Talk:352/351

13/11-kleisma

How can this name be derived that it's called fairly intuitive? Please help me understand! --Xenwolf (talk) 08:26, 28 September 2020 (UTC)

Fact 1: 352/351 = (32/27)/(13/11). This says it is how much 13/11 deviates from a Pythagorean interval, hence "13/11-kleisma".

Fact 2: 352/351 = (1053/1024)/(33/32). This says it is the difference between the tridecimal quartertone and undecimal quartertone, hence "13/11-kleisma".

The reason why it's of significance is that there's a dedicated symbol for 352/351~5120/5103 in sagittal notation, and this is how they call it. FloraC (talk) 08:48, 28 September 2020 (UTC)

Needs to be made clear for future. It should be "11/13-kleisma" as 11 is in the numerator and 13 is in the denominator. FloraC (talk) 09:57, 26 November 2020 (UTC)

Is 352/351~5120/5103 the official notation for tempering out the interval between the both explicitly given intervals? I also read = instead some days ago. Both seem quite intuitive, the equals sign is catchier but also more challenging from the mathematical POV. --Xenwolf (talk) 10:10, 26 November 2020 (UTC)

I like the first form, but I have no idea how I learned it (it doesn't show up in official materials of Sagittal notation). The tilde is more commonly accepted to be used like this: 5120/5103 ~5.758¢, where it means "approximately". FloraC (talk) 11:48, 26 November 2020 (UTC)

I hope the new sagittal notation section adequately addresses the original question. Dave Keenan (talk) 13:20, 9 October 2024 (UTC)