FloraC
Joined 30 March 2020
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Hey, Flora, remember the computer-generated lists of quartismic EDOs you showed me and Inthar on Inthar's user page? Well, come to find out that the computer missed 44edo on both counts, yet, when I checked it by performing the procedure documented on the [[monzo]] page to test for the quartisma, I got "0" as a result, making 44edo a quartismic temperament. I should point out that judging by the degree of relative error for the 7th harmonic in 44edo, I doubt that 88edo will make the cut. So, I'm thinking we should combine our strategies for finding quartismic temperaments and double-check our findings with the monzo test. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:32, 8 September 2020 (UTC) | Hey, Flora, remember the computer-generated lists of quartismic EDOs you showed me and Inthar on Inthar's user page? Well, come to find out that the computer missed 44edo on both counts, yet, when I checked it by performing the procedure documented on the [[monzo]] page to test for the quartisma, I got "0" as a result, making 44edo a quartismic temperament. I should point out that judging by the degree of relative error for the 7th harmonic in 44edo, I doubt that 88edo will make the cut. So, I'm thinking we should combine our strategies for finding quartismic temperaments and double-check our findings with the monzo test. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:32, 8 September 2020 (UTC) | ||
: The algorithm doesn't miss anything. It's a sequence of edos with ''progressively lower TE error''. 44edo is contorted in the 11-limit, meaning that it's the same as 22, which is outperformed by 24, so it doesn't show up. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 04:39, 9 September 2020 (UTC) | |||
I should also point out that when I tried this same test on 46edo, I got "-1" as a result despite 46edo seeming to have the telltale signs of being a quartismic temperament- Talk about inconsistency. For the record, Inthar and I both thought that 46edo was one of these quartismic temperaments- but we were all wrong. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:20, 8 September 2020 (UTC) | I should also point out that when I tried this same test on 46edo, I got "-1" as a result despite 46edo seeming to have the telltale signs of being a quartismic temperament- Talk about inconsistency. For the record, Inthar and I both thought that 46edo was one of these quartismic temperaments- but we were all wrong. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 21:20, 8 September 2020 (UTC) | ||
: No it's zero. You can also verify that by simply looking at the interval table. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 04:39, 9 September 2020 (UTC) | |||