Linear Cypriot Script (ca. 1100-400 BCE) compared with Linear B (ca. 1500-1200 BCE) Click to enlarge:

Linear Cypriot Script

While both Linear b and Cypriot are linear syllabaries, we would be jumping to conclusions to assume that Cypriot was derived from Linear B.  However, the striking similarity between some of the syllabograms, even when they convey entirely different vowel or consonant + vowel meanings, is fascinating, especially considering that the Cypriot script did not come into its own until AFTER Linear B had lapsed into disuse. I would like to make a further observation.  Many linguists frequently claim that there was a lapse of at least 3 centuries between the disappearance of Linear B (ca. 1200 BCE) and the advent of the Greek alphabet (ca 900 BCE or later) when written Greek completely disappeared, but clearly this is not the case. Greek was continuously written in Linear Cypriot from around 1100 BCE (immediately after the demise of Linear B), all the way through to the 4th. century BCE (!), when it was at last replaced by the Greek alphabet. In other words, the Cypriots hung onto Linear Cypriot EVEN when the Attic alphabet had reached its perfection.  It would appear that the conquests of Alexander the Great finally sounded the death knell of Linear Cypriot.