Cryptic crossword

ACROSS 1. Madman in a cult of a sort (7)

5. Eminent conductor could give master nothing (7) 9. Sea-bandit perhaps didn’t drink, didn’t vote (9)

10. To have being, in Essex, is terrific (5)

11. Is as perfectly closed as the crime can be (8) 12. Radiographer’s meal shows the umbra one makes of it (6) 14. Cheese or cream — bet Monsieur produces it (9)

16. A bay at home is rented out (5)

17. The song thrush is coming back from Siam around 3rd November (5)

19. In need of urgent attention, it’s a mercy Gene could make it (9)

21. A central courtyard gives it a rum twist (6)

22. Worried intensely about doing sea trip (8)

26. How hot I’d get in an Indian loincloth! (5)

27. Club that might hate a menu being changed (9)

28. Put one back in by cross method (7)

29. How one writes music on state disruption (7) DOWN 1. Scottish lake holds a river fish (5)

2. Quack cure the MO turns out (7)

3. Go over the lines to find a vestige of something (5)

4. Am I not able to prise up this sort of bridge? (10)

5. It’s the way, with fashion (4)

6. Uplifting gene, vital to be replaced (9)

7. Four in the criminal hearing are of little importance (7) 8. Science of eye-care needed when about to try poem (9)

13. How it then gets RN to fortify it (10)

14. Naval officer and RM come round to it (9)

15. Man is clue maybe to its being male (9)

18. Observe how wordy it could be (7)

20. Coming into being on the north climb (7)

23. Musical composition one is given in the National Theatre (5) 24. Is down in them, blue, and gets rid of them (5)

25. A male deer is all heart, one is told (4)