Talk:Minimal consistent EDOs

The limits of indistinct consistency

I note that all the edos here that are 5 digits or above have the same consistency and distinct consistency, as the number of steps to define different intervals increases faster than their ability to all line up in a well-tuned way. This implies that the number of edos that have a consistency greater than their distinct consistency is probably a finite number. Has anyone calculated what that number is and the highest edo that does this? --Yourmusic Productions (talk) 15:31, 13 October 2022 (UTC)

I am not aware of any handy formula to calculate the consistency or distinct consistency of edos. However, after flipping through individual edo pages, I managed to gather 34 edos (<400) which have greater consistency than distinct consistency limits: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388. Despite the lack of mathematical verification, I doubt there are any more such edos. Iywuqety (talk) 17:25, 21 November 2023 (UTC)