NOT the stupid "onetwothreeFOURFIVEsixseveneightNINETEN, ELEVENTWELVE" version everyone under the age of 30 seems to like. Those were the Pointer Sisters. The animation coupled to it takes place in a pinball machine.
The Grace Slick version is the older version, set in a psychedelic world of speeding race cars, jabbering George Washingtons and Abraham Lincolns, African-American and Caucasian hands reaching out of Yellow Submarine-esque elevator doors and shaking hands together, sheep speeding in pimp cars, and a kaleidoscope background. If you're a Gen X'er or older you'll remember it: spies in trench coats open their flaps revealing numbers on their vests at the end. Slick's brother was an animator, who produced the haunting "Letter E" Sesame Street cartoon featuring "the queen on her knee, by the sea, having a dream of eating ice cream... in the land of steam". She also lived down the street from P-Imagination, the Sixties animation boutique run by producer Jeff Hale. P-Imagination produced the jazz numbers clip with the spies and race cars.
Grace is featured in it chanting, "onetwothreefourfiveSIX, seveneightnineTEN", and crooning each number hauntingly as the animation shows how many each number is: i.e., an octopus for eight while she croons "eighhhhhht.... EIGHHHHHT", or an LSD wizard flashing a Seven of Clubs card while she croons "seven" and shouts "SEVEN!"
Most remembered, possibly, may be the jazz numbers cartoon clip for the number five, at the end of which five African-American men in flares and soul attire emerge from the back of an alligator and, although their character design strongly suggests The Beatles in Yellow Submarine, are clearly intended to represent The Jackson Five. Grace enthusiastically, audibly grins, ***"FIVE!!!"*** when they appear. It's the most excited she sounds in the entire jazz numbers series.
See and hear Grace Slick doing it on number 7 here at YouTube:
http://www.youtube.com/watch?v=ILSWgnU-XZ8YES, THAT'S GRACE SLICK.
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