Have a look at the definition of the Mercator projection:

https://en.wikipedia.org/wiki/Mercator_projection

And now think about why Mercator projections usually stop somewhere between 80 
and 90 °. And what must be the scale of a latitude of true scale getting close 
to 90°. 

Btw. there are more parameters to play with:

ftp://priede.bf.lu.lv/pub/GIS/koordinatas/PROJ.4/proj4_GenParms.txt

Have a look at +k_0

Oliver


Am Sunday 13 December 2015, 14:32:20 schrieb zero:
> Sorry to bother you again about this topic,
> 
> I played a little bit with +lat_ts but I did not find any simple
> explanation about it.
> 
>  From what I experienced with QMS :
> With +lat_ts = 89 highest detail level is available even when zooming
> out quite far but zooming in is quite limited
> With +lat_ts = 60 I am happy
> 
> but I am happy and ignorant (I know that knowledge does not always mean
> happiness, but I would accept a little more knowledge taking the risk to
> be a little less happy :)
> 
> Can you explain a little bit ?
> 
> Thanks a lot
> 
> -------- Message transféré --------
> Sujet :       Re: [Qlandkartegt-users] "Detail level" adjustment for Garmin 
> maps
> Date :        Sat, 12 Dec 2015 07:38:29 +0100
> De :  [email protected]
> Pour :        [email protected]
> 
> 
> 
> Thanks Oliver!
> 
> By adding +lat_ts=xx.x to the projection string (where xx.x is the
> current latitude of the displayed place) + by choosing "square"
> (optimized for TMS and WTMS tiles) I get even more space than with QLGT.
> 
> The only (minor) drawback is that a grid is visible on hillshading but
> this is not a big deal.
> 
> Bye!
> 
> Le 11/12/2015 18:21, OLiver Eichler a écrit :
> > QLGT used latitude of true scale (+lat_ts=) in the projection string.
> > That's
> > why scaling will not match 100%.  You can add the lat_ts parameter to
> > your
> > projection string if you really want to a have a more or less 100%
> > match.
> > However QLGT does this dynamically for the center point of the loaded
> > map. So
> > it's a bit of a running target.
> > 
> > But else the scale to bit relation is the same. You can cross check it
> > yourself. In QLGT
> > 
> > CMapTDB::scale_t CMapTDB::scales[] =
> > 
> > and in QMS
> > 
> > quint8 CMapIMG::scale2bits(const QPointF& scale)
> > 
> > I checked the levels up to 20 bit. They match.
> > 
> > Am Friday 11 December 2015, 16:34:56 schrieb [email protected]: Hello,
> > 
> > in the previous email setting is "log".
> > 
> > In this attached screenshot it is "square" : it is larger but still not
> > as large as QLGT.
> > 
> > Thanks !
> > 
> > Le 11.12.2015 15:37, Oliver Eichler a écrit : what scale mode do you
> > use in View-> Setup Map View ?
> > 
> > Am 11.12.2015 um 14:58 schrieb [email protected]: Hello again,
> > 
> > Same test with QLGT (see attached screenshot) gives the same result :
> > it looks like QMS detail level is set one step below QLGT.
> > 
> > My main concern is that with QMS displayed area is smaller.
> > 
> > (other possibilites are to buy a bigger screen or to print my maps :
> > that is a big advantage of paper maps : highest detail level is
> > available at every zoom level :) )
> > 
> > Bye
> > 
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