97th-octave temperaments: Difference between revisions

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~~Berkelium~~ is a remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings. It is named after the 97th element, as it divides the octave into 97 equal parts.

ŃBerkelium is a remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings. It is named after the 97th element, as it divides the octave into 97 equal parts.

Berkelium comes in two variants, berkelium-247, named after the most stable isotope, is described as the 388 & 3395 temperament, of which [[388edo]] is consistent in the 37-odd-limit and [[3395edo]] is a zeta edo and a strong 19-limit tuning. Another 31-limit variety, named berkelium-~~247~~ is described as a 388 & 2619 temperament, and while [[2619edo]] is not remarkably strong in harmonic approximation, it is consistent in the 33-odd-limit, meaning it is natural for it to be temperament-merged with 388edo, and the end result is a 97th-octave temperament.

Berkelium comes in two variants, berkelium-247, named after the most stable isotope, is described as the 388 & 3395 temperament, of which [[388edo]] is consistent in the 37-odd-limit and [[3395edo]] is a zeta edo and a strong 19-limit tuning. Another 31-limit variety, named berkelium-248 is described as a 388 & 2619 temperament, and while [[2619edo]] is not remarkably strong in harmonic approximation, it is consistent in the 33-odd-limit, meaning it is natural for it to be temperament-merged with 388edo, and the end result is a 97th-octave temperament.

Different branchings of berkelium also map 1 step of 97edo to drastically different intervals, each of which could be used in a [[comma pump]]. Berkelium-247 maps the period in the higher limits to [[144/143]], the grossma.

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-Berkelium is a remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings. It is named after the 97th element, as it divides the octave into 97 equal parts.
+ŃBerkelium is a remarkable high-limit subgroup temperament with equally remarkable full 31-limit branchings. It is named after the 97th element, as it divides the octave into 97 equal parts.
-Berkelium comes in two variants, berkelium-247, named after the most stable isotope, is described as the 388 & 3395 temperament, of which [[388edo]] is consistent in the 37-odd-limit and [[3395edo]] is a zeta edo and a strong 19-limit tuning. Another 31-limit variety, named berkelium-247 is described as a 388 & 2619 temperament, and while [[2619edo]] is not remarkably strong in harmonic approximation, it is consistent in the 33-odd-limit, meaning it is natural for it to be temperament-merged with 388edo, and the end result is a 97th-octave temperament.
+Berkelium comes in two variants, berkelium-247, named after the most stable isotope, is described as the 388 & 3395 temperament, of which [[388edo]] is consistent in the 37-odd-limit and [[3395edo]] is a zeta edo and a strong 19-limit tuning. Another 31-limit variety, named berkelium-248 is described as a 388 & 2619 temperament, and while [[2619edo]] is not remarkably strong in harmonic approximation, it is consistent in the 33-odd-limit, meaning it is natural for it to be temperament-merged with 388edo, and the end result is a 97th-octave temperament.
 Different branchings of berkelium also map 1 step of 97edo to drastically different intervals, each of which could be used in a [[comma pump]]. Berkelium-247 maps the period in the higher limits to [[144/143]], the grossma.