Talk:126/125
What it means for a superparticular ratio to be the difference between two others
Hello! I am wondering, what does it mean that a particular superparticular comma in a certain limit is the difference between two other superparticular commas in the same limit? Does it mean it has to be the mathematical quotient of two strictly larger commas than itself, or can one of them be smaller? E.g. 126/125 is the quotient of 81/80 and 225/224, but 225/224 is smaller than 126/125, so we might say this "doesn't count", we might say instead 225/224 is the difference between 81/80 and 126/125. This is natural and not too confusing. I discovered though that 126/125 is the quotient of 36/35 and 50/49, both of which are larger, so the previous information was nonetheless incorrect.