14348edo: Difference between revisions
Improve intro and +prime error table |
41- and higher-limit notability |
||
| Line 2: | Line 2: | ||
{{EDO intro|14348}} | {{EDO intro|14348}} | ||
14348edo is a strong 17-limit system, with a lower 17-limit [[relative error]] than any smaller edo aside from [[7033edo|7033]]. It is also distinctly [[consistent]] in the 29-odd-limit, and has a lower 23-limit relative error than any lower | 14348edo is a strong 17-limit system, with a lower 17-limit [[relative error]] than any smaller edo aside from [[7033edo|7033]]. It is also distinctly [[consistent]] in the 29-odd-limit, and has a lower 23-limit [[relative error]] than any lower equal temperaments aside from [[2460edo|2460]], [[8269edo|8269]], [[8539edo|8539]] and [[11664edo|11664]]. Besides all that, it is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, integral and gap edo]], which has to do with its higher limit capability – it has lower relative errors than any smaller equal temperaments in the 41-limit and way beyond. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|14348}} | {{Harmonics in equal|14348|columns=15}} | ||
=== Subsets and supersets === | |||
It factors as 2<sup>2</sup> × 17 × 211, so [[17edo|17]], [[34edo|34]], [[68edo|68]] and [[422edo|422]] are all divisors. | |||