diff --git a/crates/compose/src/lib.rs b/crates/compose/src/lib.rs
index cd0e7cbd..6d4c4bb9 100644
--- a/crates/compose/src/lib.rs
+++ b/crates/compose/src/lib.rs
@@ -576,8 +576,11 @@ fn compose_with_db(doc: &Document, story: &Story, frames: &[FrameSpec], opts: &C
             .and_then(|t| t.chars().next_back())
             .and_then(break_start);
         if let Some(t) = story.para_table(pi) {
+            let start = after_break.unwrap_or(pp.start_paragraph);
             if cur.last_baseline.is_some() {
-                cur.start(after_break.unwrap_or(pp.start_paragraph), &cols, frames, doc);
+                cur.start(start, &cols, frames, doc);
+            } else {
+                cur.start_at_top(start, frames, doc);
             }
             let at_top = cur.last_baseline.is_none();
             let start_at = (cur.fi, cur.col);
@@ -796,17 +799,22 @@ fn compose_with_db(doc: &Document, story: &Story, frames: &[FrameSpec], opts: &C
             StartParagraph::NextColumn => next_column(cur),
             other => cur.start(other, &cols, frames, doc),
         };
-        // Paragraph start options.
-        if let Some(start) = after_break
-            && cur.last_baseline.is_some()
-        {
-            begin_at(&mut cur, start);
+        // Paragraph start options. At the top of a frame there is nothing to break away from, but
+        // an odd or even page start still has to land on a page of that parity.
+        if let Some(start) = after_break {
+            if cur.last_baseline.is_some() {
+                begin_at(&mut cur, start);
+            } else {
+                cur.start_at_top(start, frames, doc);
+            }
         }
         if force_col[pi] {
             next_column(&mut cur);
         }
         if cur.last_baseline.is_some() {
             begin_at(&mut cur, pp.start_paragraph);
+        } else {
+            cur.start_at_top(pp.start_paragraph, frames, doc);
         }
         if spanning && cur.fi < frames.len() {
             // Close the band: the paragraph goes below the deepest of its columns, which are
@@ -1983,6 +1991,20 @@ impl Cursor {
             StartParagraph::NextEvenPage => self.next_page(frames, doc, Some(false)),
         }
     }
+    /// A start option for a paragraph at the top of a frame: there is nothing to break away from,
+    /// but an odd or even page start still has to land on a page of that parity, so a paragraph
+    /// at the top of an even page that asks for the next odd page moves on (and vice versa).
+    fn start_at_top(&mut self, start: StartParagraph, frames: &[FrameSpec], doc: &Document) {
+        let want_odd = match start {
+            StartParagraph::NextOddPage => true,
+            StartParagraph::NextEvenPage => false,
+            _ => return,
+        };
+        let Some(page) = frames.get(self.fi).and_then(|f| f.page) else { return };
+        if (doc.page_number(page) % 2 == 1) != want_odd {
+            self.next_page(frames, doc, Some(want_odd));
+        }
+    }
     /// Move to the next frame on a later page, one with an odd page number (`odd` true) or an
     /// even one (false) when asked. Frames without a page (parent pages) qualify; with no frame
     /// left, the rest of the story is overset.
diff --git a/crates/compose/src/tests.rs b/crates/compose/src/tests.rs
index 7a0e790d..f6f5c9ad 100644
--- a/crates/compose/src/tests.rs
+++ b/crates/compose/src/tests.rs
@@ -595,6 +595,29 @@ fn break_characters_end_their_paragraph_and_keep_page_parity() {
     assert_eq!(cs.overset_at, Some(text.find("four").unwrap()));
 }
 
+/// A paragraph that starts at the top of a frame isn't pushed on by Next Page, but Next Odd Page
+/// (or Next Even Page) still moves it when that frame is on a page of the other parity.
+#[test]
+fn odd_and_even_page_starts_keep_parity_at_the_top_of_a_frame() {
+    use designcraft_doc::StartParagraph;
+    use designcraft_doc::story::PAGE_BREAK;
+    let pages_of = |start: StartParagraph| {
+        let mut d = Document::new(&NewDocument { pages: 4, facing_pages: false, primary_text_frame: true, ..Default::default() });
+        let sid = d.settings.primary_story.unwrap();
+        // "two" begins at the top of page 2, after the page break that ends "one".
+        d.story_mut(sid).unwrap().insert(0, &format!("one{PAGE_BREAK}\ntwo\nthree"));
+        d.story_mut(sid).unwrap().paras[1].para.start_paragraph = Some(start);
+        let cs = compose_story(&d, sid, &ComposeOptions::default());
+        // Frame i is on page i + 1.
+        cs.frames.iter().enumerate().flat_map(|(fi, f)| f.lines.iter().map(move |l| (l.para, fi + 1))).collect::<Vec<_>>()
+    };
+    // Already at the top of an even page: Next Page and Next Even Page leave "two" where it is.
+    assert_eq!(pages_of(StartParagraph::NextPage), vec![(0, 1), (1, 2), (2, 2)]);
+    assert_eq!(pages_of(StartParagraph::NextEvenPage), vec![(0, 1), (1, 2), (2, 2)]);
+    // Next Odd Page takes it to page 3, leaving page 2 empty.
+    assert_eq!(pages_of(StartParagraph::NextOddPage), vec![(0, 1), (1, 3), (2, 3)]);
+}
+
 #[test]
 fn line_before_a_break_character_is_a_last_line() {
     // As in InDesign: column, frame and page breaks end the paragraph's last line (set with the