Talk:847/845: Difference between revisions

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:: 125/121 and 175/169 are quartertone-sized yet they should be treated as commas by default? I don't see why. And considering them in the 5.7.11.13 subgroup should imply this subgroup is of some significance in the first place, which is yet to be proven. The rastma is described in terms of significant intervals that belong to significant subgroups. It's the plain opposite with what we have here. Given the current state I think it's at best a trivia for the curious and at worst actively unhelpful cuz users are unlikely to be familiar with those intervals. The best way to get to 847/845 is already shown: (7/5)/(13/11)<sup>2</sup>, and no alternatives can be as clear as that. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:51, 7 May 2026 (UTC)

::: The 5.7.11.13 subgroup is interesting mostly because it lacks primes 2 and 3, but also because of its structure. 847/845 is by far the smallest comma of any reasonable complexity, and it's extremely natural to temper it out, which makes it very important in this subgroup. I'm not treating 125/121 and 175/169 like commas, but they're right next to each other and it's relevant that they're separated by 847/845. It's not simpler than (7/5)/(13/11)<sup>2</sup>, but it's still an important result of tempering it out in its subgroup. [[User:Squib|Squib]] ([[User talk:Squib|talk]]) 02:26, 20 May 2026 (UTC)

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	:: 125/121 and 175/169 are quartertone-sized yet they should be treated as commas by default? I don't see why. And considering them in the 5.7.11.13 subgroup should imply this subgroup is of some significance in the first place, which is yet to be proven. The rastma is described in terms of significant intervals that belong to significant subgroups. It's the plain opposite with what we have here. Given the current state I think it's at best a trivia for the curious and at worst actively unhelpful cuz users are unlikely to be familiar with those intervals. The best way to get to 847/845 is already shown: (7/5)/(13/11)<sup>2</sup>, and no alternatives can be as clear as that. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:51, 7 May 2026 (UTC)		:: 125/121 and 175/169 are quartertone-sized yet they should be treated as commas by default? I don't see why. And considering them in the 5.7.11.13 subgroup should imply this subgroup is of some significance in the first place, which is yet to be proven. The rastma is described in terms of significant intervals that belong to significant subgroups. It's the plain opposite with what we have here. Given the current state I think it's at best a trivia for the curious and at worst actively unhelpful cuz users are unlikely to be familiar with those intervals. The best way to get to 847/845 is already shown: (7/5)/(13/11)<sup>2</sup>, and no alternatives can be as clear as that. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:51, 7 May 2026 (UTC)

			::: The 5.7.11.13 subgroup is interesting mostly because it lacks primes 2 and 3, but also because of its structure. 847/845 is by far the smallest comma of any reasonable complexity, and it's extremely natural to temper it out, which makes it very important in this subgroup. I'm not treating 125/121 and 175/169 like commas, but they're right next to each other and it's relevant that they're separated by 847/845. It's not simpler than (7/5)/(13/11)<sup>2</sup>, but it's still an important result of tempering it out in its subgroup. [[User:Squib\|Squib]] ([[User talk:Squib\|talk]]) 02:26, 20 May 2026 (UTC)