I have asked Jeffrey Werbock the owner of www.mugham.org about the
tunings of Kamancha, he has written so kindly:

There are a number of books on the subject, but in brief, the kamancha
is tuned either in fourths or fifths, so that the first and third
strings make an octave, and the 2nd and 5th strings make an octave.
The 1st and 2nd can be either a 4th or a 5th, and the same for the 3rd
and 4th strings. When the 1st string makes a 5th with the 2nd, the
3rd string makes a fifth with the 4th string, and when the 1st string
makes a 4th with the 2nc string, the 3rd must make a 4th with the 4th
string.

For Dilkesh and Bayati Shiraz, the 1st string makes a 4th with the 2nd
string, and the 3rd string makes a 4th with the 4th string. All other
mughams are played when the 1st string makes a 5th with the 2nd
string, and the 3rd string makes a 5th with the 4th string.
Naturally, when the first two strings and the last two strings make a
5th, then the interval between the 3nd string and the 3rd string must
be a 4th, and when the first two strings make a 4th, and so too the
last two strings make a 4th, then the 2nd and 3rd strings must make a 5th.

Then there are the tunings for Houmayoun, Segah and Zaboul, which are
different. Also, Orta Mahur is different as well. If you want all
the tunings for all the mughams, you should definitely get a book,
published in Azeri, to help you.