeid = 0; ltreeid < num_local_trees; ++ltreeid) {
+      if (!cmesh_tree_is_compatible (t8_cmesh_get_tree_class (cmesh, ltreeid), cmesh, ltreeid)) {
+        return false;
+      }
+    }
+    return true;
+  }
+
   /** Return the size of any element of a given class.
    * \param [in] tree_class    The eclass of the current tree.
    * \return                      The size of an element of class \a tree_class.
diff --git a/src/t8_schemes/t8_scheme_helpers.hxx b/src/t8_schemes/t8_scheme_helpers.hxx
index 60e4acc51a..82248c7ed0 100644
--- a/src/t8_schemes/t8_scheme_helpers.hxx
+++ b/src/t8_schemes/t8_scheme_helpers.hxx
@@ -30,6 +30,9 @@
 #include <t8_element/t8_element.h>
 #include <t8_types/t8_crtp.hxx>
 #include <t8_eclass/t8_eclass.h>
+#include <t8_cmesh/t8_cmesh.h>
+
+struct t8_scheme;
 
 /**
   * Class which provides helper functions and default implementations for different schemes.
@@ -65,6 +68,20 @@ struct t8_scheme_helpers: public t8_crtp_basic<TUnderlyingEclassScheme>
     return TEclass;
   }
 
+  /** Check whether a local tree of a cmesh can be used with this eclass scheme.
+   * By default, all trees and face connections are supported.
+   * \param [in] scheme   The scheme this eclass scheme is part of, to look up the schemes of neighbor trees.
+   * \param [in] cmesh    A committed cmesh.
+   * \param [in] ltreeid  A local tree of \a cmesh of class \a TEclass.
+   * \return              True if the tree and its face connections are supported.
+   */
+  inline bool
+  cmesh_tree_is_compatible ([[maybe_unused]] const t8_scheme *scheme, [[maybe_unused]] const t8_cmesh_t cmesh,
+                            [[maybe_unused]] const t8_locidx_t ltreeid) const
+  {
+    return true;
+  }
+
   /** Given a face of an element and a level coarser than (or equal to)
    * the element's level, return the face number
    * of the ancestor of the element that matches the element's face. Or return -1 if
diff --git a/test/t8_forest/t8_gtest_leaf_face_neighbors.cxx b/test/t8_forest/t8_gtest_leaf_face_neighbors.cxx
index 77c5f84d5e..c2d67ceb8f 100644
--- a/test/t8_forest/t8_gtest_leaf_face_neighbors.cxx
+++ b/test/t8_forest/t8_gtest_leaf_face_neighbors.cxx
@@ -562,7 +562,7 @@ TEST_P (forest_face_neighbors_two_quad_mesh, check_neighbors)
           T8_FREE (dual_faces);
         }
       }  // End face loop
-    }  // End leaf in tree loop
+    }    // End leaf in tree loop
     if (gtreeid == 0) {
       // Tree 0 must have >0 faces with 1 neighbor.
       EXPECT_GE (num_faces_with_1_neighbor, 1) << "Tree 1 must have 1 face with 2 neighbors.";
@@ -775,7 +775,7 @@ TEST_P (forest_face_neighbors_subface, test_face_neighbor_subface)
             T8_TESTSUITE_FREE (neigh_children);
 
           }  // end if(neighbor_level == level - 1)
-        }  // end if(num_neighbors == 1)
+        }    // end if(num_neighbors == 1)
 
         // Manually free memory allocated by t8code inside t8_forest_leaf_face_neighbors_ext.
         if (num_neighbors > 0) {
@@ -784,8 +784,8 @@ TEST_P (forest_face_neighbors_subface, test_face_neighbor_subface)
           T8_FREE (dual_faces);
         }
       }  // end face loop
-    }  // end element loop
-  }  // end tree loop
+    }    // end element loop
+  }      // end tree loop
 }
 
 // We check for all cmesh examples and scheme collections.
diff --git a/test/t8_forest/t8_gtest_user_data.cxx b/test/t8_forest/t8_gtest_user_data.cxx
index c134e0deb9..d83c34e706 100644
--- a/test/t8_forest/t8_gtest_user_data.cxx
+++ b/test/t8_forest/t8_gtest_user_data.cxx
@@ -125,7 +125,7 @@ TEST_P (forest_user_data, test_user_function)
   void (*funpointer_second) (void);
 
   /* Set the t8_test_function_42 as user function pointer. */
-  t8_forest_set_user_function (forest, (void (*) (void)) &t8_test_function_42);
+  t8_forest_set_user_function (forest, (void (*) (void)) & t8_test_function_42);
   /* Retrieve the function pointer from the forest. */
   funpointer = (double (*) (int)) t8_forest_get_user_function (forest);
 
@@ -135,7 +135,7 @@ TEST_P (forest_user_data, test_user_function)
   ASSERT_EQ (funpointer (0), 42.42) << "Forest function pointer returned wrong result.";
 
   /* Overwrite the function user pointer with a second function. */
-  t8_forest_set_user_function (forest, (void (*) (void)) &t8_test_function_second);
+  t8_forest_set_user_function (forest, (void (*) (void)) & t8_test_function_second);
   /* Retrieve the function pointer from the forest. */
   funpointer_second = (void (*) (void)) t8_forest_get_user_function (forest);
 
diff --git a/test/t8_gtest_schemes.hxx b/test/t8_gtest_schemes.hxx
index fa62f4340e..5c07d1fc4a 100644
--- a/test/t8_gtest_schemes.hxx
+++ b/test/t8_gtest_schemes.hxx
@@ -52,9 +52,8 @@ create_from_scheme_id (const int scheme_id)
   }
 }
 
-/** Check whether a cmesh is supported by the scheme of a given scheme id.
- * The extruded scheme only supports cmeshes whose hex trees have parallel extrusion directions,
- * see \ref t8_cmesh_is_extrusion_compatible. All other schemes support all cmeshes.
+/** Check whether a cmesh is supported by the scheme of a given scheme id, see \ref t8_scheme::cmesh_is_compatible.
+ * For example, the extruded scheme only supports cmeshes whose extruded trees have parallel extrusion directions.
  * \param [in] scheme_id The scheme id, see \ref create_from_scheme_id.
  * \param [in] cmesh     A committed cmesh.
  * \param [in] comm      The communicator of \a cmesh.
@@ -64,10 +63,9 @@ create_from_scheme_id (const int scheme_id)
 inline bool
 t8_test_scheme_supports_cmesh (const int scheme_id, t8_cmesh_t cmesh, sc_MPI_Comm comm)
 {
-  if (scheme_id != 2) {
-    return true;
-  }
-  int is_compatible = t8_cmesh_is_extrusion_compatible (cmesh);
+  const t8_scheme *scheme = create_from_scheme_id (scheme_id);
+  int is_compatible = scheme->cmesh_is_compatible (cmesh);
+  scheme->unref ();
   int is_compatible_all = 0;
   const int mpiret = sc_MPI_Allreduce (&is_compatible, &is_compatible_all, 1, sc_MPI_INT, sc_MPI_LAND, comm);
   SC_CHECK_MPI (mpiret);