diff --git a/news/changelog-1.11.md b/news/changelog-1.11.md
index e9da3f5f958..35895e97573 100644
--- a/news/changelog-1.11.md
+++ b/news/changelog-1.11.md
@@ -11,6 +11,7 @@ All changes included in 1.11:
 
 ## Accessibility
 
+- ([#730](https://github.com/quarto-dev/quarto-cli/issues/730)): Fix keyboard navigation of tabsets in HTML documents without Bootstrap (`theme: none`): Tab now moves from the selected tab into its panel instead of selecting the next tab, and the arrow keys switch tabs.
 - ([#13463](https://github.com/quarto-dev/quarto-cli/issues/13463)): The dark/light mode toggle is now a switch (`button` with `role="switch"`, `aria-checked`, and a localized `aria-label`) instead of a link.
 - ([#14615](https://github.com/quarto-dev/quarto-cli/issues/14615)): Fix invalid `role="menu"` on the website navbar's collapse toggle button, flagged by axe-core (`aria-allowed-role`) and WAVE (`aria-role-mismatch`).
 - ([#12116](https://github.com/quarto-dev/quarto-cli/issues/12116), [#4935](https://github.com/quarto-dev/quarto-cli/issues/4935)): Website sidebar section toggles are now `<button>` elements, so they are keyboard accessible and properly announced.
@@ -45,6 +46,7 @@ All changes included in 1.11:
 ### `revealjs`
 
 - ([#14996](https://github.com/quarto-dev/quarto-cli/pull/14996)): Fix `controls: auto` and `previewLinks: auto` set at the top level of a revealjs document's front matter producing a presentation that fails to load, because `auto` was written unquoted into the generated JavaScript.
+- ([#15007](https://github.com/quarto-dev/quarto-cli/pull/15007)): Fix Home/End on a focused tabset tab also jumping to the first or last slide in addition to switching tabs.
 
 ### `typst`
 
diff --git a/src/resources/formats/html/tabby/js/tabby.js b/src/resources/formats/html/tabby/js/tabby.js
index 4f44c7d8a22..94a2bb9493c 100644
--- a/src/resources/formats/html/tabby/js/tabby.js
+++ b/src/resources/formats/html/tabby/js/tabby.js
@@ -70,6 +70,13 @@
       tab.dispatchEvent(event);
     };
 
+    // In revealjs, arrow keys belong to slide navigation: tabs stay in the Tab
+    // order and activate on focus. Elsewhere tabs use a roving tabindex with
+    // arrow key navigation.
+    var isReveal = function () {
+      return window.document.body.classList.contains("reveal-viewport");
+    };
+
     var focusHandler = function (event) {
       toggle(event.target);
     };
@@ -134,11 +141,12 @@
         tab.setAttribute("aria-selected", "true");
       } else {
         tab.setAttribute("aria-selected", "false");
+        if (!isReveal()) tab.setAttribute("tabindex", "-1");
         content.setAttribute("hidden", "hidden");
       }
 
       // add focus event listender
-      tab.addEventListener("focus", focusHandler);
+      if (isReveal()) tab.addEventListener("focus", focusHandler);
     };
 
     /**
@@ -155,6 +163,7 @@
 
       // Hide the tab
       tab.setAttribute("aria-selected", "false");
+      if (!isReveal()) tab.setAttribute("tabindex", "-1");
 
       // Hide the content
       if (!content) return { previousTab: tab };
@@ -174,6 +183,7 @@
      */
     var show = function (tab, content) {
       tab.setAttribute("aria-selected", "true");
+      if (!isReveal()) tab.setAttribute("tabindex", "0");
       content.removeAttribute("hidden");
       tab.focus();
     };
@@ -313,8 +323,7 @@
         tabWrapper.setAttribute("role", "tablist");
 
         // Add roles to tabs. provide dynanmic tab indexes if we are within reveal
-        var contentTabindexes =
-          window.document.body.classList.contains("reveal-viewport");
+        var contentTabindexes = isReveal();
         var nextTabindex = 1;
         Array.prototype.forEach.call(tabs, function (tab) {
           if (contentTabindexes) {
@@ -380,7 +389,26 @@
         if (!tab.matches(selector + ' [role="tab"]')) return;
 
         // Only run for specific keys
-        if (["Home", "End"].indexOf(event.key) < 0) return;
+        var keys = isReveal()
+          ? ["Home", "End"]
+          : [
+              "ArrowUp",
+              "ArrowDown",
+              "ArrowLeft",
+              "ArrowRight",
+              "Up",
+              "Down",
+              "Left",
+              "Right",
+              "Home",
+              "End",
+            ];
+        if (keys.indexOf(event.key) < 0) return;
+
+        // Keep the key from also scrolling the page or, in revealjs, from
+        // changing slide
+        event.preventDefault();
+        event.stopPropagation();
 
         // Switch tabs
         switchTabs(tab, event.key);
diff --git a/tests/docs/playwright/html/tabsets/tabby-keyboard.qmd b/tests/docs/playwright/html/tabsets/tabby-keyboard.qmd
new file mode 100644
index 00000000000..887d900ea87
--- /dev/null
+++ b/tests/docs/playwright/html/tabsets/tabby-keyboard.qmd
@@ -0,0 +1,29 @@
+---
+pagetitle: Tabby tabset keyboard navigation
+format:
+  html:
+    theme: none
+---
+
+<!-- Buttons rather than links: WebKit skips links when tabbing by default. -->
+
+<button type="button">Button before the tabset</button>
+
+::: {.panel-tabset}
+
+### Tab A
+
+<button type="button">Button in tab A</button>
+
+### Tab B
+
+<button type="button">Button in tab B</button>
+
+### Tab C
+
+<button type="button">Button in tab C</button>
+
+:::
+
+::: {style="height: 300vh"}
+:::
diff --git a/tests/docs/playwright/revealjs/tabset-focus-order.qmd b/tests/docs/playwright/revealjs/tabset-focus-order.qmd
new file mode 100644
index 00000000000..b1bd68db25b
--- /dev/null
+++ b/tests/docs/playwright/revealjs/tabset-focus-order.qmd
@@ -0,0 +1,30 @@
+---
+pagetitle: Tabset focus order
+format: revealjs
+---
+
+## Slide 1
+
+A [link on slide 1](https://quarto.org).
+
+## Slide 2
+
+Plain slide.
+
+## Slide 3
+
+::: {.panel-tabset}
+
+### Tab A
+
+Content A with a [link in tab A](https://quarto.org).
+
+### Tab B
+
+Content B with a [link in tab B](https://quarto.org).
+
+:::
+
+## Slide 4
+
+Plain slide after the tabset.
diff --git a/tests/integration/playwright/tests/html-tabsets.spec.ts b/tests/integration/playwright/tests/html-tabsets.spec.ts
index 38f5e78a7c2..35dc0479c71 100644
--- a/tests/integration/playwright/tests/html-tabsets.spec.ts
+++ b/tests/integration/playwright/tests/html-tabsets.spec.ts
@@ -17,4 +17,51 @@ test('Jupyter - Creates working tabsets from for loops', async ({ page }) => {
   const tab2Content = tabContent.locator('div.tab-pane').nth(1); 
   await expect(tab2Content).toHaveClass(/active/);
   await expect(tab2Content.locator('img')).toBeVisible();
+});
+
+test.describe('Tabby tabsets (theme: none) keyboard navigation', () => {
+  test.beforeEach(async ({ page }) => {
+    await page.goto('/html/tabsets/tabby-keyboard.html');
+    await expect(page.getByRole('tablist')).toBeAttached();
+  });
+
+  test('Tab moves from the selected tab into its panel (#730)', async ({ page }) => {
+    await page.getByRole('button', { name: 'Button before the tabset' }).focus();
+    await page.keyboard.press('Tab');
+    await expect(page.getByRole('tab', { name: 'Tab A' })).toBeFocused();
+    await page.keyboard.press('Tab');
+    await expect(page.getByRole('button', { name: 'Button in tab A' })).toBeFocused();
+    await expect(page.getByRole('tab', { name: 'Tab A' })).toHaveAttribute('aria-selected', 'true');
+  });
+
+  test('Shift+Tab from the panel returns to the selected tab', async ({ page }) => {
+    await page.getByRole('tab', { name: 'Tab B' }).click();
+    await page.getByRole('button', { name: 'Button in tab B' }).focus();
+    await page.keyboard.press('Shift+Tab');
+    await expect(page.getByRole('tab', { name: 'Tab B' })).toBeFocused();
+  });
+
+  test('Arrow keys move to and select the adjacent tab, wrapping around', async ({ page }) => {
+    await page.getByRole('tab', { name: 'Tab A' }).focus();
+    await page.keyboard.press('ArrowRight');
+    const tabB = page.getByRole('tab', { name: 'Tab B' });
+    await expect(tabB).toBeFocused();
+    await expect(tabB).toHaveAttribute('aria-selected', 'true');
+    await expect(page.getByRole('button', { name: 'Button in tab B' })).toBeVisible();
+    await page.keyboard.press('ArrowLeft');
+    await page.keyboard.press('ArrowLeft');
+    const tabC = page.getByRole('tab', { name: 'Tab C' });
+    await expect(tabC).toBeFocused();
+    await expect(tabC).toHaveAttribute('aria-selected', 'true');
+  });
+
+  test('Home and End select the first and last tab without scrolling the page', async ({ page }) => {
+    await page.getByRole('tab', { name: 'Tab A' }).focus();
+    const scrollBefore = await page.evaluate(() => window.scrollY);
+    await page.keyboard.press('End');
+    await expect(page.getByRole('tab', { name: 'Tab C' })).toHaveAttribute('aria-selected', 'true');
+    expect(await page.evaluate(() => window.scrollY)).toBe(scrollBefore);
+    await page.keyboard.press('Home');
+    await expect(page.getByRole('tab', { name: 'Tab A' })).toHaveAttribute('aria-selected', 'true');
+  });
 });
\ No newline at end of file
diff --git a/tests/integration/playwright/tests/revealjs.spec.ts b/tests/integration/playwright/tests/revealjs.spec.ts
index c15f05cfbcf..9b23742fef9 100644
--- a/tests/integration/playwright/tests/revealjs.spec.ts
+++ b/tests/integration/playwright/tests/revealjs.spec.ts
@@ -82,3 +82,18 @@ test('internal id for links between slides are working', async ({ page }) => {
   await page.getByRole('link', { name: 'Theorem' }).click();
   await page.waitForURL(/theorem$/);
 });
+
+test('Home and End on a focused tabset tab do not change slide', async ({ page }) => {
+  await page.goto('./revealjs/tabset-focus-order.html#/slide-3');
+  // Located by attribute rather than role: if reveal leaves the slide, it marks
+  // the slide aria-hidden and a role query would fail before the slide check.
+  const tab = (name: string) => page.locator('[role="tab"]', { hasText: name });
+  await expect(tab('Tab A')).toBeAttached();
+  await tab('Tab A').focus();
+  await page.keyboard.press('End');
+  await expect(tab('Tab B')).toHaveAttribute('aria-selected', 'true');
+  await expect(page.locator('section.slide.present')).toHaveId('slide-3');
+  await page.keyboard.press('Home');
+  await expect(tab('Tab A')).toHaveAttribute('aria-selected', 'true');
+  await expect(page.locator('section.slide.present')).toHaveId('slide-3');
+});