Talk:Bird's eye view of temperaments by accuracy: Difference between revisions
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Orwell is a temperament that's definitely worth including here. However, should the 7- and 11-limits be included seperately, or should it just be put in the 11-limit section?--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 23:45, 25 October 2025 (UTC) | Orwell is a temperament that's definitely worth including here. However, should the 7- and 11-limits be included seperately, or should it just be put in the 11-limit section?--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 23:45, 25 October 2025 (UTC) | ||
== 2.3.7 Buzzard == | |||
It is placed into medium accuracy because "specifically, its interval of 7 barely violates the 4 ¢ bound". However, I think they only looked at 111edo tuning, and CTE and CWE give errors of 3.992{{c}} and 3.676{{c}} respectively, with [https://sintel.pythonanywhere.com/result?subgroup=2.3.7&reduce=on&weights=weil&target=9%2F7%2C+2%2F1&edos=&commas=65536%2F64827&submit_comma=submit 9-odd-limit minimax] being 3.424{{c}}. 13-limit buzzard ''should'' have 7/4 as a bound-violating interval, as [https://sintel.pythonanywhere.com/result?subgroup=13&reduce=on&weights=weil&target=2%2F1+15%2F14&edos=53%2C+58&submit_edo=submit&commas= 15-odd-limit minimax] is 4.091{{c}}. Still, 11/7 shouldn't be bound-violating, as seen by the [https://sintel.pythonanywhere.com/result?subgroup=13&reduce=on&weights=weil&target=2%2F1+121%2F48&edos=53%2C+58&submit_edo=submit&commas= 121/3 eigenmonzo tuning], which only has 7/4 violate the bound in the 15-odd-limit. In general, temperaments should be classified by the tunings that minimize the number of bound-violating intervals (possibly to zero), not ones supported by EDOs.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 16:24, 26 October 2025 (UTC) | |||
Latest revision as of 16:24, 26 October 2025
Orwell
Orwell is a temperament that's definitely worth including here. However, should the 7- and 11-limits be included seperately, or should it just be put in the 11-limit section?--Overthink (talk) 23:45, 25 October 2025 (UTC)
2.3.7 Buzzard
It is placed into medium accuracy because "specifically, its interval of 7 barely violates the 4 ¢ bound". However, I think they only looked at 111edo tuning, and CTE and CWE give errors of 3.992 ¢ and 3.676 ¢ respectively, with 9-odd-limit minimax being 3.424 ¢. 13-limit buzzard should have 7/4 as a bound-violating interval, as 15-odd-limit minimax is 4.091 ¢. Still, 11/7 shouldn't be bound-violating, as seen by the 121/3 eigenmonzo tuning, which only has 7/4 violate the bound in the 15-odd-limit. In general, temperaments should be classified by the tunings that minimize the number of bound-violating intervals (possibly to zero), not ones supported by EDOs.--Overthink (talk) 16:24, 26 October 2025 (UTC)