There is a problem with your SQL:
SELECT COUNT(articles.id) AS count
FROM articles
INNER JOIN calendar ON calendar.articleID=articles.id
INNER JOIN users as venue ON venue.id=articles.venueID
WHERE articles.active='1'
AND articles.cityID='1'AND calendar.startTime>='2010-03-22' AND venue.name='DJ's Dugout Bellevue'
AND calendar.startTime<'2010-03-23'