Harriot, Thomas, Mss. 6786

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681
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[Commentary:
Here Harriot appears to be devising new words for a counting system in base eight, with systematic endings for each new power of eight (1, 8, 64, 512, ...). In the first paragraph the basic numerals, listed in the first column, are: en, ben, tren, quen, quin, sinus, spinus. The second column lists multiples of eight: ogen, begen, trigen, quagon, quigen, sigen, spigen. The third column lists multiples of sixty-four: otem, betom, tritem, quatem, quitem, sitem, spitem. Finally, the fourth column lists multiples of 512: otille, betillia, tritillia, quatillia, quitillia, sitillia,
In the second paragraph, Harriot again does something similar but now arranging the columns from right to left. Here he uses the letters of the alphabet as his prefixes, instead of the latin-based 'bi', 'tri', 'qua', 'qui', etc. Thus the right hand column lists the basic numerals: hon, an, ban, can, dan, en, fen, gen. The second column from the right lists multiples of eight: hoben, aben, baben, caben, daben, eben. feben. geben. The third column lists multiples of sixty-four: hocen, acen, bacen, cacen, dacen, ecen, fecen, gecen. And so on. The annotation 0, a0, a00, a000, a0000 across the top indicates the relative size of the numbers in each column. ]
[col 1]: en, ben, tren, quen, quin, sinus, spinus.
[col 2]: ogen, begen, trigen, quagon, quigen, sigen, spigen.
[col 3]: otem, betom, tritem, quatem, quitem, sitem, spitem.
[col 4]: otille, betillia, tritillia, quatillia, quitillia, sitillia, spitillia.
[col 1]: hon, an, ban, can, dan, en, fen, gen.
[col 2]: hoben, aben, baben, caben, daben, eben. feben. geben.
[col 3]: hocen, acen, bacen, cacen, dacen, ecen, fecen, gecen.
[col 4]: homil, amill, bumulli.
[col 5]: hobemil, abemil, cabemil [should be 'babemil']
[col 6]: holemil, alemil, balemil.

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