User talk:FloraC: Difference between revisions
Replaced content with "{{Archives}} == Higher primes == A while back I made an edit on 181edo, saying it has less than 30% error on most prime harmonics up to 137. You removed this info, giving the edit summary "don't bombard the readers with random prime numbers. 30% unsigned error isn't even special." There is a similar section on the page for 43edo, which goes as follows: <blockquote>Although not consistent, 43edo performs quite well in very high prime limits. It has unamb..." Tag: Replaced |
Re |
||
| Line 2: | Line 2: | ||
== Higher primes == | == Higher primes == | ||
A while back I made an edit on [[181edo]], saying it has less than 30% error on most prime harmonics up to 137. You removed this info, giving the edit summary "don't bombard the readers with random prime numbers. 30% unsigned error isn't even special." There is a similar section on the page for [[43edo]], which goes as follows: | |||
<blockquote>Although not [[consistent]], 43edo performs quite well in very high prime limits. It has unambiguous mappings for all prime harmonics up to ''113'' (after which the demands on its pitch resolution finally become too great), with the sole exceptions of 23, 71, 89, and 103, making a great [[#Ringer 43|Ringer scale]].</blockquote> | <blockquote>Although not [[consistent]], 43edo performs quite well in very high prime limits. It has unambiguous mappings for all prime harmonics up to ''113'' (after which the demands on its pitch resolution finally become too great), with the sole exceptions of 23, 71, 89, and 103, making a great [[#Ringer 43|Ringer scale]].</blockquote> | ||
Here, prime 41 with 37.5% relative error is considered "unambiguous". Four missing primes in the 113-limit isn't really too special with this rather relaxed bound. You may want to do something about this section, though maybe more can be kept as 43edo is smaller than 181.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 22:52, 12 January 2026 (UTC) | Here, prime 41 with 37.5% relative error is considered "unambiguous". Four missing primes in the 113-limit isn't really too special with this rather relaxed bound. You may want to do something about this section, though maybe more can be kept as 43edo is smaller than 181.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 22:52, 12 January 2026 (UTC) | ||
: Originally, this part read: | |||
: <blockquote>Although not consistent, it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to 64 [61], with the sole exceptions of 23 and, perhaps, 41. </blockquote> | |||
: Then some editor was being crazy about it cuz ''four'' exceptions are no ''sole'' exceptions. But I don't think I'm gonna remove that entirely. Rather, I'm moving it to a higher-limit JI subsection of the approximation to JI section to hopefully declutter the theory section. | |||
: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:36, 13 January 2026 (UTC) | |||
Revision as of 10:36, 13 January 2026
Higher primes
A while back I made an edit on 181edo, saying it has less than 30% error on most prime harmonics up to 137. You removed this info, giving the edit summary "don't bombard the readers with random prime numbers. 30% unsigned error isn't even special." There is a similar section on the page for 43edo, which goes as follows:
Although not consistent, 43edo performs quite well in very high prime limits. It has unambiguous mappings for all prime harmonics up to 113 (after which the demands on its pitch resolution finally become too great), with the sole exceptions of 23, 71, 89, and 103, making a great Ringer scale.
Here, prime 41 with 37.5% relative error is considered "unambiguous". Four missing primes in the 113-limit isn't really too special with this rather relaxed bound. You may want to do something about this section, though maybe more can be kept as 43edo is smaller than 181.--Overthink (talk) 22:52, 12 January 2026 (UTC)
- Originally, this part read:
Although not consistent, it performs quite decently in very high limits. It has unambiguous mappings for all prime harmonics up to 64 [61], with the sole exceptions of 23 and, perhaps, 41.
- Then some editor was being crazy about it cuz four exceptions are no sole exceptions. But I don't think I'm gonna remove that entirely. Rather, I'm moving it to a higher-limit JI subsection of the approximation to JI section to hopefully declutter the theory section.