diff --git a/spec-results.json b/spec-results.json
index 062bd7b..ea271cd 100644
--- a/spec-results.json
+++ b/spec-results.json
@@ -169,6 +169,8 @@
       412,
       413,
       414,
+      415,
+      416,
       417,
       418,
       419,
@@ -215,6 +217,11 @@
       460,
       461,
       462,
+      463,
+      464,
+      465,
+      466,
+      467,
       468,
       469,
       470,
@@ -715,6 +722,8 @@
       412,
       413,
       414,
+      415,
+      416,
       417,
       418,
       419,
@@ -761,6 +770,11 @@
       460,
       461,
       462,
+      463,
+      464,
+      465,
+      466,
+      467,
       468,
       469,
       470,
diff --git a/src/Markdown/InlineParser.elm b/src/Markdown/InlineParser.elm
index 780df9f..28c5967 100644
--- a/src/Markdown/InlineParser.elm
+++ b/src/Markdown/InlineParser.elm
@@ -1757,7 +1757,7 @@ isOpenEmphasisToken closeToken openToken =
                             -- is not multiple of 3
                             -- is Open emphasis
                             modBy 3 (closeToken.length + openToken.length) /= 0
-
+                         || (modBy 3 closeToken.length == 0 && modBy 3 openToken.length == 0)
                         else
                             True
 
diff --git a/src/Markdown/Parser.elm b/src/Markdown/Parser.elm
index 1bb2a01..ccb4743 100644
--- a/src/Markdown/Parser.elm
+++ b/src/Markdown/Parser.elm
@@ -27,6 +27,7 @@ import Parser.Advanced as Advanced exposing ((|.), (|=), Nestable(..), Step(..),
 import Parser.Token as Token
 import ThematicBreak
 
+import Markdown.Helpers exposing (isEven)
 
 {-| Try parsing a markdown String into `Markdown.Block.Block`s.
 
@@ -187,8 +188,11 @@ mapInline inline =
                     Block.Strong (inlines |> List.map mapInline)
 
                 _ ->
-                    -- TODO fix this
-                    Block.Strong (inlines |> List.map mapInline)
+                    if level |> isEven  then
+                        Block.Strong [Inline.Emphasis (level - 2) inlines |> mapInline]
+                    else
+                        Block.Emphasis [Inline.Emphasis (level - 1) inlines |> mapInline]
+
         Inline.Strikethrough inlines ->
           Block.Strikethrough (inlines |> List.map mapInline)
 
diff --git a/test-results/failing/CommonMark/Emphasis and strong emphasis.md b/test-results/failing/CommonMark/Emphasis and strong emphasis.md
index 73a70ad..ff46001 100644
--- a/test-results/failing/CommonMark/Emphasis and strong emphasis.md	
+++ b/test-results/failing/CommonMark/Emphasis and strong emphasis.md	
@@ -1,145 +1,5 @@
 # CommonMark - Emphasis and strong emphasis
 
-## [Example 415](https://spec.commonmark.org/0.29/#example-415)
-
-This markdown:
-
-````````````markdown
-foo***bar***baz
-
-````````````
-
-Should give output:
-
-````````````html
-<p>foo<em><strong>bar</strong></em>baz</p>
-````````````
-
-But instead was:
-
-````````````html
-<p>foo***bar***baz</p>
-````````````
-## [Example 416](https://spec.commonmark.org/0.29/#example-416)
-
-This markdown:
-
-````````````markdown
-foo******bar*********baz
-
-````````````
-
-Should give output:
-
-````````````html
-<p>foo<strong><strong><strong>bar</strong></strong></strong>***baz</p>
-````````````
-
-But instead was:
-
-````````````html
-<p>foo******bar*********baz</p>
-````````````
-## [Example 463](https://spec.commonmark.org/0.29/#example-463)
-
-This markdown:
-
-````````````markdown
-****foo****
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong>foo</strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 464](https://spec.commonmark.org/0.29/#example-464)
-
-This markdown:
-
-````````````markdown
-____foo____
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong>foo</strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 465](https://spec.commonmark.org/0.29/#example-465)
-
-This markdown:
-
-````````````markdown
-******foo******
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong><strong>foo</strong></strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 466](https://spec.commonmark.org/0.29/#example-466)
-
-This markdown:
-
-````````````markdown
-***foo***
-
-````````````
-
-Should give output:
-
-````````````html
-<p><em><strong>foo</strong></em></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 467](https://spec.commonmark.org/0.29/#example-467)
-
-This markdown:
-
-````````````markdown
-_____foo_____
-
-````````````
-
-Should give output:
-
-````````````html
-<p><em><strong><strong>foo</strong></strong></em></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
 ## [Example 474](https://spec.commonmark.org/0.29/#example-474)
 
 This markdown:
diff --git a/test-results/failing/GFM/Emphasis and strong emphasis.md b/test-results/failing/GFM/Emphasis and strong emphasis.md
index 802dde8..608b793 100644
--- a/test-results/failing/GFM/Emphasis and strong emphasis.md	
+++ b/test-results/failing/GFM/Emphasis and strong emphasis.md	
@@ -1,145 +1,5 @@
 # GFM - Emphasis and strong emphasis
 
-## [Example 415](https://spec.commonmark.org/0.29/#example-415)
-
-This markdown:
-
-````````````markdown
-foo***bar***baz
-
-````````````
-
-Should give output:
-
-````````````html
-<p>foo<em><strong>bar</strong></em>baz</p>
-````````````
-
-But instead was:
-
-````````````html
-<p>foo***bar***baz</p>
-````````````
-## [Example 416](https://spec.commonmark.org/0.29/#example-416)
-
-This markdown:
-
-````````````markdown
-foo******bar*********baz
-
-````````````
-
-Should give output:
-
-````````````html
-<p>foo<strong><strong><strong>bar</strong></strong></strong>***baz</p>
-````````````
-
-But instead was:
-
-````````````html
-<p>foo******bar*********baz</p>
-````````````
-## [Example 463](https://spec.commonmark.org/0.29/#example-463)
-
-This markdown:
-
-````````````markdown
-****foo****
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong>foo</strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 464](https://spec.commonmark.org/0.29/#example-464)
-
-This markdown:
-
-````````````markdown
-____foo____
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong>foo</strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 465](https://spec.commonmark.org/0.29/#example-465)
-
-This markdown:
-
-````````````markdown
-******foo******
-
-````````````
-
-Should give output:
-
-````````````html
-<p><strong><strong><strong>foo</strong></strong></strong></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 466](https://spec.commonmark.org/0.29/#example-466)
-
-This markdown:
-
-````````````markdown
-***foo***
-
-````````````
-
-Should give output:
-
-````````````html
-<p><em><strong>foo</strong></em></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
-## [Example 467](https://spec.commonmark.org/0.29/#example-467)
-
-This markdown:
-
-````````````markdown
-_____foo_____
-
-````````````
-
-Should give output:
-
-````````````html
-<p><em><strong><strong>foo</strong></strong></em></p>
-````````````
-
-But instead was:
-
-````````````html
-<p><strong>foo</strong></p>
-````````````
 ## [Example 474](https://spec.commonmark.org/0.29/#example-474)
 
 This markdown:
diff --git a/test-results/failing/New/em_list_links.md b/test-results/failing/New/em_list_links.md
index 1c0d99c..285751a 100644
--- a/test-results/failing/New/em_list_links.md
+++ b/test-results/failing/New/em_list_links.md
@@ -56,5 +56,5 @@ Should give output:
 But instead was:
 
 ````````````html
-<ul><li>italic</li></ul><p>-<a href="https://www.google.com"><em>named link</em></a>-<em><a href="https://www.google.com">named link</a></em>-<a href="https://www.google.com"><em>named link</em></a>-<em><a href="https://www.google.com">named link</a></em></p><ul><li>bold</li></ul><p>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong></p><ul><li>bold italic</li></ul><p>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong>-<a href="https://www.google.com"><em><strong>named link</strong></em></a>-<a href="https://www.google.com"><strong><em>named link</em></strong></a>-<strong><em><a href="https://www.google.com">named link</a></em></strong></p><ul><li>code</li></ul><p>-<a href="https://www.google.com"><code>named link</code></a></p><ul><li>code italic</li></ul><p>-<em><a href="https://www.google.com"><code>named link</code></a></em>-<a href="https://www.google.com"><em><code>named link</code></em></a>-<em><a href="https://www.google.com"><code>named link</code></a></em>-<a href="https://www.google.com"><em><code>named link</code></em></a></p><ul><li>code bold</li></ul><p>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><strong><code>named link</code></strong></a>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><strong><code>named link</code></strong></a></p><ul><li>code bold italic</li></ul><p>-<a href="https://www.google.com"><strong><code>named link</code></strong></a>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><strong><code>named link</code></strong></a>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><em><strong><code>named link</code></strong></em></a>-<a href="https://www.google.com"><strong><em><code>named link</code></em></strong></a>-<strong><em><a href="https://www.google.com"><code>named link</code></a></em></strong></p>
+<ul><li>italic</li></ul><p>-<a href="https://www.google.com"><em>named link</em></a>-<em><a href="https://www.google.com">named link</a></em>-<a href="https://www.google.com"><em>named link</em></a>-<em><a href="https://www.google.com">named link</a></em></p><ul><li>bold</li></ul><p>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong>-<a href="https://www.google.com"><strong>named link</strong></a>-<strong><a href="https://www.google.com">named link</a></strong></p><ul><li>bold italic</li></ul><p>-<a href="https://www.google.com"><em><strong>named link</strong></em></a>-<em><strong><a href="https://www.google.com">named link</a></strong></em>-<a href="https://www.google.com"><em><strong>named link</strong></em></a>-<em><strong><a href="https://www.google.com">named link</a></strong></em>-<a href="https://www.google.com"><em><strong>named link</strong></em></a>-<a href="https://www.google.com"><strong><em>named link</em></strong></a>-<strong><em><a href="https://www.google.com">named link</a></em></strong></p><ul><li>code</li></ul><p>-<a href="https://www.google.com"><code>named link</code></a></p><ul><li>code italic</li></ul><p>-<em><a href="https://www.google.com"><code>named link</code></a></em>-<a href="https://www.google.com"><em><code>named link</code></em></a>-<em><a href="https://www.google.com"><code>named link</code></a></em>-<a href="https://www.google.com"><em><code>named link</code></em></a></p><ul><li>code bold</li></ul><p>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><strong><code>named link</code></strong></a>-<strong><a href="https://www.google.com"><code>named link</code></a></strong>-<a href="https://www.google.com"><strong><code>named link</code></strong></a></p><ul><li>code bold italic</li></ul><p>-<a href="https://www.google.com"><em><strong><code>named link</code></strong></em></a>-<em><strong><a href="https://www.google.com"><code>named link</code></a></strong></em>-<a href="https://www.google.com"><em><strong><code>named link</code></strong></em></a>-<em><strong><a href="https://www.google.com"><code>named link</code></a></strong></em>-<a href="https://www.google.com"><em><strong><code>named link</code></strong></em></a>-<a href="https://www.google.com"><strong><em><code>named link</code></em></strong></a>-<strong><em><a href="https://www.google.com"><code>named link</code></a></em></strong></p>
 ````````````
diff --git a/test-results/failing/Original/strong_and_em_together.md b/test-results/failing/Original/strong_and_em_together.md
index 63a27fb..ce68002 100644
--- a/test-results/failing/Original/strong_and_em_together.md
+++ b/test-results/failing/Original/strong_and_em_together.md
@@ -24,5 +24,5 @@ Should give output:
 But instead was:
 
 ````````````html
-<p><strong>This is strong and em.</strong></p><p>So is<strong>this</strong>word.</p><p><strong>This is strong and em.</strong></p><p>So is<strong>this</strong>word.</p>
+<p><em><strong>This is strong and em.</strong></em></p><p>So is<em><strong>this</strong></em>word.</p><p><em><strong>This is strong and em.</strong></em></p><p>So is<em><strong>this</strong></em>word.</p>
 ````````````
diff --git a/test-results/passing-CommonMark.md b/test-results/passing-CommonMark.md
index 29c3c5d..c485381 100644
--- a/test-results/passing-CommonMark.md
+++ b/test-results/passing-CommonMark.md
@@ -3019,6 +3019,42 @@ Gives this correct output:
 
 ````````````
 
+### [Example 415](https://spec.commonmark.org/0.29/#example-415)
+
+This markdown:
+
+
+````````````markdown
+foo***bar***baz
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p>foo<em><strong>bar</strong></em>baz</p>
+
+````````````
+
+### [Example 416](https://spec.commonmark.org/0.29/#example-416)
+
+This markdown:
+
+
+````````````markdown
+foo******bar*********baz
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p>foo<strong><strong><strong>bar</strong></strong></strong>***baz</p>
+
+````````````
+
 ### [Example 417](https://spec.commonmark.org/0.29/#example-417)
 
 This markdown:
@@ -3851,6 +3887,96 @@ Gives this correct output:
 
 ````````````
 
+### [Example 463](https://spec.commonmark.org/0.29/#example-463)
+
+This markdown:
+
+
+````````````markdown
+****foo****
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong>foo</strong></strong></p>
+
+````````````
+
+### [Example 464](https://spec.commonmark.org/0.29/#example-464)
+
+This markdown:
+
+
+````````````markdown
+____foo____
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong>foo</strong></strong></p>
+
+````````````
+
+### [Example 465](https://spec.commonmark.org/0.29/#example-465)
+
+This markdown:
+
+
+````````````markdown
+******foo******
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong><strong>foo</strong></strong></strong></p>
+
+````````````
+
+### [Example 466](https://spec.commonmark.org/0.29/#example-466)
+
+This markdown:
+
+
+````````````markdown
+***foo***
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><em><strong>foo</strong></em></p>
+
+````````````
+
+### [Example 467](https://spec.commonmark.org/0.29/#example-467)
+
+This markdown:
+
+
+````````````markdown
+_____foo_____
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><em><strong><strong>foo</strong></strong></em></p>
+
+````````````
+
 ### [Example 468](https://spec.commonmark.org/0.29/#example-468)
 
 This markdown:
diff --git a/test-results/passing-GFM.md b/test-results/passing-GFM.md
index 2b3d116..1f5a46d 100644
--- a/test-results/passing-GFM.md
+++ b/test-results/passing-GFM.md
@@ -3019,6 +3019,42 @@ Gives this correct output:
 
 ````````````
 
+### [Example 415](https://spec.commonmark.org/0.29/#example-415)
+
+This markdown:
+
+
+````````````markdown
+foo***bar***baz
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p>foo<em><strong>bar</strong></em>baz</p>
+
+````````````
+
+### [Example 416](https://spec.commonmark.org/0.29/#example-416)
+
+This markdown:
+
+
+````````````markdown
+foo******bar*********baz
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p>foo<strong><strong><strong>bar</strong></strong></strong>***baz</p>
+
+````````````
+
 ### [Example 417](https://spec.commonmark.org/0.29/#example-417)
 
 This markdown:
@@ -3851,6 +3887,96 @@ Gives this correct output:
 
 ````````````
 
+### [Example 463](https://spec.commonmark.org/0.29/#example-463)
+
+This markdown:
+
+
+````````````markdown
+****foo****
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong>foo</strong></strong></p>
+
+````````````
+
+### [Example 464](https://spec.commonmark.org/0.29/#example-464)
+
+This markdown:
+
+
+````````````markdown
+____foo____
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong>foo</strong></strong></p>
+
+````````````
+
+### [Example 465](https://spec.commonmark.org/0.29/#example-465)
+
+This markdown:
+
+
+````````````markdown
+******foo******
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><strong><strong><strong>foo</strong></strong></strong></p>
+
+````````````
+
+### [Example 466](https://spec.commonmark.org/0.29/#example-466)
+
+This markdown:
+
+
+````````````markdown
+***foo***
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><em><strong>foo</strong></em></p>
+
+````````````
+
+### [Example 467](https://spec.commonmark.org/0.29/#example-467)
+
+This markdown:
+
+
+````````````markdown
+_____foo_____
+
+````````````
+
+Gives this correct output:
+
+
+````````````html
+<p><em><strong><strong>foo</strong></strong></em></p>
+
+````````````
+
 ### [Example 468](https://spec.commonmark.org/0.29/#example-468)
 
 This markdown: