13-limit & overcomplex ratios

Imo the 13-limit should be in the main column of the interval table. It's not less accurate than the 11-limit at all and practically no competing extensions exist there. The 17-limit on the other hand is less accurate, so I gave it an extra column. Also I believe those two- or three-digit ratios should not be there when much simpler ones exist (superparticular commas & their inverses such as 160/81 should be exempt). For the classes where the simplest ratio is complex it may be reasonable e.g. for 50/27 it may be good to have 81/44 and 90/49 for reference. But why would one think of 55/48 or 63/55 when it's clearly 8/7? Those numbers are just noises that dilute the actually important information. FloraC (talk) 10:22, 15 June 2025 (UTC)

55/48 and 63/55 are in Mothra as well, and the decision to make the cutoff at 11-limit vs 13-limit was somewhat of a close call; primarily 17-limit rodan doesn't really do much more damage on top of 13-limit either, so it feels weird for specifically 17-limit to get its own column but 13-limit to not. I don't think most of the ratios I kept are useless enough to be "noise", I think it's better to have complete odd limits in interval chains and it makes sense to consider at least 63-odd given the structure of slendric. -- Lériendil (talk) 13:10, 15 June 2025 (UTC)
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