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)

I changed my mind; they're honestly kinda redundant, especially with multiple ratio columns. The existing table on 311edo is quite messy, so this probably should replace it eventually, and the original table should be moved to a subpage. --Overthink (talk) 17:02, 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)

I consider 11/10 and 14/13 the "canonical" submajor and supraminor seconds, but again I don't think we need these specific names in this table. —FloraC (talk) 11:53, 26 January 2026 (UTC)

Comma-sized intervals

The comma-sized intervals are likely to have several important interpretations. The problem is, adding all of them will make the table too wide. What should we do about them?--Overthink (talk) 02:17, 8 February 2026 (UTC)

Comma-sized intervals are mainly important as the differences between close ratios, thus their sizes can be inferred from the non-comma ratios, so many of them don't really need to be added. Still, it would be wrong for these rows to be completely empty. What should be in these rows then? --Overthink (talk) 00:40, 23 February 2026 (UTC)