Emergency services were called at about 6.25pm on Sunday to Magdalene Drive, where the body of a 49-year-old man, who has not been named, was discovered.
Ashleigh Wallace and Patrick Herbert, both aged 26, and Shaun Wallace, 18, were arrested and appeared at Edinburgh Sheriff Court on Tuesday.
All three were charged with murder and made no plea during the private appearance.
The 18-year-old was released on bail while the other two accused were remanded in custody with the case continued for further examination.
They are due to make a second court appearance later this month.
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