Talk:513/512
Boethius temperament
Boethius temperament is mentioned several times in the wiki, but whoever did so has never got round to creating an actual page defining it, who Boethius is, why the comma is named after them, the generator(s), other commas of n-limit extensions, characteristic chords of the temperament, etc. Might be a good idea to do that. --Yourmusic Productions (talk) 16:47, 11 April 2021 (UTC)
I can make an educated guess as to their intentions from the scraps of math, but I can't be certain. My best guess is that talking about the 2.3.19 subgroup means tempering the perfect 5th very mildly to clearly define minor & major thirds as 19/16 and 24/19 (which is already a viable interpretation in 12edo, if overshadowed by the familiar 5-limit ones.) That would mean 2/7 boethian comma or a 5th of 700.989 cents would result in the lowest error for those two intervals. Aiming for 7 generators = a chromatic semitone of 19/18 is also a possibility. Anyone have any other interpretations? --Yourmusic Productions (talk) 05:41, 12 April 2021 (UTC)