User talk:Xenwolf: Difference between revisions

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::: Thanks for having a look into it.

::: You wrote: ''the approximations of the 3-limit, 7-limit and 11-limit in [[159edo]] are superior'' - I guess you mean p-limit intervals here? How do you measure approximation quality (I mean 9/7 is also a 7-limit interval)? I tried this [http://musictheory.zentral.zone/huntsystemcalc.html calculator] but was not satisfied with the idea of averaging. For me it is also still unclear which set of musical intervals can be regarded as sufficiently representative, if such an idea makes sense at all... --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 18:59, 8 October 2020 (UTC)

::::For the record, that whole phrase reads: ''the approximations of the 3-limit, 7-limit and 11-limit in 159edo are superior to those of 205edo in terms of absolute error''. Long story short, I measure the absolute error rates as they accumulate when tempered p-limit intervals are stacked, and the greater the number of such intervals I can stack without the absolute error exceeding an unnoticeable comma's distance of 3.5 cents determines the quality of representation, and thus the portions of the harmonic lattice that can be sufficiently represented by any give EDO. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:44, 8 October 2020 (UTC)

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 ::: Thanks for having a look into it.
 ::: You wrote: ''the approximations of the 3-limit, 7-limit and 11-limit in [[159edo]] are superior'' - I guess you mean p-limit intervals here? How do you measure approximation quality (I mean 9/7 is also a 7-limit interval)? I tried this [http://musictheory.zentral.zone/huntsystemcalc.html calculator] but was not satisfied with the idea of averaging. For me it is also still unclear which set of musical intervals can be regarded as sufficiently representative, if such an idea makes sense at all... --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 18:59, 8 October 2020 (UTC)
+::::For the record, that whole phrase reads: ''the approximations of the 3-limit, 7-limit and 11-limit in 159edo are superior to those of 205edo in terms of absolute error''.  Long story short, I measure the absolute error rates as they accumulate when tempered p-limit intervals are stacked, and the greater the number of such intervals I can stack without the absolute error exceeding an unnoticeable comma's distance of 3.5 cents determines the quality of representation, and thus the portions of the harmonic lattice that can be sufficiently represented by any give EDO. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 19:44, 8 October 2020 (UTC)