Talk:159edo: Difference between revisions

Of course you would want an interval like 6/5 or 11/7 to be consistent, as these are simple ratios that have their consonance affected by mistuning. However, there should be less significance in getting intervals like 35/32 and 49/32 consistent, as the consonance of intervals like these is not as obvious , even if still plausible. Also, telicity seems an interesting topic, but its importance seems limited. For example, 41edo is not 3-2 telic because 617673396283947/562949953421312 (monzo: [-49 31>) is inconsistent, but who would memorize the size of pythagorean intervals that complex? I hardly care about consistency of pythagorean intervals more complex than 2187/2048, and at most 531441/524288, so telicity seems to be redundant when we have more than even 12 notes. Telicity involves higher-limit intervals being on the 2-3 chain as well, but how much does it matter that it also lines up with the really complex pythagorean interval? There are temperaments like Garibaldi that use a long chain of fifths, but telicity seems far from essential in general. All that being said, 159edo still seems like an interesting system, though its quite complex and I will try systems like 17edo and 19edo first.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 04:34, 27 September 2025 (UTC)