Talk:4edo

From Xenharmonic Wiki
Jump to navigation Jump to search

4edo is the first edo that's a zeta peak, but not a zeta integer peak. Is the actual peak nearby which improves on 3edo achieved by stretching or compressing the octave, and by how much? I'd like to add something on that into the main page, but need to know which direction is more optimal first. --Yourmusic Productions (talk) 12:43, 9 November 2021 (UTC)

See The Riemann zeta function and tuning #Optimal Octave Stretch. The 4 equal temperament is optimal around 3.90, which implies positive stretch. FloraC (talk) 14:33, 9 November 2021 (UTC)
Shoulda thought to look just a bit further down the page. Thank you very much. --Yourmusic Productions (talk) 15:52, 9 November 2021 (UTC)