MySQL - Peak visit counts by datetime period

Example data:

+------+---------------------+---------------------+
| id   | date-time-1         | date-time-2         |
+------+---------------------+---------------------+
| 1059 | 2016-07-04 19:13:00 | 2016-07-04 19:20:05 |
| 1060 | 2016-07-04 19:13:30 | 2016-07-04 19:14:25 |
| 1061 | 2016-07-04 19:14:39 | 2016-07-04 19:20:05 |
| 1062 | 2016-07-05 02:34:40 | 2016-07-05 02:45:23 |
| 1063 | 2016-07-05 02:34:49 | 2016-07-05 02:45:34 |
+------+---------------------+---------------------+

Expected result:

+-------------------------------------------+-------+
| date-time-1         | date-time-2         | count |
+-------------------------------------------+-------+
| 2016-07-04 19:13:00 | 2016-07-04 19:13:29 | 1     |
| 2016-07-04 19:13:30 | 2016-07-04 19:14:25 | 2     |
| 2016-07-04 19:14:26 | 2016-07-04 19:14:38 | 1     |
| 2016-07-04 19:14:39 | 2016-07-04 19:20:05 | 2     |
| 2016-07-04 19:20:06 | 2016-07-05 02:34:39 | 0     |
| 2016-07-05 02:34:40 | 2016-07-05 02:34:48 | 1     |
| 2016-07-05 02:34:49 | 2016-07-05 02:45:23 | 2     |
| 2016-07-05 02:45:24 | 2016-07-05 02:45:34 | 1     |
+------+------------------------------------+-------+

Your query result:

dtstart dtend   count(*)
July, 04 2016 19:13:00  2016-07-04 19:13:29 1
July, 04 2016 19:13:30  2016-07-04 19:14:24 2
July, 04 2016 19:14:25  2016-07-04 19:14:38 1
July, 04 2016 19:14:39  2016-07-04 19:20:04 2
July, 04 2016 19:20:05  2016-07-05 02:34:39 1
July, 05 2016 02:34:40  2016-07-05 02:34:48 1
July, 05 2016 02:34:49  2016-07-05 02:45:22 2
July, 05 2016 02:45:23  2016-07-05 02:45:34 1