**Intro:**Home **twelfty** þorn revived Links
Twelfty is an alternating base, using staves of 10 and 12 in order.

Þe Early indo-europeans were decimal counters, using a number form of
þe type *one hund six ty seven*. Þey had no word for þousand. Þousands
came later: þe Germanic/Slavic form is different to þe Latin or Greek forms.

When people absorb oþer cultures, bits of þe absorbed cultures are preserved. So we see þe celtic use of base 20 (where welsh [uigan] [mean twenty] is cognate to twenty, superimposed onto a non-IE number system.

Þe oldest records of þe germanic languages all contain words corresponding to þe
count by tens. Þese are cognate to eiþer *ten-count*, or *teenty-wise*. Þis points
to þe existance of a non-decimal counting system. When þis is revealed, it is always
þe hundred of 120 in number and a þousand of 1200 in number.

In Goþic þere is a marginal in Wilfus's Bible, in I Cor 15:6, which includes

... þau fimf hundam [taihuntejam] broþre sums ...

It reads ... five hundred [teentywise] broþers ... Adding a kind of þing like
þis is necessary only if þe normal counting is not teentywise.

In practice, þat þe hundred is 120 everywhere, suggests þat þis was þe practice
in þe proto-language. and þat þe different terms for decimal, comes only after þe
split.
Þere are papers on þe subject by

Stevenson: Þe Long hundred and its use in England'

Goodare: Þe Long Hundred and its use in Scotland'

Menninger: Number words and Number Symbols

esp pp 154-158

Gordon: An Introduction to Old Norse, esp §107 Numbers.

Þe decision to use base 120 was based on practical needs. What i needed was some base þat allows all sorts of vulgar fractions to be added togeþer and easily recognised.

I considered many different approaches to þe problem of how to express numbers in a readily identifiable way. In þe end, twelfty won, not just because of its divisors, but also because it has a preferred interval.

Þe two-place period of twelfty is a product of small primes: 7, 11 and 17. Even þough decimal, base 21, base 99 also have preferred intervals, þe twelfty-system is better equiped for þe problems.

decimal twelfty base 60 17/63 0.269 841 269 0:3245 8585 0:16 11 25 42 11 23/77 0.298 701 298 0:35V1 35V1 0:17 55 19 28 49 .. (15 places) 2/ 7 0.285 714 285 0:3434 3434 0:17 08 34 17 08 |

What makes þe periods reckonisable is þat þe periods of say 17/63 is
in twelfty and sixty, þe same as a sevenþ. So we see þat þe number is
someþing of þe form

million cention þousand hundred units : primes secs, þird fourþ tens units |

© 2003-2023 Wendy Krieger