diff --git a/internal/magic/archive.go b/internal/magic/archive.go
index fec11f08..554ac4d4 100644
--- a/internal/magic/archive.go
+++ b/internal/magic/archive.go
@@ -3,6 +3,7 @@ package magic
 import (
 	"bytes"
 	"encoding/binary"
+	"strconv"
 )
 
 var (
@@ -74,51 +75,87 @@ func CRX(raw []byte, limit uint32) bool {
 }
 
 // Tar matches a (t)ape (ar)chive file.
+// Tar files are divided into 512 bytes records. First record contains a 257
+// bytes header padded with NUL.
 func Tar(raw []byte, _ uint32) bool {
-	// The "magic" header field for files in in UStar (POSIX IEEE P1003.1) archives
-	// has the prefix "ustar". The values of the remaining bytes in this field vary
-	// by archiver implementation.
-	if len(raw) >= 512 && bytes.HasPrefix(raw[257:], []byte{0x75, 0x73, 0x74, 0x61, 0x72}) {
-		return true
+	const sizeRecord = 512
+
+	// The structure of a tar header:
+	// type TarHeader struct {
+	// 	Name     [100]byte
+	// 	Mode     [8]byte
+	// 	Uid      [8]byte
+	// 	Gid      [8]byte
+	// 	Size     [12]byte
+	// 	Mtime    [12]byte
+	// 	Chksum   [8]byte
+	// 	Linkflag byte
+	// 	Linkname [100]byte
+	// 	Magic    [8]byte
+	// 	Uname    [32]byte
+	// 	Gname    [32]byte
+	// 	Devmajor [8]byte
+	// 	Devminor [8]byte
+	// }
+
+	if len(raw) < sizeRecord {
+		return false
 	}
+	raw = raw[:sizeRecord]
 
-	if len(raw) < 256 {
+	// First 100 bytes of the header represent the file name.
+	// Check if file looks like Gentoo GLEP binary package.
+	if bytes.Contains(raw[:100], []byte("/gpkg-1\x00")) {
 		return false
 	}
 
-	// The older v7 format has no "magic" field, and therefore must be identified
-	// with heuristics based on legal ranges of values for other header fields:
-	// https://www.nationalarchives.gov.uk/PRONOM/Format/proFormatSearch.aspx?status=detailReport&id=385&strPageToDisplay=signatures
-	rules := []struct {
-		min, max uint8
-		i        int
-	}{
-		{0x21, 0xEF, 0},
-		{0x30, 0x37, 105},
-		{0x20, 0x37, 106},
-		{0x00, 0x00, 107},
-		{0x30, 0x37, 113},
-		{0x20, 0x37, 114},
-		{0x00, 0x00, 115},
-		{0x30, 0x37, 121},
-		{0x20, 0x37, 122},
-		{0x00, 0x00, 123},
-		{0x30, 0x37, 134},
-		{0x30, 0x37, 146},
-		{0x30, 0x37, 153},
-		{0x00, 0x37, 154},
+	// Get the checksum recorded into the file.
+	recsum, err := tarParseOctal(raw[148:156])
+	if err != nil {
+		return false
 	}
-	for _, r := range rules {
-		if raw[r.i] < r.min || raw[r.i] > r.max {
-			return false
-		}
+	sum1, sum2 := tarChksum(raw)
+	return recsum == sum1 || recsum == sum2
+}
+
+// tarParseOctal converts octal string to decimal int.
+func tarParseOctal(b []byte) (int64, error) {
+	// Because unused fields are filled with NULs, we need to skip leading NULs.
+	// Fields may also be padded with spaces or NULs.
+	// So we remove leading and trailing NULs and spaces to be sure.
+	b = bytes.Trim(b, " \x00")
+
+	if len(b) == 0 {
+		return 0, nil
+	}
+	x, err := strconv.ParseUint(tarParseString(b), 8, 64)
+	if err != nil {
+		return 0, err
 	}
+	return int64(x), nil
+}
 
-	for _, i := range []uint8{135, 147, 155} {
-		if raw[i] != 0x00 && raw[i] != 0x20 {
-			return false
-		}
+// tarParseString converts a NUL ended bytes slice to a string.
+func tarParseString(b []byte) string {
+	if i := bytes.IndexByte(b, 0); i >= 0 {
+		return string(b[:i])
 	}
+	return string(b)
+}
 
-	return true
+// tarChksum computes the checksum for the header block b.
+// The actual checksum is written to same b block after it has been calculated.
+// Before calculation the bytes from b reserved for checksum have placeholder
+// value of ASCII space 0x20.
+// POSIX specifies a sum of the unsigned byte values, but the Sun tar used
+// signed byte values. We compute and return both.
+func tarChksum(b []byte) (unsigned, signed int64) {
+	for i, c := range b {
+		if 148 <= i && i < 156 {
+			c = ' ' // Treat the checksum field itself as all spaces.
+		}
+		unsigned += int64(c)
+		signed += int64(int8(c))
+	}
+	return unsigned, signed
 }
diff --git a/internal/magic/archive_test.go b/internal/magic/archive_test.go
new file mode 100644
index 00000000..12c95050
--- /dev/null
+++ b/internal/magic/archive_test.go
@@ -0,0 +1,39 @@
+package magic
+
+import "testing"
+
+func TestTarParseOctal(t *testing.T) {
+	tests := []struct {
+		in   string
+		want int64
+		ok   bool
+	}{
+		{"0000000\x00", 0, true},
+		{" \x0000000\x00", 0, true},
+		{" \x0000003\x00", 3, true},
+		{"00000000227\x00", 0227, true},
+		{"032033\x00 ", 032033, true},
+		{"320330\x00 ", 0320330, true},
+		{"0000660\x00 ", 0660, true},
+		{"\x00 0000660\x00 ", 0660, true},
+		{"0123456789abcdef", 0, false},
+		{"0123456789\x00abcdef", 0, false},
+		{"01234567\x0089abcdef", 342391, true},
+		{"0123\x7e\x5f\x264123", 0, false},
+	}
+
+	for _, tt := range tests {
+		got, err := tarParseOctal([]byte(tt.in))
+		ok := err == nil
+		if ok != tt.ok {
+			if tt.ok {
+				t.Errorf("parseOctal(%q): got parsing failure, want success", tt.in)
+			} else {
+				t.Errorf("parseOctal(%q): got parsing success, want failure", tt.in)
+			}
+		}
+		if got != tt.want {
+			t.Errorf("parseOctal(%q): got %d, want %d", tt.in, got, tt.want)
+		}
+	}
+}
diff --git a/mimetype_test.go b/mimetype_test.go
index 742e14c1..13e9caed 100644
--- a/mimetype_test.go
+++ b/mimetype_test.go
@@ -189,9 +189,10 @@ var files = map[string]string{
 	"tar.oldgnu.tar": "application/x-tar",
 	"tar.posix.tar":  "application/x-tar",
 	// tar.star.tar was generated with star 1.6.
-	"tar.star.tar":  "application/x-tar",
-	"tar.ustar.tar": "application/x-tar",
-	"tar.v7.tar":    "application/x-tar",
+	"tar.star.tar":     "application/x-tar",
+	"tar.ustar.tar":    "application/x-tar",
+	"tar.v7.tar":       "application/x-tar",
+	"tar.issue464.tar": "application/x-tar",
 	// tar.v7-gnu.tar is a v7 tar archive generated with GNU tar 1.29.
 	"tar.v7-gnu.tar":  "application/x-tar",
 	"tcl.tcl":         "text/x-tcl",
diff --git a/testdata/tar.issue464.tar b/testdata/tar.issue464.tar
new file mode 100644
index 00000000..6fc9f433
Binary files /dev/null and b/testdata/tar.issue464.tar differ