99edo: Difference between revisions
m →Regular temperament properties: update |
→Music: Add Bryan Deister's ''99edo improv'' (2026) |
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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. | 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 === | === Prime harmonics === | ||
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{{Main| List of MOS scales in 99edo }} | {{Main| List of MOS scales in 99edo }} | ||
* Baobab{{idio}}: 26 15 17 15 14 12 (approximated from [[30afdo]]) | |||
* [[Tutone6]] | * [[Tutone6]] | ||
* [[Tutone7]] | * [[Tutone7]] | ||
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* [https://www.youtube.com/watch?v=bYK8V07yyq4 ''microtonal improvisation in 99edo''] (2023) | * [https://www.youtube.com/watch?v=bYK8V07yyq4 ''microtonal improvisation in 99edo''] (2023) | ||
* [https://www.youtube.com/shorts/p9OUaFuTUek ''99edo waltz''] (2025) | * [https://www.youtube.com/shorts/p9OUaFuTUek ''99edo waltz''] (2025) | ||
* [https://www.youtube.com/shorts/GNio1PMp9BA ''99edo improv''] (2026) | |||
; [[Mundoworld]] | ; [[Mundoworld]] | ||
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* [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone, and grosstone | * [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone, and grosstone | ||
[[Category: | [[Category:Aberschismic]] | ||
[[Category:Hemififths]] | [[Category:Hemififths]] | ||
[[Category:Hendecatonic]] | [[Category:Hendecatonic]] | ||