diff --git a/tests/tivars.py b/tests/tivars.py
index 9894bb7..6c778de 100644
--- a/tests/tivars.py
+++ b/tests/tivars.py
@@ -601,7 +601,7 @@ def test_group(self):
 
         ungrouped = test_group.ungroup()
 
-        self.assertEqual(ungrouped[0], TIEquation("10sin(theta", name="R1"))
+        self.assertEqual(ungrouped[0], TIEquation("10sin(theta", name="r1"))
         self.assertEqual(type(ungrouped[1]), TIWindowSettings)
 
         self.assertEqual(TIGroup.group(ungrouped).ungroup(), ungrouped)
diff --git a/tivars/data.py b/tivars/data.py
index 5d3961c..f2be8d1 100644
--- a/tivars/data.py
+++ b/tivars/data.py
@@ -386,7 +386,7 @@ def __call__(self, func: Callable) -> 'Section':
         signature = inspect.signature(func)
         match len(signature.parameters):
             case 1: pass
-            case 2: new._set = lambda value, _set=new._set, *, instance=None, **kwargs:\
+            case 2: new._set = lambda value, _set=self._set, *, instance=None, **kwargs:\
                 _set(func(instance, value), instance=instance, **kwargs)
             case _: raise TypeError("Section and View function definitions can only take 1 or 2 parameters.")
 
diff --git a/tivars/tokenizer/__init__.py b/tivars/tokenizer/__init__.py
index 743f52c..7986c88 100644
--- a/tivars/tokenizer/__init__.py
+++ b/tivars/tokenizer/__init__.py
@@ -3,6 +3,9 @@
 """
 
 
+import re
+from warnings import warn
+
 from tivars.data import String
 from tivars.models import *
 from tivars.tokens.scripts import *
@@ -24,8 +27,14 @@ def get(cls, data: bytes, **kwargs) -> _T:
         return decode(data.ljust(8, b'\x00'))[0]
 
     @classmethod
-    def set(cls, value: _T, **kwargs) -> bytes:
-        return encode(value, mode="string")[0].rstrip(b'\x00')
+    def set(cls, value: _T, *, instance=None, **kwargs) -> bytes:
+        data = encode(re.sub(r"[\u0398\u03F4\u1DBF]", "θ", value), mode="string")[0].rstrip(b'\x00')
+
+        if instance is None or not data.startswith(instance.leading_name_byte):
+            warn(f"Entry has an invalid name: '{value}'.",
+                 BytesWarning)
+
+        return data
 
 
 __all__ = ["decode", "encode", "TokenizedString",
diff --git a/tivars/types/gdb.py b/tivars/types/gdb.py
index debed93..7f3fb62 100644
--- a/tivars/types/gdb.py
+++ b/tivars/types/gdb.py
@@ -13,6 +13,7 @@
 from tivars.flags import *
 from tivars.data import *
 from tivars.models import *
+from tivars.tokenizer import decode
 from tivars.var import TIEntry, SizedEntry
 from .real import *
 from .tokenized import TIEquation
@@ -194,7 +195,7 @@ class IndexedEquationConverter(Converter):
             _T = TIGraphedEquation
 
             @classmethod
-            def get(cls, data: bytes, *, instance=None, **kwargs) -> _T:
+            def get(cls, data: bytes, *, instance=None) -> _T:
                 """
                 Converts ``bytes`` -> `TIGraphedEquation` by finding the equation at ``index`` within a GDB
 
@@ -276,6 +277,14 @@ def length(self) -> int:
         The length of this entry's user data section
         """
 
+    @property
+    def json_name(self) -> str:
+        """
+        :return: The name of this equation used in the GDB JSON format
+        """
+
+        return decode(self.raw.name, mode="accessible")[0].strip("{}|")
+
     def load_data_section(self, data: BytesIO):
         flag_byte = data.read(1)
         data_length = int.from_bytes(length_bytes := data.read(2), 'little')
@@ -369,12 +378,15 @@ class TIMonoGDB(SizedEntry, register=True):
         TI_83P: "8xd"
     }
 
+    min_data_length = 61
+
+    leading_name_byte = b'\x61'
+
     mode_byte = 0x00
     """
     The byte which identifies the GDB type
     """
 
-    min_data_length = 61
     has_color = False
     """
     Whether this GDB type carries color information
@@ -920,7 +932,7 @@ def dict(self) -> dict:
                     "Xres": int(self.Xres)
                 },
                 "equations": {
-                    equation.name: equation.dict() for equation in self.equations
+                    equation.json_name: equation.dict() for equation in self.equations
                 }
             }
         }
@@ -1102,7 +1114,7 @@ def dict(self) -> dict:
                     "Tstep": self.Tstep.json_number(),
                 },
                 "equations": {
-                    equation.name: equation.dict() for equation in self.equations
+                    equation.json_name: equation.dict() for equation in self.equations
                 }
             }
         }
@@ -1238,7 +1250,7 @@ def dict(self) -> dict:
                     "Thetastep": self.Thetastep.json_number(),
                 },
                 "equations": {
-                    equation.name: equation.dict() for equation in self.equations
+                    equation.json_name: equation.dict() for equation in self.equations
                 }
             }
         }
@@ -1486,7 +1498,7 @@ def dict(self) -> dict:
                     "wnMinp1": self.wnMinp1.json_number()
                 },
                 "equations": {
-                    equation.name: equation.dict() for equation in self.equations
+                    equation.json_name: equation.dict() for equation in self.equations
                 }
             }
         }
diff --git a/tivars/types/list.py b/tivars/types/list.py
index 593254d..a4ec1bb 100644
--- a/tivars/types/list.py
+++ b/tivars/types/list.py
@@ -56,23 +56,22 @@ def set(cls, value: _T, **kwargs) -> bytes:
         :return: The name encoding of ``value``
         """
 
-        varname = value[:7].upper()
-        varname = re.sub(r"(\u03b8|\u0398|\u03F4|\u1DBF)", "θ", varname)
+        varname = value.upper()
+        varname = re.sub(r"[\u0398\u03F4\u1DBF]", "θ", varname)
         varname = re.sub(r"]", "|L", varname)
-        varname = re.sub(r"[^θa-zA-Z0-9]", "", varname)
 
-        if varname != value:
-            warn(f"List name '{value}' was transformed to '{varname}'.",
-                 UserWarning)
+        if not re.fullmatch(r"(L\d)|(\|L|.)?([A-Z]|\u03b8)([0-9A-Z]|\u03b8){,4}|IDList", varname):
+            warn(f"List has an invalid name: '{varname}'.",
+                 BytesWarning)
 
         if "IDList" in varname:
-            return b']@'
+            return b'\x5D\x40'
 
-        elif varname.startswith("|L"):
-            return super().set(varname[-5:])
+        elif re.fullmatch(r"L\d", varname):
+            return super().set(varname[:2])
 
         else:
-            return super().set(varname[:2])
+            return super().set(varname[-5:])
 
 
 class ListEntry(TIEntry):
diff --git a/tivars/types/matrix.py b/tivars/types/matrix.py
index 893cce8..eedbc06 100644
--- a/tivars/types/matrix.py
+++ b/tivars/types/matrix.py
@@ -32,6 +32,8 @@ class TIMatrix(TIEntry, register=True):
 
     min_data_length = 2
 
+    leading_name_byte = b'\x5C'
+
     _type_id = 0x02
 
     def __init__(self, init=None, *,
diff --git a/tivars/types/picture.py b/tivars/types/picture.py
index ce432be..5ec02d5 100644
--- a/tivars/types/picture.py
+++ b/tivars/types/picture.py
@@ -251,6 +251,8 @@ class TIMonoPicture(PictureEntry):
 
     has_color = False
 
+    leading_name_byte = b'\x60'
+
     _type_id = 0x07
 
     def __init__(self, init=None, *,
@@ -302,6 +304,8 @@ class TIPicture(PictureEntry, register=True):
     pixel_type = RGB
     np_shape = (height, width, 3)
 
+    leading_name_byte = b'\x60'
+
     _type_id = 0x07
 
     def __init__(self, init=None, *,
@@ -341,7 +345,8 @@ def get(cls, data: bytes, **kwargs) -> _T:
     @classmethod
     def set(cls, value: _T, **kwargs) -> bytes:
         if not re.fullmatch(r"(Image)?\d", value):
-            warn(f"'{value}' is not a valid image name; defaulting to 'Image1'.")
+            warn(f"'{value}' is not a valid image name; defaulting to 'Image1'.",
+                 BytesWarning)
             value = "Image1"
 
         return b"\x3C" + bytes([int(value[-1], 16) - 1])
@@ -378,7 +383,8 @@ class TIImage(PictureEntry, register=True):
     pixel_type = RGB
     np_shape = (height, width, 3)
 
-    leading_bytes = b'\x81'
+    leading_name_byte = b'\x3C'
+    leading_data_bytes = b'\x81'
 
     _type_id = 0x1A
 
diff --git a/tivars/types/tokenized.py b/tivars/types/tokenized.py
index 557ae56..e37d836 100644
--- a/tivars/types/tokenized.py
+++ b/tivars/types/tokenized.py
@@ -153,58 +153,6 @@ def string(self) -> str:
         return format(self, "")
 
 
-class EquationName(TokenizedString):
-    """
-    Converter for the name section of equations
-
-    Equation names can be any of the following:
-
-    - ``Y1`` - ``Y0``
-    - ``X1T`` - ``X6T``
-    - ``Y1T`` - ``Y6T``
-    - ``r1`` - ``r6``
-    - ``u``, ``v``, or ``w``.
-    """
-
-    _T = str
-
-    @classmethod
-    def get(cls, data: bytes, **kwargs) -> _T:
-        """
-        Converts ``bytes`` -> ``str`` as done by the memory viewer
-
-        :param data: The raw bytes to convert
-        :return: The equation name contained in ``data``
-        """
-
-        varname = super().get(data)
-
-        if varname.startswith("|"):
-            return varname[1:]
-
-        else:
-            return varname.upper().strip("{}")
-
-    @classmethod
-    def set(cls, value: _T, **kwargs) -> bytes:
-        """
-        Converts ``str`` -> ``bytes`` to match appearance in the memory viewer
-
-        :param value: The value to convert
-        :return: The name encoding of ``value``
-        """
-
-        varname = value[:8].lower()
-
-        if varname.startswith("|") or varname in ("u", "v", "w"):
-            varname = "|" + varname[-1]
-
-        elif varname[0] != "{" and varname[-1] != "}":
-            varname = "{" + varname + "}"
-
-        return super().set(varname)
-
-
 class TIEquation(TokenizedEntry, register=True):
     """
     Parser for equations
@@ -219,6 +167,8 @@ class TIEquation(TokenizedEntry, register=True):
         TI_83P: "8xy"
     }
 
+    leading_name_byte = b'\x5E'
+
     _type_id = 0x03
 
     def __init__(self, init=None, *,
@@ -228,14 +178,24 @@ def __init__(self, init=None, *,
 
         super().__init__(init, for_flash=for_flash, name=name, version=version, archived=archived, data=data)
 
-    @Section(8, EquationName)
-    def name(self) -> str:
+    @Section(8, TokenizedString)
+    def name(self, value) -> str:
         """
         The name of the entry
 
-        Must be one of the equation names
+        Must be an equation name used in function, parametric, polar, or sequence mode.
+        (See https://ti-toolkit.github.io/tokens-wiki/categories/Y%3D%20Functions.html)
         """
 
+        varname = value
+        if varname in ("u", "v", "w"):
+            varname = "|" + varname
+
+        elif match := re.fullmatch(r"\{?([XYr]\dT?)}?", varname):
+            varname = "{" + match[1] + "}"
+
+        return varname
+
 
 class TINewEquation(TIEquation, register=True):
     """
@@ -261,6 +221,8 @@ class TIString(TokenizedEntry, register=True):
         TI_83P: "8xs"
     }
 
+    leading_name_byte = b'\xAA'
+
     _type_id = 0x04
 
     def __init__(self, init=None, *,
@@ -275,11 +237,11 @@ def name(self, value) -> str:
         """
         The name of the entry
 
-        Must be one of the string names: ``Str1`` - ``Str0``
+        Must be one of the string names: ``Str1`` - ``Str0``.
         """
 
-        if not re.fullmatch(r"Str\d", varname := value[:4].capitalize()):
-            warn(f"String has an invalid name: {varname}.",
+        if not re.fullmatch(r"Str\d", varname := value.capitalize()):
+            warn(f"String has an invalid name: '{varname}'.",
                  BytesWarning)
 
         return varname
@@ -335,12 +297,9 @@ def name(self, value) -> str:
         The name cannot start with a digit.
         """
 
-        varname = value[:8].upper()
-        varname = re.sub(r"(\u03b8|\u0398|\u03F4|\u1DBF)", "θ", varname)
-        varname = re.sub(r"[^θa-zA-Z0-9]", "", varname)
-
-        if not varname or varname[0].isnumeric():
-            warn(f"Program has an invalid name: {varname}.",
+        varname = re.sub(r"[\u0398\u03F4\u1DBF]", "θ", value.upper())
+        if not re.fullmatch(r"([A-Z]|\u03b8)([0-9A-Z]|\u03b8){,7}", varname):
+            warn(f"Program has an invalid name: '{varname}'.",
                  BytesWarning)
 
         return varname
diff --git a/tivars/var.py b/tivars/var.py
index 887aa8f..3acf4ae 100644
--- a/tivars/var.py
+++ b/tivars/var.py
@@ -275,9 +275,14 @@ class TIEntry(Dock, Converter):
     If an entry's data is fixed in size, this value is necessarily the length of the data
     """
 
-    leading_bytes = b''
+    leading_name_byte = b''
     """
-    Bytes that always occur at the start of this entry's data
+    Byte that always begins the name of this entry
+    """
+
+    leading_data_bytes = b''
+    """
+    Bytes that always begin this entry's data
     """
 
     _type_id = None
@@ -612,7 +617,7 @@ def clear(self):
         Clears this entry's data
         """
 
-        self.raw.calc_data = bytearray(self.leading_bytes)
+        self.raw.calc_data = bytearray(self.leading_data_bytes)
         self.raw.calc_data.extend(bytearray(self.min_data_length - self.calc_data_length))
 
     def get_min_os(self, data: bytes = None) -> OsVersion:
@@ -1231,15 +1236,15 @@ def data(self) -> bytes:
         pass
 
     def clear(self):
-        self.raw.calc_data = bytearray([0, 0, *self.leading_bytes])
+        self.raw.calc_data = bytearray([0, 0, *self.leading_data_bytes])
         self.raw.calc_data.extend(bytearray(self.min_data_length - self.calc_data_length))
-        self.length = len(self.leading_bytes) + len(self.data)
+        self.length = len(self.leading_data_bytes) + len(self.data)
 
     @Loader[bytes, bytearray, BytesIO]
     def load_bytes(self, data: bytes | BytesIO):
         super().load_bytes(data)
 
-        if self.length != (data_length := len(self.leading_bytes) + len(self.data)):
+        if self.length != (data_length := len(self.leading_data_bytes) + len(self.data)):
             warn(f"The entry has an unexpected data length (expected {self.length}, got {data_length}).",
                  BytesWarning)