Quote:
Originally Posted by berathebrain
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.
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Thank you for sharing. This has been the number one problem with conducting this research in terms of what are the correct ratios and scales. There is a lots of varying info out there, and that's why there seems to be no exact perfect scale (even though there is one). I know it is based off primes and ratios, but haven't fully got down what one is what. I have no acoustic theory under my belt and have been teaching myself all of it recently for this. If you have any information to share more on this, it would be greatly appreciated, especially links and documentation. I myself felt confident with the notion that C=256 and A=432 earlier but finding the specific ratios was well a hard one. I was planning to go to a music professor on campus and discuss musical notation with him to figure it out once and for all. Thanks again!