CFSchedule dying at midnight

Conundrum - on both my CF 2016 Devlt and Production Servers a SERVER LEVEL CFSchedule Task that I have programatically created intermittently "dies" at midnight.  I have it scheduled to run every 60 seconds, but sometimes it seems to run at 11.59.something and then the CFSchedule "Next Run" date/time is set to a date/time far into the future.  For example, this is what the Scheduled Tasks Server Setting is now showing:

Interval 1min 0sec

Last Run: 8/28/2017 11:59:22PM

Next Run: 8/29/2017 6.38.22PM (??????????????????)

Repeat: -1

Remaining Count: Infinite

Cluster: NO

Here is the Code to boot off the CFSchedule Task:

<cfschedule action = "update"

task = "myTaskNameHere"

interval = "60"

url = "http:/xxx.com.au/sendMessages.cfm"

onMisfire = "FIRENOW"

onException = "REFIRE">

I am stumped.