Cryptic crossword No 30,115

1 down. Refrain from eating, with final twist, such unhealthy foods. 4 letters.

2 down. First in school by a long way, is visibly pleased. 6 letters.

3 down. Duke is thoroughly acquainted with good style. 10 letters.

4 down. Parts of records – they’re not supposed to be heard by other players. 6 letters.

5 down. Rely, oddly, on saxophonist as singer. 8 letters.

6 down. In spelling performance, initially omit ‘c’ in ‘mischief’. 4 letters.

7 down. One introduced to maintain, say, disrupted festivals. 8 letters.

8 down. So-called King of jazz, or another one accompanied by string trio. 4 letters.

13 down. After removing head, open up fish. 5 letters.

15 down. Executive supporting firm is major asset. 6 letters and 4 letters.

16 down. Form of transport, i.e. coach. 5 letters.

18 down. Frenzied divas caught up in international court event. 5 letters and 3 letters.

19 down. Bandleader helps Mingus and others. 8 letters.

22 down. Piece to play that’s part of falling sequence, in theory. 6 letters.

23 down. Name of girl making second statement on first birthday. 6 letters.

24 down. Order member out of symposium on knowledge. 4 letters.

25 down. Baton that may be used for musical performances. 4 letters.

27 down. She can be spotted going back and forth in parallel lanes. 4 letters.

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