diff --git a/src/eval/delta.rs b/src/eval/delta.rs
index 08402e4..883202f 100644
--- a/src/eval/delta.rs
+++ b/src/eval/delta.rs
@@ -358,7 +358,7 @@ mod tests {
     fn apply_dt(step: Step, from: (i32, u32, u32, u32, u32)) -> Result<(NaiveDate, Time)> {
         delta(step).apply_date_time(
             NaiveDate::from_ymd(from.0, from.1, from.2),
-            Time::new(from.3, from.4).unwrap(),
+            Time::new(from.3, from.4),
         )
     }
 
@@ -368,7 +368,7 @@ mod tests {
             apply_dt(step, from).unwrap(),
             (
                 NaiveDate::from_ymd(expected.0, expected.1, expected.2),
-                Time::new(expected.3, expected.4).unwrap()
+                Time::new(expected.3, expected.4)
             )
         );
     }
@@ -552,34 +552,34 @@ mod tests {
     #[test]
     fn delta_time() {
         test_dt(
-            Step::Time(Time::new(12, 33).unwrap()),
+            Step::Time(Time::new(12, 33)),
             (2021, 7, 3, 12, 34),
             (2021, 7, 4, 12, 33),
         );
         test_dt(
-            Step::Time(Time::new(12, 34).unwrap()),
+            Step::Time(Time::new(12, 34)),
             (2021, 7, 3, 12, 34),
             (2021, 7, 3, 12, 34),
         );
         test_dt(
-            Step::Time(Time::new(12, 35).unwrap()),
+            Step::Time(Time::new(12, 35)),
             (2021, 7, 3, 12, 34),
             (2021, 7, 3, 12, 35),
         );
 
         // 24:00 != 00:00
         test_dt(
-            Step::Time(Time::new(24, 0).unwrap()),
+            Step::Time(Time::new(24, 0)),
             (2021, 7, 3, 12, 0),
             (2021, 7, 3, 24, 0),
         );
         test_dt(
-            Step::Time(Time::new(0, 0).unwrap()),
+            Step::Time(Time::new(0, 0)),
             (2021, 7, 3, 12, 0),
             (2021, 7, 4, 0, 0),
         );
 
         // Requires time
-        assert!(apply_d(Step::Time(Time::new(12, 34).unwrap()), (2021, 7, 3)).is_err());
+        assert!(apply_d(Step::Time(Time::new(12, 34)), (2021, 7, 3)).is_err());
     }
 }
diff --git a/src/files/parse.rs b/src/files/parse.rs
index 50fd490..729f616 100644
--- a/src/files/parse.rs
+++ b/src/files/parse.rs
@@ -84,9 +84,11 @@ fn parse_time(p: Pair<'_, Rule>) -> Result<Spanned<Time>> {
 
     assert_eq!(p.next(), None);
 
-    match Time::new(hour, min) {
-        Some(time) => Ok(Spanned::new(span, time)),
-        None => fail(pspan, "invalid time"),
+    let time = Time::new(hour, min);
+    if time.in_normal_range() {
+        Ok(Spanned::new(span, time))
+    } else {
+        fail(pspan, "invalid time")
     }
 }
 
diff --git a/src/files/primitives.rs b/src/files/primitives.rs
index 8052513..80ab28e 100644
--- a/src/files/primitives.rs
+++ b/src/files/primitives.rs
@@ -1,6 +1,8 @@
 use std::cmp::{self, Ordering};
 use std::fmt;
 
+use chrono::{NaiveTime, Timelike};
+
 #[derive(Debug, Clone, Copy)]
 pub struct Span {
     pub start: usize,
@@ -63,18 +65,39 @@ impl fmt::Debug for Time {
     }
 }
 
+impl From<NaiveTime> for Time {
+    fn from(t: NaiveTime) -> Self {
+        Self::new(t.hour(), t.minute())
+    }
+}
+
 impl Time {
-    pub fn new(hour: u32, min: u32) -> Option<Self> {
-        if hour < 24 && min < 60 || hour == 24 && min == 0 {
-            Some(Self {
-                hour: hour as u8,
-                min: min as u8,
-            })
-        } else {
-            None
+    pub fn new(hour: u32, min: u32) -> Self {
+        Self {
+            hour: hour as u8,
+            min: min as u8,
         }
     }
 
+    /// Whether this time is within the normal range for times. This means that
+    /// the minutes are always smaller than 60 and the whole time is between
+    /// `00:00` and `24:00` (inclusive).
+    ///
+    /// In cases like leap seconds or daylight savings time, it is possible that
+    /// times outside of this range occur.
+    pub fn in_normal_range(&self) -> bool {
+        if self.min >= 60 {
+            return false;
+        }
+        if self.hour > 24 {
+            return false;
+        }
+        if self.hour == 24 && self.min != 0 {
+            return false;
+        }
+        true
+    }
+
     pub fn add_minutes(&self, amount: i32) -> (i32, Self) {
         match amount.cmp(&0) {
             Ordering::Less => {
@@ -85,7 +108,7 @@ impl Time {
 
                 let hour = mins.div_euclid(60) as u32;
                 let min = mins.rem_euclid(60) as u32;
-                (days, Self::new(hour, min).unwrap())
+                (days, Self::new(hour, min))
             }
             Ordering::Greater => {
                 let mut mins = (self.hour as i32) * 60 + (self.min as i32) + amount;
@@ -101,7 +124,7 @@ impl Time {
 
                 let hour = mins.div_euclid(60) as u32;
                 let min = mins.rem_euclid(60) as u32;
-                (days, Self::new(hour, min).unwrap())
+                (days, Self::new(hour, min))
             }
             Ordering::Equal => (0, *self),
         }