User talk:Overthink/Table of 311edo intervals
Superprime
I don't know about you, but I'd label 64/63 as the superprime. As for 1\311, I think we need a better name... --Aura (talk) 23:47, 18 January 2026 (UTC)
Ooh! How about the Keenanisma for 1\311? That's about how big that comma is anyways... --Aura (talk) 23:48, 18 January 2026 (UTC)
- Oh yeah, the keenanisma is quite important, and seperates many important intervals. 64/63 as the superprime makes sense as well, due to 8/7 being a supermajor 2nd and 9/8 being a major 2nd.--Overthink (talk) 00:00, 19 January 2026 (UTC)
- Oh, and 33/32 would be the Ultraprime, and you can derive ultramajor and inframinor from ~33/32 relative to Pythagorean intervals, such as 8192/8019 being the inframinor second and 297/256 being the ultramajor second. There's also the paramajor fourth (11/8), and the paraminor fourth (128/99) and the paramajor fifth (99/64) and the paraminor fifth (16/11). --Aura (talk) 00:32, 19 January 2026 (UTC)
I don't think edosteps should be named, especially not for an edo as large as 311. Marking the diatonic interval categories should be enough. —FloraC (talk) 09:19, 19 January 2026 (UTC)
- I'm still going to keep them on this page for my own reference. If this is ever to be added to the main space, then we could simply delete that column and replace it with the less subjective diatonic interval categories. --Overthink (talk) 06:07, 6 February 2026 (UTC)
11/10 and 14/13
By virtue of 2080/2079 being tempered out, these intervals are reflections of each other over the sqrt(32/27) neutral 2nd, with 11/10 and 14/13 being 5 steps sharp and flat of it respectively. The naming system for 2nds, 3rds, 6ths, and 7ths rely on symmetry between the major and minor variants. How should I name neutral ± 5\311 intervals to avoid heavily prioritizing 11/10 over 14/13, or vice versa? --Overthink (talk) 02:51, 26 January 2026 (UTC)