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berathebrain · 11-18-2008, 11:59 AM

Hi Arturo. I was reading that table of yours with frequencies and I have some questions. The ratios of solfegios frequencies are not correct, they are close to the original but not quite there. How did you get those ratios of musical scale?
I mean C# being 15/16 ratio to the original C. I know that 16/15*256=273.067 but where did you get that 16/15? The ratios of C# and A are not of Just Intonation but other ratios are. In Just Intonation C# is 135/128*256=270 and A is 27/16*256=432! And about that 0.9999999999999999999 thing, it's really simple to explain and prove that it is equal to one. See it this way, 1/3=0.333333333333333... 2/3=0.666666666...
1/3+2/3=3/3=1 and also 0.333333...+0.666666...=0.999999... which is equal to one. You have intrigued me with your work so I am starting to research myself.
Thanks for all your work.

11-18-2008, 11:59 AM	#110
berathebrain Avalon Senior Member Join Date: Nov 2008 Posts: 13	Re: Cracking the Code Hi Arturo. I was reading that table of yours with frequencies and I have some questions. The ratios of solfegios frequencies are not correct, they are close to the original but not quite there. How did you get those ratios of musical scale? I mean C# being 15/16 ratio to the original C. I know that 16/15256=273.067 but where did you get that 16/15? The ratios of C# and A are not of Just Intonation but other ratios are. In Just Intonation C# is 135/128256=270 and A is 27/16*256=432! And about that 0.9999999999999999999 thing, it's really simple to explain and prove that it is equal to one. See it this way, 1/3=0.333333333333333... 2/3=0.666666666... 1/3+2/3=3/3=1 and also 0.333333...+0.666666...=0.999999... which is equal to one. You have intrigued me with your work so I am starting to research myself. Thanks for all your work.