Chris, the fibs are just a more accurate version of eigths anyway.
golden ratio of .618 is a fib number divided into the previous fib number in the sequence and 1.618 is dividing into the next in the series. 0.382 is derived from dividing a fib number into the fib number 2 earlier in the series.
however when using low fib numbers the error is large but gets smaller the higher the fib numbers you use.
eg 8 is a fib number and 5 is the previous number. 5/8 = .625....which is a biggish error from .618
but use 610 and divide into the previous fib 377 and you get 0.618033....very small error.
still for most chart applications calling .618 as 5/8 is probably close enough for rock and roll. But as you rightly point out when applying it to 3141 days the diff between 5/8 and .618 becomes large.....44 days to be precise.
What was Martin thinking ??
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