diff --git a/builtin/blame.c b/builtin/blame.c
index f932112e72..aa1abb6d5e 100644
--- a/builtin/blame.c
+++ b/builtin/blame.c
@@ -2495,13 +2495,13 @@ parse_done:
 	bottom = top = 0;
 	if (bottomtop)
 		prepare_blame_range(&sb, bottomtop, lno, &bottom, &top);
+	if (lno < top || ((lno || bottom) && lno < bottom))
+		die("file %s has only %lu lines", path, lno);
 	if (bottom < 1)
 		bottom = 1;
 	if (top < 1)
 		top = lno;
 	bottom--;
-	if (lno < top || lno < bottom)
-		die("file %s has only %lu lines", path, lno);
 
 	ent = xcalloc(1, sizeof(*ent));
 	ent->lno = bottom;
diff --git a/line-log.c b/line-log.c
index c2d01dccc2..1c3ac8dccd 100644
--- a/line-log.c
+++ b/line-log.c
@@ -594,13 +594,13 @@ parse_lines(struct commit *commit, const char *prefix, struct string_list *args)
 				    lines, &begin, &end,
 				    full_name))
 			die("malformed -L argument '%s'", range_part);
+		if (lines < end || ((lines || begin) && lines < begin))
+			die("file %s has only %lu lines", name_part, lines);
 		if (begin < 1)
 			begin = 1;
 		if (end < 1)
 			end = lines;
 		begin--;
-		if (lines < end || lines < begin)
-			die("file %s has only %ld lines", name_part, lines);
 		line_log_data_insert(&ranges, full_name, begin, end);
 
 		free_filespec(spec);
diff --git a/line-range.c b/line-range.c
index 3942475c2f..69e8d6b6c0 100644
--- a/line-range.c
+++ b/line-range.c
@@ -21,11 +21,13 @@ static const char *parse_loc(const char *spec, nth_line_fn_t nth_line,
 	 * for 20 lines, or "-L <something>,-5" for 5 lines ending at
 	 * <something>.
 	 */
-	if (1 < begin && (spec[0] == '+' || spec[0] == '-')) {
+	if (1 <= begin && (spec[0] == '+' || spec[0] == '-')) {
 		num = strtol(spec + 1, &term, 10);
 		if (term != spec + 1) {
 			if (!ret)
 				return term;
+			if (num == 0)
+				die("-L invalid empty range");
 			if (spec[0] == '-')
 				num = 0 - num;
 			if (0 < num)
diff --git a/t/annotate-tests.sh b/t/annotate-tests.sh
index d4e7f4736f..ce5b8ed304 100644
--- a/t/annotate-tests.sh
+++ b/t/annotate-tests.sh
@@ -185,6 +185,14 @@ test_expect_success 'blame -L Y,X (undocumented)' '
 	check_count -L6,3 B 1 B1 1 B2 1 D 1
 '
 
+test_expect_success 'blame -L ,+0' '
+	test_must_fail $PROG -L,+0 file
+'
+
+test_expect_success 'blame -L X,+0' '
+	test_must_fail $PROG -L1,+0 file
+'
+
 test_expect_success 'blame -L X,+1' '
 	check_count -L3,+1 B2 1
 '
@@ -193,6 +201,14 @@ test_expect_success 'blame -L X,+N' '
 	check_count -L3,+4 B 1 B1 1 B2 1 D 1
 '
 
+test_expect_success 'blame -L ,-0' '
+	test_must_fail $PROG -L,-0 file
+'
+
+test_expect_success 'blame -L X,-0' '
+	test_must_fail $PROG -L1,-0 file
+'
+
 test_expect_success 'blame -L X,-1' '
 	check_count -L3,-1 B2 1
 '
@@ -225,10 +241,32 @@ test_expect_success 'blame -L /RE/,-N' '
 	check_count -L/99/,-3 B 1 B2 1 D 1
 '
 
+# 'file' ends with an incomplete line, so 'wc' reports one fewer lines than
+# git-blame sees, hence the last line is actually $(wc...)+1.
+test_expect_success 'blame -L X (X == nlines)' '
+	n=$(expr $(wc -l <file) + 1) &&
+	check_count -L$n C 1
+'
+
+test_expect_success 'blame -L X (X == nlines + 1)' '
+	n=$(expr $(wc -l <file) + 2) &&
+	test_must_fail $PROG -L$n file
+'
+
 test_expect_success 'blame -L X (X > nlines)' '
 	test_must_fail $PROG -L12345 file
 '
 
+test_expect_success 'blame -L ,Y (Y == nlines)' '
+	n=$(expr $(wc -l <file) + 1) &&
+	check_count -L,$n A 1 B 1 B1 1 B2 1 "A U Thor" 1 C 1 D 1 E 1
+'
+
+test_expect_success 'blame -L ,Y (Y == nlines + 1)' '
+	n=$(expr $(wc -l <file) + 2) &&
+	test_must_fail $PROG -L,$n file
+'
+
 test_expect_success 'blame -L ,Y (Y > nlines)' '
 	test_must_fail $PROG -L,12345 file
 '
@@ -275,12 +313,102 @@ test_expect_success 'blame -L :nomatch' '
 	test_must_fail $PROG -L:nomatch hello.c
 '
 
-test_expect_success 'blame -L bogus' '
-	test_must_fail $PROG -L file &&
-	test_must_fail $PROG -L1,+ file &&
-	test_must_fail $PROG -L1,- file &&
-	test_must_fail $PROG -LX file &&
-	test_must_fail $PROG -L1,X file &&
-	test_must_fail $PROG -L1,+N file &&
+test_expect_success 'setup incremental' '
+	(
+	GIT_AUTHOR_NAME=I &&
+	export GIT_AUTHOR_NAME &&
+	GIT_AUTHOR_EMAIL=I@test.git &&
+	export GIT_AUTHOR_EMAIL &&
+	>incremental &&
+	git add incremental &&
+	git commit -m "step 0" &&
+	printf "partial" >>incremental &&
+	git commit -a -m "step 0.5" &&
+	echo >>incremental &&
+	git commit -a -m "step 1"
+	)
+'
+
+test_expect_success 'blame empty' '
+	check_count -h HEAD^^ -f incremental
+'
+
+test_expect_success 'blame -L 0 empty (undocumented)' '
+	check_count -h HEAD^^ -f incremental -L0
+'
+
+test_expect_success 'blame -L 1 empty' '
+	test_must_fail $PROG -L1 incremental HEAD^^
+'
+
+test_expect_success 'blame -L 2 empty' '
+	test_must_fail $PROG -L2 incremental HEAD^^
+'
+
+test_expect_success 'blame half' '
+	check_count -h HEAD^ -f incremental I 1
+'
+
+test_expect_success 'blame -L 0 half (undocumented)' '
+	check_count -h HEAD^ -f incremental -L0 I 1
+'
+
+test_expect_success 'blame -L 1 half' '
+	check_count -h HEAD^ -f incremental -L1 I 1
+'
+
+test_expect_success 'blame -L 2 half' '
+	test_must_fail $PROG -L2 incremental HEAD^
+'
+
+test_expect_success 'blame -L 3 half' '
+	test_must_fail $PROG -L3 incremental HEAD^
+'
+
+test_expect_success 'blame full' '
+	check_count -f incremental I 1
+'
+
+test_expect_success 'blame -L 0 full (undocumented)' '
+	check_count -f incremental -L0 I 1
+'
+
+test_expect_success 'blame -L 1 full' '
+	check_count -f incremental -L1 I 1
+'
+
+test_expect_success 'blame -L 2 full' '
+	test_must_fail $PROG -L2 incremental
+'
+
+test_expect_success 'blame -L 3 full' '
+	test_must_fail $PROG -L3 incremental
+'
+
+test_expect_success 'blame -L' '
+	test_must_fail $PROG -L file
+'
+
+test_expect_success 'blame -L X,+' '
+	test_must_fail $PROG -L1,+ file
+'
+
+test_expect_success 'blame -L X,-' '
+	test_must_fail $PROG -L1,- file
+'
+
+test_expect_success 'blame -L X (non-numeric X)' '
+	test_must_fail $PROG -LX file
+'
+
+test_expect_success 'blame -L X,Y (non-numeric Y)' '
+	test_must_fail $PROG -L1,Y file
+'
+
+test_expect_success 'blame -L X,+N (non-numeric N)' '
+	test_must_fail $PROG -L1,+N file
+'
+
+test_expect_success 'blame -L X,-N (non-numeric N)' '
 	test_must_fail $PROG -L1,-N file
 '
diff --git a/t/t4211-line-log.sh b/t/t4211-line-log.sh
index 7665d6785c..b01b3ddebb 100755
--- a/t/t4211-line-log.sh
+++ b/t/t4211-line-log.sh
@@ -64,17 +64,34 @@ test_bad_opts "-L 1,1000:b.c" "has only.*lines"
 test_bad_opts "-L :b.c" "argument.*not of the form"
 test_bad_opts "-L :foo:b.c" "no match"
 
-# There is a separate bug when an empty -L range is the first -L encountered,
-# thus to demonstrate this particular bug, the empty -L range must follow a
-# non-empty -L range.
-test_expect_success '-L {empty-range} (any -L)' '
-	n=$(expr $(wc -l <b.c) + 1) &&
-	git log -L1,1:b.c -L$n:b.c
+test_expect_success '-L X (X == nlines)' '
+	n=$(wc -l <b.c) &&
+	git log -L $n:b.c
 '
 
-test_expect_success '-L {empty-range} (first -L)' '
+test_expect_success '-L X (X == nlines + 1)' '
 	n=$(expr $(wc -l <b.c) + 1) &&
-	git log -L$n:b.c
+	test_must_fail git log -L $n:b.c
+'
+
+test_expect_success '-L X (X == nlines + 2)' '
+	n=$(expr $(wc -l <b.c) + 2) &&
+	test_must_fail git log -L $n:b.c
+'
+
+test_expect_success '-L ,Y (Y == nlines)' '
+	n=$(printf "%d" $(wc -l <b.c)) &&
+	git log -L ,$n:b.c
+'
+
+test_expect_success '-L ,Y (Y == nlines + 1)' '
+	n=$(expr $(wc -l <b.c) + 1) &&
+	test_must_fail git log -L ,$n:b.c
+'
+
+test_expect_success '-L ,Y (Y == nlines + 2)' '
+	n=$(expr $(wc -l <b.c) + 2) &&
+	test_must_fail git log -L ,$n:b.c
 '
 
 test_done