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What is phi in octal? (Base 8)?
I've tried to search for it online, but all I get are pages about computer programming.
Yes, the golden ratio.
It doesn't have to be very far into the digits.
I wrote a phrase of music based on it; but that has been done already. So I want to see what happens when I write a phrase based on 7 digits (corresponding to the 7 notes)
Thank you.
I can convert whole numbers, but I couldn't remember how to covert decimal fractions to a different base.
5 Answers
- Ron WLv 78 years agoFavorite Answer
If you're only interested in the answer, and not the method, see http://www.wolframalpha.com/input/?i=convert+golde...
- Mij UrugLv 48 years ago
First, let's simplify phi to 3 decimal places → 1.618
We need to convert this to base 2 (the link below shows how to convert decimal fractions to binary)
I went to to 12 binary places and got 1.101001000110 base 2
Now you can split the binary numbers in groups of three to figure out the octal representation.
1. 101 001 000 110 base 2 → 1.5106 base 8
Whew. It's been a while since I did THAT! Thanks for the challenge!
- JohnLv 78 years ago
I don't know if you've ever seen it but the exact value of phi = (rt5 + 1)/2 (put that into your calculator and you will get the usual decimal approximation). You could, without too much hassle get rt5 in octal form, and use it in this expression.
Source(s): Retired Maths Teacher - How do you think about the answers? You can sign in to vote the answer.
