Very low accuracy temperaments: Difference between revisions
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[[Badness]] (Sintel): 1.83 | [[Badness]] (Sintel): 1.83 | ||
== Yo (2c & 3) | == Yo (2c & 3) == | ||
This temperament family is characterized by the [[color notation|yo 2nd]] [[10/9]] being | This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out. | ||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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== Codex == | == Codex == | ||
{{See also| Bug family }} | {{See also| Bug family }} | ||
Codex was named by [[User:Jerdle|Jerdle]] as an abbreviation of "co-decimal", as it resembles [[decimal]] in many ways, but exchanges the roles of 5's and 7's. While decimal equates [[8/7]] and [[7/6]], as well as [[6/5]] and [[5/4]], this equates [[10/9]] and [[6/5]], as well as [[7/6]] and [[9/7]]. It is an extension of [[bug]] and [[54/49|mujannabic]] in the same way decimal is of [[semaphore]] and [[dicot]]. Its ploidacot is diploid beta-dicot. | Codex was named by [[User:Jerdle|Jerdle]] as an abbreviation of "co-decimal", as it resembles [[decimal]] in many ways, but exchanges the roles of 5's and 7's. While decimal equates [[8/7]] and [[7/6]], as well as [[6/5]] and [[5/4]], this equates [[10/9]] and [[6/5]], as well as [[7/6]] and [[9/7]]. It is an extension of [[bug]] and [[54/49|mujannabic]] in the same way decimal is of [[semaphore]] and [[dicot]]. Its ploidacot is diploid beta-dicot. | ||
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== Oxygen == | == Oxygen == | ||
{{See also| Porcupine family }} Oxygen extends porcupine into the 7-limit by conflating 6/5 with 8/7. While this means it does not represent either of those intervals with any real accuracy, it is still of interest because its comma basis suggests potential utility to construct [[fokker block|Fokker blocks]]. | {{See also| Porcupine family }} | ||
Oxygen extends porcupine into the 7-limit by conflating 6/5 with 8/7. While this means it does not represent either of those intervals with any real accuracy, it is still of interest because its comma basis suggests potential utility to construct [[fokker block|Fokker blocks]]. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* WE: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}} | * [[WE]]: ~2 = 1268.274{{c}}, ~3/2 = 612.921{{c}} | ||
: error map: {{val| +68.274 -20.760 -249.765 }} | : [[error map]]: {{val| +68.274 -20.760 -249.765 }} | ||
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 614.055{{c}} | * [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 614.055{{c}} | ||
: error map: {{val| 0.000 -87.900 -386.314 }} | : error map: {{val| 0.000 -87.900 -386.314 }} | ||
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== Seesaw == | == Seesaw == | ||
{{Main| Seesaw }} | |||
Seesaw tempers out the [[6/5|classic minor third (6/5)]], equating the [[5/1|fifth]] and [[6/1|sixth harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026. | Seesaw tempers out the [[6/5|classic minor third (6/5)]], equating the [[5/1|fifth]] and [[6/1|sixth harmonic]]s. It was named by [[User:Xenllium|Xenllium]] in 2026. | ||
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[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* WE: ~2 = 1155.569{{c}}, ~3/2 = 643.349{{c}} | * [[WE]]: ~2 = 1155.569{{c}}, ~3/2 = 643.349{{c}} | ||
: error map: {{val| -44.431 -103.037 +168.173 }} | : [[error map]]: {{val| -44.431 -103.037 +168.173 }} | ||
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 627.511{{c}} | * [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 627.511{{c}} | ||
: error map: {{val| 0.000 -74.444 +241.197 }} | : error map: {{val| 0.000 -74.444 +241.197 }} | ||