Talk:Consistency: Difference between revisions

Revision as of 06:54, 30 April 2023 view source Dummy index (talk \| contribs) autopatrolled, emailconfirmed 563 edits →q-odd-limit harmonics? prime harmonics? ← Older edit		Revision as of 08:45, 30 April 2023 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 18,368 edits →q-odd-limit harmonics? prime harmonics?: re Newer edit →
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	:: Hence, I think 18b doesn't map 3/1 as closest approximation. Difference between 3/1 and 1/1 doesn't give closest approximation of 3/1. Wouldn't the premise of the discussion be different? --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 06:52, 30 April 2023 (UTC)		:: Hence, I think 18b doesn't map 3/1 as closest approximation. Difference between 3/1 and 1/1 doesn't give closest approximation of 3/1. Wouldn't the premise of the discussion be different? --[[User:Dummy index\|Dummy index]] ([[User talk:Dummy index\|talk]]) 06:52, 30 April 2023 (UTC)

			::: All edos are consistent in the 3-odd-limit since there's only 1, 3/2 and 4/3 to consider. 1 is by definition pure and closest. Take the closest 3/2 and that guarantees its octave complement 4/3 is closest too. The consistency is enabled by the patent val and not any other vals, so you're right that 18b is "inconsistent" tho consistency is defined for equal tunings rather than equal temperaments. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:45, 30 April 2023 (UTC)