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Jan 26, 2021 at 23:05 comment added Michael Curtis @Aaron, thanks for those additions. "Senario", that's very helpful.
Jan 26, 2021 at 22:58 comment added Massimo Asteriti Thanks so much for the clarification! I understand now.
Jan 26, 2021 at 21:29 comment added Aaron @MassimoAsteriti Please see the current update, which includes, at Richard's suggestion, discussion of the "Senario", which explains why Zarlino didn't include 9:8.
Jan 26, 2021 at 21:28 comment added Aaron @MichaelCurtis Updated the post. In particular, see the footnote, which links to a paper with some discussion of the controversy.
Jan 26, 2021 at 21:26 history edited Aaron CC BY-SA 4.0
Added info on the "senario"
Jan 26, 2021 at 20:40 comment added Richard It may be helpful to include the concept of senario here.
Jan 26, 2021 at 17:10 comment added Massimo Asteriti I understand that Zarlino is talking about the proportions of small integers; I'm still confused about his definition of "rational proportion". What makes 2:1, 3:2, and 4:2 rational proportions, but not 9:8, for instance?
Jan 26, 2021 at 16:54 comment added Michael Curtis It's not part of the OP, but why did Zarlino's contemporaries disagree with him?
Jan 26, 2021 at 16:30 history answered Aaron CC BY-SA 4.0