I would appreciate advice on compatibility between tiger male 2 nov 1986 and female 6 nov 1978.

Steven,
Tiger and Horse is the best astrological match ever. She being born in a year which had Earth element, stands to benefit from the Fire of your yearly element, and this is another good astrological feature. You have both Sun in Scorpio, so your similar way of thinking will get you through any obstacle which may crop up. Until 2022 transiting Jupiter will increase your luck, so you will be able to lend her a helping hand when transiting Jupiter will reach the bottom in 2020, regarding her luck. You had your opposite year last year, and she will have her opposite year in 2020. This togetherness will end in marriage, and will last forever, with one word of caution. This is not the traditional marriage, where the man is in charge. It is the other way around. It should be fine, since you both will be happy, and she will adore you. Good luck to both of you.