There are a couple of things here.
Some general rules and some more things to consider:
1. fieldnames are mandatorily lowercase, not sure why, but they are:
*so, MyDateField is invalid whereas mydatefield is valid*
2. dates are always stored as GMT / always store dates are as GMT!
*therefore, you cannot actually create a meaningful custom date using the
now macro, at least not until the macro provides a second parameter that
reads GMT:yes returning the date in GMT rather than local time*
3. always *view* dates in local time, because why would you care about
the GMT equivalent?
*looking at a date field using plain transclusion, e.g. via {{!!modified}}
only helps insofar as you need to be aware that you're looking at GMT,
otherwise use the ViewWidget to get the date displayed in local time*
4. using the *<<now>>* macro without formatting does *not* yield a valid
tiddler date format
*use a $set or $vars widget first, to get the value
for <<now>> formatted appropriately, first*
5. you cannot use regexp with dates, esp. not when in GMT, because
you're not dealing with strings,
this is more ore less the same issue as 3.
*use or invent proper date handling filters*
So, here's an updated example for you, however, not necessarily solving all
your problems:
<$button>Make Tiddler with mydatefield=<<now "YYYY0MM0DD0hh0mm">>
<$action-sendmessage $message="tm-new-tiddler" title="Tiddler made now"
tags="Test" mydatefield=<<now "YYYY0MM0DD0hh0mm">>/>
</$button>
__Tiddlers with sameday in mydatefield as <<now "YYYY0MM0DD">>__<br>
<$vars rightNow=<<now "YYYY0MM0DD">>>
<$list filter="[tag[Test]sameday:mydatefield<rightNow>]" >
<$link><$view field="title"/></$link><br>
<$view field="modified" format="date" template="YYYY0MM0DD0hh0mm"/><br>
<$view field="mydatefield" format="date" template="YYYY0MM0DD0hh0mm"/><br>
</$list>
</$vars>
__Tiddlers with sameday in mydatefield as 20170106__<br>
<$list filter="[tag[Test]sameday:mydatefield[20170106]]" >
<$link><$view field="title"/></$link><br>
<$view field="modified" format="date" template="YYYY0MM0DD0hh0mm"/><br>
<$view field="mydatefield" format="date" template="YYYY0MM0DD0hh0mm"/><br>
</$list>
__Tiddlers with sameday in mydatefield as 20170107__<br>
<$list filter="[tag[Test]sameday:mydatefield[20170107]]" >
<$link><$view field="title"/></$link><br>
<$view field="modified" format="date" template="YYYY0MM0DD0hh0mm"/><br>
<$view field="mydatefield" format="date" template="YYYY0MM0DD0hh0mm"/><br>
</$list>
Best wishes,
Tobias.
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