diff --git a/src/Magnum/MeshTools/Combine.cpp b/src/Magnum/MeshTools/Combine.cpp
index f66a00181..87f46fc99 100644
--- a/src/Magnum/MeshTools/Combine.cpp
+++ b/src/Magnum/MeshTools/Combine.cpp
@@ -83,8 +83,8 @@ Trade::MeshData combineIndexedImplementation(const MeshPrimitive primitive, Cont
                 duplicateInto(indices, src, dst);
                 vertexOffset += src.size()[1];
                 attributeData[attributeOffset++] = Trade::MeshAttributeData{
-                    mesh.attributeName(i), mesh.attributeFormat(i),
-                    mesh.attributeArraySize(i), dst};
+                    mesh.attributeName(i), mesh.attributeFormat(i), dst,
+                    mesh.attributeArraySize(i)};
             }
 
             indexOffset += indexSize;
diff --git a/src/Magnum/MeshTools/CompressIndices.cpp b/src/Magnum/MeshTools/CompressIndices.cpp
index 5061d628c..575d9a778 100644
--- a/src/Magnum/MeshTools/CompressIndices.cpp
+++ b/src/Magnum/MeshTools/CompressIndices.cpp
@@ -155,8 +155,9 @@ Trade::MeshData compressIndices(Trade::MeshData&& data, MeshIndexType atLeast) {
     for(UnsignedInt i = 0, max = attributeData.size(); i != max; ++i) {
         const UnsignedInt stride = data.attributeStride(i);
         attributeData[i] = Trade::MeshAttributeData{data.attributeName(i),
-            data.attributeFormat(i), data.attributeArraySize(i),
-            Containers::StridedArrayView1D<const void>{vertexData, vertexData.data() + data.attributeOffset(i) + offset*stride, newVertexCount, stride}};
+            data.attributeFormat(i),
+            Containers::StridedArrayView1D<const void>{vertexData, vertexData.data() + data.attributeOffset(i) + offset*stride, newVertexCount, stride},
+            data.attributeArraySize(i)};
     }
 
     Trade::MeshIndexData indices{result.second, result.first};
diff --git a/src/Magnum/MeshTools/Concatenate.cpp b/src/Magnum/MeshTools/Concatenate.cpp
index f1e207ef8..210325cac 100644
--- a/src/Magnum/MeshTools/Concatenate.cpp
+++ b/src/Magnum/MeshTools/Concatenate.cpp
@@ -72,10 +72,11 @@ Trade::MeshData concatenate(Containers::Array<char>&& indexData, const UnsignedI
        absolute, referencing the vertex data array */
     for(Trade::MeshAttributeData& attribute: attributeData) {
         attribute = Trade::MeshAttributeData{
-            attribute.name(), attribute.format(), attribute.arraySize(),
+            attribute.name(), attribute.format(),
             Containers::StridedArrayView1D<void>{vertexData,
                 vertexData + attribute.offset(vertexData),
-                vertexCount, attribute.stride()}};
+                vertexCount, attribute.stride()},
+            attribute.arraySize()};
     }
 
     /* Only list primitives are supported currently */
diff --git a/src/Magnum/MeshTools/GenerateIndices.cpp b/src/Magnum/MeshTools/GenerateIndices.cpp
index ce8be55b9..343d490b3 100644
--- a/src/Magnum/MeshTools/GenerateIndices.cpp
+++ b/src/Magnum/MeshTools/GenerateIndices.cpp
@@ -190,8 +190,9 @@ Trade::MeshData generateIndices(Trade::MeshData&& data) {
     Containers::Array<Trade::MeshAttributeData> attributeData{data.attributeCount()};
     for(UnsignedInt i = 0, max = attributeData.size(); i != max; ++i) {
         attributeData[i] = Trade::MeshAttributeData{data.attributeName(i),
-            data.attributeFormat(i), data.attributeArraySize(i),
-            Containers::StridedArrayView1D<const void>{vertexData, vertexData.data() + data.attributeOffset(i), vertexCount, data.attributeStride(i)}};
+            data.attributeFormat(i),
+            Containers::StridedArrayView1D<const void>{vertexData, vertexData.data() + data.attributeOffset(i), vertexCount, data.attributeStride(i)},
+            data.attributeArraySize(i)};
     }
 
     /* Generate the index array */
diff --git a/src/Magnum/MeshTools/Interleave.cpp b/src/Magnum/MeshTools/Interleave.cpp
index 4acb73726..b98c589fb 100644
--- a/src/Magnum/MeshTools/Interleave.cpp
+++ b/src/Magnum/MeshTools/Interleave.cpp
@@ -222,10 +222,11 @@ Trade::MeshData interleavedLayout(Trade::MeshData&& data, const UnsignedInt vert
        absolute, referencing the above-allocated data array */
     for(Trade::MeshAttributeData& attribute: attributeData) {
         attribute = Trade::MeshAttributeData{
-            attribute.name(), attribute.format(), attribute.arraySize(),
+            attribute.name(), attribute.format(),
             Containers::StridedArrayView1D<void>{vertexData,
                 vertexData + attribute.offset(vertexData),
-                vertexCount, attribute.stride()}};
+                vertexCount, attribute.stride()},
+            attribute.arraySize()};
     }
 
     return Trade::MeshData{data.primitive(), std::move(vertexData), std::move(attributeData)};
diff --git a/src/Magnum/MeshTools/RemoveDuplicates.cpp b/src/Magnum/MeshTools/RemoveDuplicates.cpp
index 3b224f80a..9e4fcc443 100644
--- a/src/Magnum/MeshTools/RemoveDuplicates.cpp
+++ b/src/Magnum/MeshTools/RemoveDuplicates.cpp
@@ -446,11 +446,11 @@ Trade::MeshData removeDuplicates(Trade::MeshData&& data) {
     for(UnsignedInt i = 0; i != ownedInterleaved.attributeCount(); ++i)
         attributeData[i] = Trade::MeshAttributeData{ownedInterleaved.attributeName(i),
             ownedInterleaved.attributeFormat(i),
-            ownedInterleaved.attributeArraySize(i),
             Containers::StridedArrayView1D<void>{uniqueVertexData,
                 uniqueVertexData.data() + ownedInterleaved.attributeOffset(i),
                 uniqueVertexCount,
-                ownedInterleaved.attributeStride(i)}};
+                ownedInterleaved.attributeStride(i)},
+            ownedInterleaved.attributeArraySize(i)};
 
     Trade::MeshIndexData indices{indexType, indexData};
     return Trade::MeshData{ownedInterleaved.primitive(),
diff --git a/src/Magnum/MeshTools/Test/CombineTest.cpp b/src/Magnum/MeshTools/Test/CombineTest.cpp
index baed2f953..d1920ede3 100644
--- a/src/Magnum/MeshTools/Test/CombineTest.cpp
+++ b/src/Magnum/MeshTools/Test/CombineTest.cpp
@@ -98,9 +98,9 @@ void CombineTest::combineIndexedAttributes() {
     Trade::MeshData b{MeshPrimitive::LineLoop,
         {}, indicesB, Trade::MeshIndexData{indicesB},
         {}, dataB, {Trade::MeshAttributeData{
+            Trade::meshAttributeCustom(17), VertexFormat::Byte,
             /* Array attribute to verify it's correctly propagated */
-            Trade::meshAttributeCustom(17), VertexFormat::Byte, 2,
-            Containers::arrayView(dataB)}}};
+            Containers::arrayView(dataB), 2}}};
     Trade::MeshData c{MeshPrimitive::LineLoop,
         {}, indicesC, Trade::MeshIndexData{indicesC},
         {}, dataC, {Trade::MeshAttributeData{
diff --git a/src/Magnum/MeshTools/Test/CompressIndicesTest.cpp b/src/Magnum/MeshTools/Test/CompressIndicesTest.cpp
index afa442933..bf84b9d3f 100644
--- a/src/Magnum/MeshTools/Test/CompressIndicesTest.cpp
+++ b/src/Magnum/MeshTools/Test/CompressIndicesTest.cpp
@@ -274,7 +274,7 @@ template<class T> void CompressIndicesTest::compressMeshData() {
         {}, Containers::arrayView(&vertexData, 1), {
             Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
                 /* Array attribute to verify it's correctly propagated */
-                VertexFormat::Float, 2, Containers::arrayView(vertexData.data)},
+                VertexFormat::Float, Containers::arrayView(vertexData.data), 2},
             Trade::MeshAttributeData{Trade::MeshAttribute::Normal, Containers::arrayView(vertexData.normals)}
         }};
     CORRADE_COMPARE(data.vertexCount(), 103);
diff --git a/src/Magnum/MeshTools/Test/ConcatenateTest.cpp b/src/Magnum/MeshTools/Test/ConcatenateTest.cpp
index 06288e28e..0490a30ec 100644
--- a/src/Magnum/MeshTools/Test/ConcatenateTest.cpp
+++ b/src/Magnum/MeshTools/Test/ConcatenateTest.cpp
@@ -102,9 +102,9 @@ void ConcatenateTest::concatenate() {
                 &vertexDataA[0].position, 2, sizeof(VertexDataA))},
         /* Array attribute to verify it's correctly propagated */
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::Short, 2,
+            VertexFormat::Short,
             Containers::stridedArrayView(vertexDataA,
-                &vertexDataA[0].data, 2, sizeof(VertexDataA))}
+                &vertexDataA[0].data, 2, sizeof(VertexDataA)), 2}
     }};
 
     /* Second is indexed, has only one texture coordinate of the two, an extra
@@ -128,9 +128,9 @@ void ConcatenateTest::concatenate() {
                     &vertexDataB[0].color, 4, sizeof(VertexDataB))},
             /* Array attribute to verify it's correctly propagated */
             Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-                VertexFormat::Short, 2,
+                VertexFormat::Short,
                 Containers::stridedArrayView(vertexDataB,
-                    &vertexDataB[0].data, 4, sizeof(VertexDataB))},
+                    &vertexDataB[0].data, 4, sizeof(VertexDataB)), 2},
             Trade::MeshAttributeData{Trade::MeshAttribute::TextureCoordinates,
                 Containers::stridedArrayView(vertexDataB,
                     &vertexDataB[0].texcoords1, 4, sizeof(VertexDataB))}
@@ -628,13 +628,13 @@ void ConcatenateTest::concatenateInconsistentAttributeArraySize() {
         Trade::MeshAttributeData{Trade::MeshAttribute::Position,
             VertexFormat::Vector3, nullptr},
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::ByteNormalized, 5, nullptr}
+            VertexFormat::ByteNormalized, nullptr, 5}
     }};
     Trade::MeshData b{MeshPrimitive::Lines, nullptr, {
         Trade::MeshAttributeData{Trade::MeshAttribute::Position,
             VertexFormat::Vector3, nullptr},
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::ByteNormalized, 4, nullptr}
+            VertexFormat::ByteNormalized, nullptr, 4}
     }};
 
     std::ostringstream out;
diff --git a/src/Magnum/MeshTools/Test/DuplicateTest.cpp b/src/Magnum/MeshTools/Test/DuplicateTest.cpp
index bed42e88d..8e7abba22 100644
--- a/src/Magnum/MeshTools/Test/DuplicateTest.cpp
+++ b/src/Magnum/MeshTools/Test/DuplicateTest.cpp
@@ -291,7 +291,7 @@ template<class T> void DuplicateTest::duplicateMeshData() {
                 Containers::arrayView(vertexData.positions)},
             /* Array attribute to verify it's correctly propagated */
             Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-                VertexFormat::Float, 3, Containers::arrayView(vertexData.extra)}
+                VertexFormat::Float, Containers::arrayView(vertexData.extra), 3}
         }};
 
     Trade::MeshData duplicated = MeshTools::duplicate(data);
@@ -341,7 +341,7 @@ void DuplicateTest::duplicateMeshDataExtra() {
         Trade::MeshAttributeData{4},
         /* Array attribute to verify it's correctly propagated */
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::Float, 3, Containers::arrayView(extra)}
+            VertexFormat::Float, Containers::arrayView(extra), 3}
     });
     CORRADE_VERIFY(MeshTools::isInterleaved(duplicated));
     CORRADE_COMPARE(duplicated.primitive(), MeshPrimitive::Lines);
diff --git a/src/Magnum/MeshTools/Test/GenerateIndicesTest.cpp b/src/Magnum/MeshTools/Test/GenerateIndicesTest.cpp
index 1e9cbc760..23b274f19 100644
--- a/src/Magnum/MeshTools/Test/GenerateIndicesTest.cpp
+++ b/src/Magnum/MeshTools/Test/GenerateIndicesTest.cpp
@@ -406,9 +406,9 @@ void GenerateIndicesTest::generateIndicesMeshData() {
                     &vertexData[0].position, 5, sizeof(Vertex))},
             /* Array attribute to verify it's correctly propagated */
             Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-                VertexFormat::Short, 2,
+                VertexFormat::Short,
                 Containers::stridedArrayView(vertexData,
-                    &vertexData[0].data, 5, sizeof(Vertex))},
+                    &vertexData[0].data, 5, sizeof(Vertex)), 2},
             Trade::MeshAttributeData{Trade::MeshAttribute::TextureCoordinates,
                 Containers::stridedArrayView(vertexData,
                     &vertexData[0].textureCoordinates, 5, sizeof(Vertex))}
diff --git a/src/Magnum/MeshTools/Test/InterleaveTest.cpp b/src/Magnum/MeshTools/Test/InterleaveTest.cpp
index 8729aa82a..f11d1eb29 100644
--- a/src/Magnum/MeshTools/Test/InterleaveTest.cpp
+++ b/src/Magnum/MeshTools/Test/InterleaveTest.cpp
@@ -484,9 +484,9 @@ void InterleaveTest::interleavedDataArrayAttributes() {
 
     Trade::MeshData data{MeshPrimitive::Triangles, std::move(vertexData), {
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::Float, 3, normals},
+            VertexFormat::Float, normals, 3},
         Trade::MeshAttributeData{Trade::meshAttributeCustom(43),
-            VertexFormat::Float, 2, positions}
+            VertexFormat::Float, positions, 2}
     }};
 
     CORRADE_VERIFY(MeshTools::isInterleaved(data));
@@ -652,7 +652,7 @@ void InterleaveTest::interleavedLayout() {
             Containers::arrayCast<Vector3>(vertexData.slice(3*8, 3*20))},
         /* Array attribute to verify it's correctly propagated */
         Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-            VertexFormat::Short, 2, Containers::StridedArrayView2D<char>{vertexData.suffix(3*20), {3, 4}}}
+            VertexFormat::Short, Containers::StridedArrayView2D<char>{vertexData.suffix(3*20), {3, 4}}, 2}
     };
 
     Trade::MeshIndexData indices{Containers::arrayCast<UnsignedShort>(indexData)};
@@ -702,7 +702,7 @@ void InterleaveTest::interleavedLayoutExtra() {
         Trade::MeshAttributeData{1},
         /* Array attribute to verify it's correctly propagated */
         Trade::MeshAttributeData{Trade::meshAttributeCustom(15),
-            VertexFormat::UnsignedByte, 6, nullptr},
+            VertexFormat::UnsignedByte, nullptr, 6},
         Trade::MeshAttributeData{1},
         Trade::MeshAttributeData{Trade::MeshAttribute::Color,
             VertexFormat::Vector3, nullptr},
diff --git a/src/Magnum/MeshTools/Test/RemoveDuplicatesTest.cpp b/src/Magnum/MeshTools/Test/RemoveDuplicatesTest.cpp
index 76c937a4b..8d75680f3 100644
--- a/src/Magnum/MeshTools/Test/RemoveDuplicatesTest.cpp
+++ b/src/Magnum/MeshTools/Test/RemoveDuplicatesTest.cpp
@@ -663,8 +663,8 @@ void RemoveDuplicatesTest::removeDuplicatesMeshData() {
             Trade::MeshAttributeData{Trade::MeshAttribute::Position,
                 Containers::arrayView(vertexData->positions)},
             Trade::MeshAttributeData{Trade::meshAttributeCustom(42),
-                VertexFormat::ShortNormalized, 2,
-                Containers::stridedArrayView(vertexData->data)},
+                VertexFormat::ShortNormalized,
+                Containers::stridedArrayView(vertexData->data), 2},
     }};
 
     Trade::MeshData unique = MeshTools::removeDuplicates(mesh);
diff --git a/src/Magnum/Trade/MeshData.cpp b/src/Magnum/Trade/MeshData.cpp
index bfdd641d3..48744ef60 100644
--- a/src/Magnum/Trade/MeshData.cpp
+++ b/src/Magnum/Trade/MeshData.cpp
@@ -60,7 +60,7 @@ MeshIndexData::MeshIndexData(const Containers::StridedArrayView2D<const char>& d
     _data = data.asContiguous();
 }
 
-MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexFormat format, UnsignedShort arraySize, const Containers::StridedArrayView1D<const void>& data) noexcept: MeshAttributeData{name, format, arraySize, data, nullptr} {
+MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexFormat format, const Containers::StridedArrayView1D<const void>& data, UnsignedShort arraySize) noexcept: MeshAttributeData{nullptr, name, format, data, arraySize} {
     /* Yes, this calls into a constexpr function defined in the header --
        because I feel that makes more sense than duplicating the full assert
        logic */
@@ -69,7 +69,7 @@ MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexForma
         "Trade::MeshAttributeData: expected stride to be positive and enough to fit" << format << Debug::nospace << (arraySize ? Utility::format("[{}]", arraySize).data() : "") << Debug::nospace << ", got" << data.stride(), );
 }
 
-MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexFormat format, UnsignedShort arraySize, const Containers::StridedArrayView2D<const char>& data) noexcept: MeshAttributeData{name, format, arraySize, Containers::StridedArrayView1D<const void>{{data.data(), ~std::size_t{}}, data.size()[0], data.stride()[0]}, nullptr} {
+MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexFormat format, const Containers::StridedArrayView2D<const char>& data, UnsignedShort arraySize) noexcept: MeshAttributeData{nullptr, name, format, Containers::StridedArrayView1D<const void>{{data.data(), ~std::size_t{}}, data.size()[0], data.stride()[0]}, arraySize} {
     /* Yes, this calls into a constexpr function defined in the header --
        because I feel that makes more sense than duplicating the full assert
        logic */
diff --git a/src/Magnum/Trade/MeshData.h b/src/Magnum/Trade/MeshData.h
index f25cd7e78..9e85c8e59 100644
--- a/src/Magnum/Trade/MeshData.h
+++ b/src/Magnum/Trade/MeshData.h
@@ -346,57 +346,31 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
          * @param name      Attribute name
          * @param format    Vertex format
          * @param data      Attribute data
-         *
-         * Expects that @p data stride is large enough to fit @p type and that
-         * @p type corresponds to @p name.
-         */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, const Containers::StridedArrayView1D<const void>& data) noexcept: MeshAttributeData{name, format, 0, data} {}
-
-        /**
-         * @brief Type-erased constructor for an array attribute
-         * @param name      Attribute name
-         * @param format    Vertex format
-         * @param arraySize Array size
-         * @param data      Attribute data
+         * @param arraySize Array size. Use @cpp 0 @ce for non-array
+         *      attributes.
          *
          * Expects that @p data stride is large enough to fit all @p arraySize
          * items of @p type, @p type corresponds to @p name and @p arraySize is
-         * zero for builtin attributes. Passing @cpp 0 @ce to @p arraySize is
-         * equivalent to calling the above overload.
+         * zero for builtin attributes.
          */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, UnsignedShort arraySize, const Containers::StridedArrayView1D<const void>& data) noexcept;
+        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, const Containers::StridedArrayView1D<const void>& data, UnsignedShort arraySize = 0) noexcept;
 
         /**
          * @brief Constructor
          * @param name      Attribute name
          * @param format    Vertex format
          * @param data      Attribute data
-         *
-         * Expects that the second dimension of @p data is contiguous and its
-         * size matches @p type; and that @p type corresponds to @p name.
-         */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, const Containers::StridedArrayView2D<const char>& data) noexcept: MeshAttributeData{name, format, 0, data} {}
-
-        /** @overload */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, std::nullptr_t) noexcept: MeshAttributeData{name, format, 0, nullptr, nullptr} {}
-
-        /**
-         * @brief Construct an array attribute
-         * @param name      Attribute name
-         * @param format    Vertex format
-         * @param arraySize Array size
-         * @param data      Attribute data
+         * @param arraySize Array size. Use @cpp 0 @ce for non-array
+         *      attributes.
          *
          * Expects that the second dimension of @p data is contiguous and its
          * size matches @p type and @p arraSize, that @p type corresponds to
-         * @p name and @p arraySize is zero for builtin attributes. Passing
-         * @cpp 0 @ce to @p arraySize is equivalent to calling the above
-         * overload.
+         * @p name and @p arraySize is zero for builtin attributes.
          */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, UnsignedShort arraySize, const Containers::StridedArrayView2D<const char>& data) noexcept;
+        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, const Containers::StridedArrayView2D<const char>& data, UnsignedShort arraySize = 0) noexcept;
 
         /** @overload */
-        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, UnsignedShort arraySize, std::nullptr_t) noexcept: MeshAttributeData{name, format, arraySize, nullptr, nullptr} {}
+        explicit MeshAttributeData(MeshAttribute name, VertexFormat format, std::nullptr_t, UnsignedShort arraySize = 0) noexcept: MeshAttributeData{nullptr, name, format, nullptr, arraySize} {}
 
         /**
          * @brief Constructor
@@ -404,7 +378,7 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
          * @param data      Attribute data
          *
          * Detects @ref VertexFormat based on @p T and calls
-         * @ref MeshAttributeData(MeshAttribute, VertexFormat, const Containers::StridedArrayView1D<const void>&).
+         * @ref MeshAttributeData(MeshAttribute, VertexFormat, const Containers::StridedArrayView1D<const void>&, UnsignedShort).
          * For most types known by Magnum, the detected @ref VertexFormat is of
          * the same name as the type (so e.g. @ref Magnum::Vector3ui "Vector3ui"
          * gets recognized as @ref VertexFormat::Vector3ui), with the
@@ -446,7 +420,7 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
          * @param data      Attribute data
          *
          * Detects @ref VertexFormat based on @p T and calls
-         * @ref MeshAttributeData(MeshAttribute, VertexFormat, UnsignedShort, const Containers::StridedArrayView1D<const void>&)
+         * @ref MeshAttributeData(MeshAttribute, VertexFormat, const Containers::StridedArrayView1D<const void>&, UnsignedShort)
          * with the second dimension size passed to @p arraySize. Expects that
          * the second dimension is contiguous. At the moment only custom
          * attributes can be arrays, which means this function can't be used
@@ -478,7 +452,7 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
          *
          * Note that due to the @cpp constexpr @ce nature of this constructor,
          * no @p format / @p arraySize checks against @p stride can be done.
-         * You're encouraged to use the @ref MeshAttributeData(MeshAttribute, VertexFormat, const Containers::StridedArrayView1D<const void>&)
+         * You're encouraged to use the @ref MeshAttributeData(MeshAttribute, VertexFormat, const Containers::StridedArrayView1D<const void>&, UnsignedShort)
          * constructor if you want additional safeguards.
          * @see @ref isOffsetOnly(), @ref arraySize(),
          *      @ref data(Containers::ArrayView<const void>) const
@@ -570,7 +544,8 @@ class MAGNUM_TRADE_EXPORT MeshAttributeData {
     private:
         friend MeshData;
 
-        constexpr explicit MeshAttributeData(MeshAttribute name, VertexFormat format, UnsignedShort arraySize, const Containers::StridedArrayView1D<const void>& data, std::nullptr_t) noexcept;
+        /* nullptr first, to avoid accidental matches as much as possible */
+        constexpr explicit MeshAttributeData(std::nullptr_t, MeshAttribute name, VertexFormat format, const Containers::StridedArrayView1D<const void>& data, UnsignedShort arraySize) noexcept;
 
         VertexFormat _format;
         MeshAttribute _name;
@@ -2086,7 +2061,7 @@ namespace Implementation {
     #endif
 }
 
-constexpr MeshAttributeData::MeshAttributeData(const MeshAttribute name, const VertexFormat format, const UnsignedShort arraySize, const Containers::StridedArrayView1D<const void>& data, std::nullptr_t) noexcept:
+constexpr MeshAttributeData::MeshAttributeData(std::nullptr_t, const MeshAttribute name, const VertexFormat format, const Containers::StridedArrayView1D<const void>& data, const UnsignedShort arraySize) noexcept:
     _format{(CORRADE_CONSTEXPR_ASSERT(!arraySize || !isVertexFormatImplementationSpecific(format),
         "Trade::MeshAttributeData: array attributes can't have an implementation-specific format"), format)},
     _name{(CORRADE_CONSTEXPR_ASSERT(Implementation::isVertexFormatCompatibleWithAttribute(name, format),
@@ -2114,9 +2089,9 @@ constexpr MeshAttributeData::MeshAttributeData(const MeshAttribute name, const V
         "Trade::MeshAttributeData:" << name << "can't be an array attribute"), arraySize)},
     _data{offset} {}
 
-template<class T> constexpr MeshAttributeData::MeshAttributeData(MeshAttribute name, const Containers::StridedArrayView1D<T>& data) noexcept: MeshAttributeData{name, Implementation::vertexFormatFor<typename std::remove_const<T>::type>(), 0, data, nullptr} {}
+template<class T> constexpr MeshAttributeData::MeshAttributeData(MeshAttribute name, const Containers::StridedArrayView1D<T>& data) noexcept: MeshAttributeData{nullptr, name, Implementation::vertexFormatFor<typename std::remove_const<T>::type>(), data, 0} {}
 
-template<class T> constexpr MeshAttributeData::MeshAttributeData(MeshAttribute name, const Containers::StridedArrayView2D<T>& data) noexcept: MeshAttributeData{name, Implementation::vertexFormatFor<typename std::remove_const<T>::type>(), UnsignedShort(data.size()[1]), Containers::StridedArrayView1D<const void>{{data.data(), ~std::size_t{}}, data.size()[0], data.stride()[0]}, (CORRADE_CONSTEXPR_ASSERT(data.stride()[1] == sizeof(T), "Trade::MeshAttributeData: second view dimension is not contiguous"), nullptr)} {}
+template<class T> constexpr MeshAttributeData::MeshAttributeData(MeshAttribute name, const Containers::StridedArrayView2D<T>& data) noexcept: MeshAttributeData{(CORRADE_CONSTEXPR_ASSERT(data.stride()[1] == sizeof(T), "Trade::MeshAttributeData: second view dimension is not contiguous"), nullptr), name, Implementation::vertexFormatFor<typename std::remove_const<T>::type>(), Containers::StridedArrayView1D<const void>{{data.data(), ~std::size_t{}}, data.size()[0], data.stride()[0]}, UnsignedShort(data.size()[1])} {}
 
 template<class T> Containers::ArrayView<const T> MeshData::indices() const {
     CORRADE_ASSERT(isIndexed(),
diff --git a/src/Magnum/Trade/Test/MeshDataTest.cpp b/src/Magnum/Trade/Test/MeshDataTest.cpp
index fdb60f9ae..3b2f08fa7 100644
--- a/src/Magnum/Trade/Test/MeshDataTest.cpp
+++ b/src/Magnum/Trade/Test/MeshDataTest.cpp
@@ -750,7 +750,7 @@ void MeshDataTest::constructAttributeWrongStride() {
     std::ostringstream out;
     Error redirectError{&out};
     MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector3, Containers::arrayCast<const char>(positionData)};
-    MeshAttributeData{meshAttributeCustom(1), VertexFormat::Float, 4, Containers::arrayCast<const Vector3>(positionData)};
+    MeshAttributeData{meshAttributeCustom(1), VertexFormat::Float, Containers::arrayCast<const Vector3>(positionData), 4};
     /* We need this one to be constexpr, which means there can't be a warning
        about stride not matching the size */
     MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector3, 0, 3*sizeof(Vector3), 1};
@@ -831,7 +831,7 @@ void MeshDataTest::constructArrayAttributeNonContiguous() {
 
 void MeshDataTest::constructArrayAttribute2D() {
     char vertexData[3*4*sizeof(Vector2)];
-    MeshAttributeData data{meshAttributeCustom(35), VertexFormat::Vector2, 4, Containers::StridedArrayView2D<char>{vertexData, {3, 4*sizeof(Vector2)}}};
+    MeshAttributeData data{meshAttributeCustom(35), VertexFormat::Vector2, Containers::StridedArrayView2D<char>{vertexData, {3, 4*sizeof(Vector2)}}, 4};
     CORRADE_VERIFY(!data.isOffsetOnly());
     CORRADE_COMPARE(data.name(), meshAttributeCustom(35));
     CORRADE_COMPARE(data.format(), VertexFormat::Vector2);
@@ -850,9 +850,9 @@ void MeshDataTest::constructArrayAttribute2DWrongSize() {
 
     std::ostringstream out;
     Error redirectError{&out};
-    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2, 3,
+    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2,
         Containers::StridedArrayView2D<char>{vertexData,
-            {3, 4*sizeof(Vector2)}}};
+            {3, 4*sizeof(Vector2)}}, 3};
     CORRADE_COMPARE(out.str(), "Trade::MeshAttributeData: second view dimension size 32 doesn't match VertexFormat::Vector2 and array size 3\n");
 }
 
@@ -865,16 +865,16 @@ void MeshDataTest::constructArrayAttribute2DNonContiguous() {
 
     std::ostringstream out;
     Error redirectError{&out};
-    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2, 2,
+    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2,
         Containers::StridedArrayView2D<char>{vertexData,
-            {3, sizeof(Vector2)*4}}.every({1, 2})};
+            {3, sizeof(Vector2)*4}}.every({1, 2}), 2};
     CORRADE_COMPARE(out.str(), "Trade::MeshAttributeData: second view dimension is not contiguous\n");
 }
 
 void MeshDataTest::constructArrayAttributeTypeErased() {
     Vector2 vertexData[3*4];
     Containers::StridedArrayView1D<Vector2> attribute{vertexData, 3, 4*sizeof(Vector2)};
-    MeshAttributeData data{meshAttributeCustom(35), VertexFormat::Vector2, 4, attribute};
+    MeshAttributeData data{meshAttributeCustom(35), VertexFormat::Vector2, attribute, 4};
     CORRADE_VERIFY(!data.isOffsetOnly());
     CORRADE_COMPARE(data.name(), meshAttributeCustom(35));
     CORRADE_COMPARE(data.format(), VertexFormat::Vector2);
@@ -885,7 +885,7 @@ void MeshDataTest::constructArrayAttributeTypeErased() {
 }
 
 void MeshDataTest::constructArrayAttributeNullptr() {
-    MeshAttributeData positions{meshAttributeCustom(35), VertexFormat::Vector2, 4, nullptr};
+    MeshAttributeData positions{meshAttributeCustom(35), VertexFormat::Vector2, nullptr, 4};
     CORRADE_VERIFY(!positions.isOffsetOnly());
     CORRADE_COMPARE(positions.arraySize(), 4);
     CORRADE_COMPARE(positions.name(), meshAttributeCustom(35));
@@ -923,20 +923,20 @@ void MeshDataTest::constructArrayAttributeNotAllowed() {
     auto positions2Dchar = Containers::arrayCast<2, const char>(positions2D);
 
     /* This is all fine */
-    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, 0, positions};
+    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, positions, 0};
     MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, 0, 3, 6*sizeof(Vector2), 0};
-    MeshAttributeData{meshAttributeCustom(35), vertexFormatWrap(0xdead), 0, positions};
+    MeshAttributeData{meshAttributeCustom(35), vertexFormatWrap(0xdead), positions, 0};
     MeshAttributeData{meshAttributeCustom(35), positions2D};
-    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2, 3, positions2Dchar};
+    MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2, positions2Dchar, 3};
     MeshAttributeData{meshAttributeCustom(35), VertexFormat::Vector2, 0, 3, 6*sizeof(Vector2), 3};
 
     /* This is not */
     std::ostringstream out;
     Error redirectError{&out};
-    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2b, 3, Containers::arrayView(positionData)};
-    MeshAttributeData{meshAttributeCustom(35), vertexFormatWrap(0xdead), 3, Containers::arrayView(positionData)};
+    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2b, Containers::arrayView(positionData), 3};
+    MeshAttributeData{meshAttributeCustom(35), vertexFormatWrap(0xdead), Containers::arrayView(positionData), 3};
     MeshAttributeData{MeshAttribute::Position, positions2D};
-    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, 3, positions2Dchar};
+    MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, positions2Dchar, 3};
     MeshAttributeData{MeshAttribute::Position, VertexFormat::Vector2, 0, 3, 6*sizeof(Vector2), 3};
     MeshAttributeData{meshAttributeCustom(35), vertexFormatWrap(0xdead), 0, 3, 6*sizeof(Vector2), 3};
     CORRADE_COMPARE(out.str(),