FWIW, on Mac I can recommend Twitter's own "TweetDeck" which is really quite great, multiple columns, multiple accounts, scheduled tweets, etc. Really hope they don't shut that down in addition to the main Twitter client...
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The last update for TweetDeck Mac on the App Store was 14 July 2015 [1], and they discontinued TweetDeck for iPhone & Android back in 2013 [2]. Twitter seems to have little interest in native desktop apps.
(That said, the TweetDeck web app is not bad, and can be accessed by anyone at tweetdeck.twitter.com.)
[1] https://itunes.apple.com/gb/app/tweetdeck/id485812721?mt=12
[2] https://blog.twitter.com/official/en_us/a/2013/an-update-on-...
TweetDeck was originally a third-party app developed using the API. Twitter keeps grabbing up the good stuff people build on the API and then shutting down any competitors.