in reply to Re^5: Compare two dates - what's Renard Series?
in thread Compare two dates

Is there theory for that?

Isn't it as simple as prime factors of the base (with the additional 1, of course)?

Edit: not necessarily prime, d'oh!

  • Comment on Re^6: Compare two dates - what's Renard Series?

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Re^7: Compare two dates - what's Renard Series?
by bliako (Abbot) on Jul 25, 2019 at 13:04 UTC

    Just 1/0.1/0.01 is enough! But I want "fewest denominations" or "fewest notes per denomination" or "fewest actual notes" (notes=valid money denominations includes coins)

[reply]

      As above, isn't that what the factors give? The factors of base 10 are 2 and 5, adding in the 1 gives you the normal coinage/notage sequence. This is the fewest denominations which gives on average the fewest notes/coins per sum.

      If we used hexadecimal money, the factors would be 2, 4 and 8. Adding in the 1 again makes the fewest denominations which gives on average the fewest notes/coins per sum.

      Now that I think about it, this would be different for a prime base, of course. So, you're right - it is more complicated. Although any society using a prime base for currency deserves everything they get.

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