As Fer has correctly pointed out, the sign of the angle Mu (inclination of the equinoctial line on the horizontal)  in my formulas must be taken with the minus sign if the plane is turned toward southeast: I apologize for not having specified in my preceding message. 

I use the following convention: 

if, looking at the plane, the equinoctial line “climbs” going toward right, and therefore the plane is turned toward West, the angle Mu must be taken as positive. 

If, otherwise, the line “climbs” going toward left  (plane turned Eastward) the angle Mu must be taken as negative. 

 

Obviously for  the stained glass sundials it is necessary to not look at the dial from the inside but from the “outside”, with our shoulders turned toward the Sun.

In the 1529 sundial (when we look it  from the inside) the equinoctial line “climbs” going toward right and therefore climbs going toward left if we look at the dial from the outside .

 

Note 

In my precedent message I have said that the method can also be used for sundials with Italic hours (frequent in Italy), Babylonian and temporary hours (for example  ancient plane sundials). 

It is necessary to follow these simple substitutions: 

Hour angle = N*15 deg   with 

N = modern hour (apparent local time) - 12 

N = Italic hour - 18 

N = Babylonian hour - 6 

N = temporary hour - 6  

For example for the Italic hours 15 and 20 we have  the values N1=-3 and N2=+2 

This because on the equinoxes,  the followings relationships are valid: 

 Hit = 6+Happ_time;    Hbab = Hit - 12; etc. 

 

   Best

Gianni Ferrari

 

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