No version of scratch project needs to be download because they can run in the online player. However every version of the actual scratch program needs to be downloaded.
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Are you sure no converters work for 1.3? I thought there'd be something by now... (even though 1.3 was only released a few months ago )
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There is one way. Everything is here http://scratch.mit.edu/forums/viewtopic.php?id=10122
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