Planets and their deities 
Sun                  Rudra
Moon                Gauri
Mars                 Kartikay
Mercury             Lord Narayana
Jupiter              Dakshinamurti
Venus               MahaLaxmi
Saturn               Lord Hanuman 
Rahu                 Lord Kaal Bharava
Ketu                 Kartikay
Days of the week and deities
Sunday (Ravivar):                  Ravi (means Surya, the Sun deity)
Monday (Somvar):                 Shiva (Som means the Moon)
Tuesday:                             Parvati / Lakshmi
Wednesday:                         Pandurang
Thursday:                             Datta
Friday:                                 Parvati / Lakshmi
Saturday:                             Maruti
The dates (tithis) and their respective presiding deities
1. Pratipada (1st )                                 Agnidev (The deity of fire)
2. Dvitiya (2nd)                                    Brahma (The deity of origin) 
3. Trutiya (3rd)                                     Gouri
4. Chaturthi                                         Ganesh
5. Panchami                                         Sarpa (The serpent)
6. Shashthi (6th)                                   Kartikswami
7. Saptami (7th)                                    Surya (Sun)
8. Ashtami (8th)                                   Bhairav (Shiva)
9. Navami (9th)                                    Durga
10. Dashami (10th)                               Antak [Yamaraj (The deity of
                                                                                       death)]            
11. Ekadashi (11th)                              Vishvedev
12. Dvadashi (12th)                             Hari (Vishnu)\
13. Trayodashi (13th)                           Kamadev
14. Chaturdashi (14th)                         Pitar (ancestors) 
15. Pournima (full moon day)               Chandra (Moon)
15. Amavasya (new moon day)             Pitar (ancestors) 
If instead of the presiding deity of that date (tithi) one worships the presiding deity of another date then the benefit obtained is less, for instance if instead of Agnidev (the deity of fire) one worships other deities on the first day (pratipada) of the Hindu lunar calendar then the percentage of the benefit obtained is as follows.
The deity                                            Proportion of the benefit obtained %
1. Agnidev (The deity of fire)                                    100
2. Brahma (The deity of origin)                                   40
3. Gouri                                                                   70
4. Ganesh                                                                40
5. Sarpa (The serpent)                                              70
6. Kartikswami                                                         40
7. Surya (Sun)                                                          70
8. Bhairav (Shiva)                                                    40
9. Durga                                                                  70
10. Antak [Yamaraj (The deity of death)]                    40
11. Vishvedev                                                          70
12. Hari (Vishnu)                                                     40
13. Kamadev                                                           70
14. Pitar (ancestors)                                                40
15. Chandra (Moon)                                                 70
16. Pitar (ancestors)                                                40