99edo: Difference between revisions

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Being a [[zeta peak edo]], 99edo is also a very strong no-11 no-13 system, where it is consistent to the [[29-odd-limit]] with a sharp tendency. This favors the sharp mapping of 11 and 13, and allows these relatively weak approximations to somewhat blend with the rest for a full [[29-limit]] (or [[31-limit]], using the sharp-tending 99efk val) temperament. In fact, the 99efk val is the first to achieve [[diamond monotone]] in the [[31-odd-limit]], though it fails in the [[33-odd-limit]] due to mapping [[33/32]] to 5 steps, while [[32/31]] is mapped to 4 steps.

One step of 99edo is close to [[144/143]], the grossma. Unfortunately, neither 99ef nor the patent val map it consistently, though [[198edo]] does.

=== Prime harmonics ===

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* [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone, and grosstone

[[Category:~~Hemifamity~~]]

[[Category:Aberschismic]]

[[Category:Hemififths]]

[[Category:Hendecatonic]]

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 Being a [[zeta peak edo]], 99edo is also a very strong no-11 no-13 system, where it is consistent to the [[29-odd-limit]] with a sharp tendency. This favors the sharp mapping of 11 and 13, and allows these relatively weak approximations to somewhat blend with the rest for a full [[29-limit]] (or [[31-limit]], using the sharp-tending 99efk val) temperament. In fact, the 99efk val is the first to achieve [[diamond monotone]] in the [[31-odd-limit]], though it fails in the [[33-odd-limit]] due to mapping [[33/32]] to 5 steps, while [[32/31]] is mapped to 4 steps.
+One step of 99edo is close to [[144/143]], the grossma. Unfortunately, neither 99ef nor the patent val map it consistently, though [[198edo]] does.
 === Prime harmonics ===
@@ Line 457: / Line 459: @@
 * [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone, and grosstone
-[[Category:Hemifamity]]
+[[Category:Aberschismic]]
 [[Category:Hemififths]]
 [[Category:Hendecatonic]]