Genesis, finally, are covering a group's dance music (9)

I believe the answer is:

sarabande

I'm a little stuck... Click here to teach me more about this clue!

'dance music' is the definition.
'sarabande' can be an answer for 'dance' (I've seen this before). I'm unsure of the 'music' bit.

'genesis finally are covering a group's' is the wordplay.
'finally' suggests the final letters.
'covering' means one lot of letters goes inside another.
'group' becomes 'band' (band can mean a group of people).
The final letter of 'genesis' is 's'.
'a'+'band'='aband'
'are' going around 'aband' is 'arabande'.
's'+'arabande'='SARABANDE'

Can you help me to learn more?

(Other definitions for sarabande that I've seen before include "Stately Spanish dance" , "Slow Spanish dance" .)

I've seen this clue in The Times.

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