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Cracking the Code of Linear B
(antigonejournal.com)
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By the number of different glyphs that you find. Alphabets and abjads typically have 20~30 glyphs, syllabaries around 80~200, and logographic systems have at least a few hundreds.
That's also how we know that the Voynich manuscript is written in an alphabet, even if nobody deciphered it yet.