diff --git a/src/param.rs b/src/param.rs
index 22902c82..b7ade65f 100644
--- a/src/param.rs
+++ b/src/param.rs
@@ -60,10 +60,7 @@ pub trait Param: Display {
     fn plain_value(&self) -> Self::Plain;
 
     /// Get the normalized `[0, 1]` value for this parameter.
-    #[inline]
-    fn normalized_value(&self) -> f32 {
-        self.preview_normalized(self.plain_value())
-    }
+    fn normalized_value(&self) -> f32;
 
     /// Get the unnormalized default value for this parameter.
     fn default_plain_value(&self) -> Self::Plain;
@@ -112,9 +109,7 @@ pub trait Param: Display {
     /// continuous parameters (i.e. [`FloatParam`]).
     ///
     /// This does **not** update the smoother.
-    fn set_normalized_value(&mut self, normalized: f32) {
-        self.set_plain_value(self.preview_plain(normalized))
-    }
+    fn set_normalized_value(&mut self, normalized: f32);
 
     /// Get the string representation for a normalized value. Used as part of the wrappers. Most
     /// plugin formats already have support for units, in which case it shouldn't be part of this
diff --git a/src/param/boolean.rs b/src/param/boolean.rs
index 18ed1c7b..1c9fb096 100644
--- a/src/param/boolean.rs
+++ b/src/param/boolean.rs
@@ -9,8 +9,10 @@ use super::{Param, ParamFlags};
 /// A simple boolean parameter.
 #[repr(C, align(4))]
 pub struct BoolParam {
-    /// The field's current value. Should be initialized with the default value.
+    /// The field's current value.
     pub value: bool,
+    /// The field's current value normalized to the `[0, 1]` range.
+    normalized_value: f32,
     /// The field's default value.
     default: bool,
 
@@ -37,6 +39,7 @@ impl Default for BoolParam {
     fn default() -> Self {
         Self {
             value: false,
+            normalized_value: 0.0,
             default: false,
             flags: ParamFlags::default(),
             value_changed: None,
@@ -73,6 +76,10 @@ impl Param for BoolParam {
         self.value
     }
 
+    fn normalized_value(&self) -> f32 {
+        self.normalized_value
+    }
+
     #[inline]
     fn default_plain_value(&self) -> Self::Plain {
         self.default
@@ -92,8 +99,17 @@ impl Param for BoolParam {
 
     fn set_plain_value(&mut self, plain: Self::Plain) {
         self.value = plain;
+        self.normalized_value = self.preview_normalized(plain);
         if let Some(f) = &self.value_changed {
-            f(plain);
+            f(self.value);
+        }
+    }
+
+    fn set_normalized_value(&mut self, normalized: f32) {
+        self.value = self.preview_plain(normalized);
+        self.normalized_value = normalized;
+        if let Some(f) = &self.value_changed {
+            f(self.value);
         }
     }
 
diff --git a/src/param/enums.rs b/src/param/enums.rs
index c8438022..964e5a4c 100644
--- a/src/param/enums.rs
+++ b/src/param/enums.rs
@@ -71,15 +71,14 @@ impl<T: Enum + PartialEq + Default> Default for EnumParam<T> {
 
         Self {
             inner: EnumParamInner {
-                inner: IntParam {
-                    value: T::default().to_index() as i32,
-                    default: T::default().to_index() as i32,
-                    range: IntRange::Linear {
+                inner: IntParam::new(
+                    "",
+                    T::default().to_index() as i32,
+                    IntRange::Linear {
                         min: 0,
                         max: variants.len() as i32 - 1,
                     },
-                    ..Default::default()
-                },
+                ),
                 variants,
             },
             _marker: PhantomData,
@@ -115,6 +114,11 @@ impl<T: Enum + PartialEq> Param for EnumParam<T> {
         T::from_index(self.inner.plain_value() as usize)
     }
 
+    #[inline]
+    fn normalized_value(&self) -> f32 {
+        self.inner.normalized_value()
+    }
+
     #[inline]
     fn default_plain_value(&self) -> Self::Plain {
         T::from_index(self.inner.default_plain_value() as usize)
@@ -136,6 +140,10 @@ impl<T: Enum + PartialEq> Param for EnumParam<T> {
         self.inner.set_plain_value(T::to_index(plain) as i32)
     }
 
+    fn set_normalized_value(&mut self, normalized: f32) {
+        self.inner.set_normalized_value(normalized)
+    }
+
     fn normalized_value_to_string(&self, normalized: f32, include_unit: bool) -> String {
         self.inner
             .normalized_value_to_string(normalized, include_unit)
@@ -174,7 +182,7 @@ impl Param for EnumParamInner {
     type Plain = i32;
 
     fn name(&self) -> &str {
-        &self.inner.name
+        self.inner.name()
     }
 
     fn unit(&self) -> &'static str {
@@ -186,6 +194,11 @@ impl Param for EnumParamInner {
         self.inner.plain_value()
     }
 
+    #[inline]
+    fn normalized_value(&self) -> f32 {
+        self.inner.normalized_value()
+    }
+
     #[inline]
     fn default_plain_value(&self) -> Self::Plain {
         self.inner.default_plain_value()
@@ -207,6 +220,10 @@ impl Param for EnumParamInner {
         self.inner.set_plain_value(plain)
     }
 
+    fn set_normalized_value(&mut self, normalized: f32) {
+        self.inner.set_normalized_value(normalized)
+    }
+
     fn normalized_value_to_string(&self, normalized: f32, _include_unit: bool) -> String {
         let index = self.preview_plain(normalized);
         self.variants[index as usize].to_string()
@@ -253,15 +270,14 @@ impl<T: Enum + PartialEq + 'static> EnumParam<T> {
 
         Self {
             inner: EnumParamInner {
-                inner: IntParam {
-                    value: T::to_index(default) as i32,
-                    range: IntRange::Linear {
+                inner: IntParam::new(
+                    name,
+                    T::to_index(default) as i32,
+                    IntRange::Linear {
                         min: 0,
                         max: variants.len() as i32 - 1,
                     },
-                    name: name.into(),
-                    ..Default::default()
-                },
+                ),
                 variants,
             },
             _marker: PhantomData,
@@ -273,7 +289,7 @@ impl<T: Enum + PartialEq + 'static> EnumParam<T> {
     /// multiple times in rapid succession, and it can be run from both the GUI and the audio
     /// thread.
     pub fn with_callback(mut self, callback: Arc<dyn Fn(T) + Send + Sync>) -> Self {
-        self.inner.inner.value_changed = Some(Arc::new(move |value| {
+        self.inner.inner = self.inner.inner.with_callback(Arc::new(move |value| {
             callback(T::from_index(value as usize))
         }));
         self
diff --git a/src/param/float.rs b/src/param/float.rs
index bb7e8877..680a60bd 100644
--- a/src/param/float.rs
+++ b/src/param/float.rs
@@ -21,10 +21,10 @@ use super::{Param, ParamFlags};
 //      a partially written to value here. We should probably reconsider this at some point though.
 #[repr(C, align(4))]
 pub struct FloatParam {
-    /// The field's current plain, unnormalized value. Should be initialized with the default value.
-    /// Storing parameter values like this instead of in a single contiguous array is bad for cache
-    /// locality, but it does allow for a much nicer declarative API.
+    /// The field's current plain, unnormalized value.
     pub value: f32,
+    /// The field's current value normalized to the `[0, 1]` range.
+    normalized_value: f32,
     /// The field's default plain, unnormalized value.
     default: f32,
     /// An optional smoother that will automatically interpolate between the new automation values
@@ -69,6 +69,7 @@ impl Default for FloatParam {
     fn default() -> Self {
         Self {
             value: 0.0,
+            normalized_value: 0.0,
             default: 0.0,
             smoothed: Smoother::none(),
             flags: ParamFlags::default(),
@@ -112,6 +113,11 @@ impl Param for FloatParam {
         self.value
     }
 
+    #[inline]
+    fn normalized_value(&self) -> Self::Plain {
+        self.normalized_value
+    }
+
     #[inline]
     fn default_plain_value(&self) -> Self::Plain {
         self.default
@@ -146,8 +152,17 @@ impl Param for FloatParam {
 
     fn set_plain_value(&mut self, plain: Self::Plain) {
         self.value = plain;
+        self.normalized_value = self.preview_normalized(plain);
         if let Some(f) = &self.value_changed {
-            f(plain);
+            f(self.value);
+        }
+    }
+
+    fn set_normalized_value(&mut self, normalized: f32) {
+        self.value = self.preview_plain(normalized);
+        self.normalized_value = normalized;
+        if let Some(f) = &self.value_changed {
+            f(self.value);
         }
     }
 
@@ -218,6 +233,7 @@ impl FloatParam {
     pub fn new(name: impl Into<String>, default: f32, range: FloatRange) -> Self {
         Self {
             value: default,
+            normalized_value: range.normalize(default),
             default,
             range,
             name: name.into(),
diff --git a/src/param/integer.rs b/src/param/integer.rs
index aa8d2147..2d73382f 100644
--- a/src/param/integer.rs
+++ b/src/param/integer.rs
@@ -21,18 +21,18 @@ use super::{Param, ParamFlags};
 //      a partially written to value here. We should probably reconsider this at some point though.
 #[repr(C, align(4))]
 pub struct IntParam {
-    /// The field's current plain, unnormalized value. Should be initialized with the default value.
-    /// Storing parameter values like this instead of in a single contiguous array is bad for cache
-    /// locality, but it does allow for a much nicer declarative API.
+    /// The field's current plain, unnormalized value.
     pub value: i32,
+    /// The field's current value normalized to the `[0, 1]` range.
+    normalized_value: f32,
     /// The field's default plain, unnormalized value.
-    pub(crate) default: i32,
+    default: i32,
     /// An optional smoother that will automatically interpolate between the new automation values
     /// set by the host.
     pub smoothed: Smoother<i32>,
 
     /// Flags to control the parameter's behavior. See [`ParamFlags`].
-    pub(crate) flags: ParamFlags,
+    flags: ParamFlags,
     /// Optional callback for listening to value changes. The argument passed to this function is
     /// the parameter's new **plain** value. This should not do anything expensive as it may be
     /// called multiple times in rapid succession.
@@ -41,30 +41,31 @@ pub struct IntParam {
     /// parameters struct, move a clone of that `Arc` into this closure, and then modify that.
     ///
     /// TODO: We probably also want to pass the old value to this function.
-    pub(crate) value_changed: Option<Arc<dyn Fn(i32) + Send + Sync>>,
+    value_changed: Option<Arc<dyn Fn(i32) + Send + Sync>>,
 
     /// The distribution of the parameter's values.
-    pub(crate) range: IntRange,
+    range: IntRange,
     /// The parameter's human readable display name.
-    pub(crate) name: String,
+    name: String,
     /// The parameter value's unit, added after `value_to_string` if that is set. NIH-plug will not
     /// automatically add a space before the unit.
-    pub(crate) unit: &'static str,
+    unit: &'static str,
     /// Optional custom conversion function from a plain **unnormalized** value to a string.
-    pub(crate) value_to_string: Option<Arc<dyn Fn(i32) -> String + Send + Sync>>,
+    value_to_string: Option<Arc<dyn Fn(i32) -> String + Send + Sync>>,
     /// Optional custom conversion function from a string to a plain **unnormalized** value. If the
     /// string cannot be parsed, then this should return a `None`. If this happens while the
     /// parameter is being updated then the update will be canceled.
     ///
     /// The input string may or may not contain the unit, so you will need to be able to handle
     /// that.
-    pub(crate) string_to_value: Option<Arc<dyn Fn(&str) -> Option<i32> + Send + Sync>>,
+    string_to_value: Option<Arc<dyn Fn(&str) -> Option<i32> + Send + Sync>>,
 }
 
 impl Default for IntParam {
     fn default() -> Self {
         Self {
             value: 0,
+            normalized_value: 0.0,
             default: 0,
             smoothed: Smoother::none(),
             flags: ParamFlags::default(),
@@ -98,10 +99,17 @@ impl Param for IntParam {
         self.unit
     }
 
+    #[inline]
     fn plain_value(&self) -> Self::Plain {
         self.value
     }
 
+    #[inline]
+    fn normalized_value(&self) -> f32 {
+        self.normalized_value
+    }
+
+    #[inline]
     fn default_plain_value(&self) -> Self::Plain {
         self.default
     }
@@ -120,8 +128,17 @@ impl Param for IntParam {
 
     fn set_plain_value(&mut self, plain: Self::Plain) {
         self.value = plain;
+        self.normalized_value = self.preview_normalized(plain);
         if let Some(f) = &self.value_changed {
-            f(plain);
+            f(self.value);
+        }
+    }
+
+    fn set_normalized_value(&mut self, normalized: f32) {
+        self.value = self.preview_plain(normalized);
+        self.normalized_value = normalized;
+        if let Some(f) = &self.value_changed {
+            f(self.value);
         }
     }
 
@@ -180,6 +197,7 @@ impl IntParam {
     pub fn new(name: impl Into<String>, default: i32, range: IntRange) -> Self {
         Self {
             value: default,
+            normalized_value: range.normalize(default),
             default,
             range,
             name: name.into(),