Talk:847/845: Difference between revisions

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: It's important because tempering out 847/845 equates two of the simplest very small intervals in the 5.7.11.13 subgroup. That alone is enough justification. You are considering one thing (out of many) that can make a description of a comma useful, and taking its absence to mean that the description is useless. Consider the page for [[243/242]]; only two of the many equivalent expressions there don't use any other factors at all (2187/2048/(33/32)<sup>2</sup> is a particularly "bad" example) yet it would be hard to argue that they aren't useful or worth including. [[User:Squib|Squib]] ([[User talk:Squib|talk]]) 22:20, 6 May 2026 (UTC)

: I did some number crunching; turns out that 125/121 and 175/169 are actually the simplest two intervals (by factor count) smaller than 100 cents, and they differ by 847/845. The next two (aside from 847/845 itself) ALSO differ by 847/845.

: I did some number crunching; turns out that 125/121 and 175/169 are actually the simplest two intervals (by factor count) smaller than 100 cents, and they differ by 847/845. The next two (aside from 847/845 itself) ALSO differ by 847/845. [[User:Squib|Squib]] ([[User talk:Squib|talk]]) 00:20, 7 May 2026 (UTC)

Revision as of 00:20, 7 May 2026 view source Squib (talk \| contribs) 363 edits →As (125/121)/(175/169)? Tags: Mobile edit Mobile web edit Advanced mobile edit ← Older edit		Revision as of 00:20, 7 May 2026 view source Squib (talk \| contribs) 363 edits →As (125/121)/(175/169)?: signature Tags: Mobile edit Mobile web edit Advanced mobile edit Newer edit →
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	: It's important because tempering out 847/845 equates two of the simplest very small intervals in the 5.7.11.13 subgroup. That alone is enough justification. You are considering one thing (out of many) that can make a description of a comma useful, and taking its absence to mean that the description is useless. Consider the page for [[243/242]]; only two of the many equivalent expressions there don't use any other factors at all (2187/2048/(33/32)<sup>2</sup> is a particularly "bad" example) yet it would be hard to argue that they aren't useful or worth including. [[User:Squib\|Squib]] ([[User talk:Squib\|talk]]) 22:20, 6 May 2026 (UTC)		: It's important because tempering out 847/845 equates two of the simplest very small intervals in the 5.7.11.13 subgroup. That alone is enough justification. You are considering one thing (out of many) that can make a description of a comma useful, and taking its absence to mean that the description is useless. Consider the page for [[243/242]]; only two of the many equivalent expressions there don't use any other factors at all (2187/2048/(33/32)<sup>2</sup> is a particularly "bad" example) yet it would be hard to argue that they aren't useful or worth including. [[User:Squib\|Squib]] ([[User talk:Squib\|talk]]) 22:20, 6 May 2026 (UTC)

	: I did some number crunching; turns out that 125/121 and 175/169 are actually the simplest two intervals (by factor count) smaller than 100 cents, and they differ by 847/845. The next two (aside from 847/845 itself) ALSO differ by 847/845.		: I did some number crunching; turns out that 125/121 and 175/169 are actually the simplest two intervals (by factor count) smaller than 100 cents, and they differ by 847/845. The next two (aside from 847/845 itself) ALSO differ by 847/845. [[User:Squib\|Squib]] ([[User talk:Squib\|talk]]) 00:20, 7 May 2026 (UTC)