Very high accuracy temperaments: Difference between revisions
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Agh Linnaeus isn't a microbiologist choose better name |
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Comma list: {{monzo| 47 4 -19 }} | Comma list: {{monzo| 47 4 -19 }} | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -7 1 | 0 19 4 }} | ||
: mapping generators: ~2, ~16807/12288 | : mapping generators: ~2, ~16807/12288 | ||
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[[Comma list]]: {{monzo| 109 -67 -1 }} | [[Comma list]]: {{monzo| 109 -67 -1 }} | ||
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: mapping generators: ~2, ~3 | : mapping generators: ~2, ~3 | ||
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[[Comma list]]: {{monzo| -32 -64 71 }} | [[Comma list]]: {{monzo| -32 -64 71 }} | ||
{{Mapping|legend= | {{Mapping|legend=3| 1 -36 -32 | 0 71 64 }} | ||
: mapping generators: ~3, ~{{monzo| -4 -9 10 }} | : mapping generators: ~3, ~{{monzo| -4 -9 10 }} | ||
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[[Badness]] (Sintel): 1.62 | [[Badness]] (Sintel): 1.62 | ||
== Microorganic == | |||
[[Subgroup]]: 2.3.7.11 | |||
An insanely accurate [[gary]] or no-5 [[superkleismic]] detemperament. It does not have good strong extensions to the 11-limit and beyond. It splits the septischisma in 3 parts and the pythrabian comma in 5 parts, each of these parts being a tempered [[olympia]]~[[argyria]]. | |||
[[Comma list]]: [[67110351/67108864]] | |||
{{Mapping|legend=1|1 0 7 7|0 1 1 -2| 0 0 3 -5}} | |||
[[Optimal tuning|Optimal tunings]]: | |||
* [[WE]]: ~2 = 1200.001014{{c}}, ~3/2 = 1901.953889{{c}}, ~539/512 = 88.956151{{c}} | |||
: [[error map]]: ⟨+0.001014 -0.000098 -0.001537 -0.001401] | |||
* [[CWE]]: ~2 = 1200.000000 ¢, ~3/2 = 701.953627¢, ~539/512 = 88.955923 ¢ | |||
: error map: ⟨0.000 +0.001374 -0.004512 -0.004808] | |||
{{Optimal ET sequence|legend=1|11, 12e, 26, 41, 94, 135, 566, 701, 836, 877, 1012, 1713, 1848, 4573, 4708, 6556, 11264, 17820}} … | |||
[[Badness]] (Sintel): 0.032 | |||
Notable temperaments not appearing in the optimal ET sequence are {{Edos|15, 217, 311}}. | |||
=== Microbiology === | |||
A weak extension of microorganic adding the [[chalmersia]] and the [[insanisma]], which surfaces as a detemperament of [[vulture]]. | |||
[[Subgroup]]: 2.3.5.7.11.13 | |||
[[Comma list]]: [[67110351/67108864]], [[123201/123200]], [[5767168/5767125]] | |||
{{Mapping|legend=1|1 0 4 -11 27 15|0 2 3 -1 1 -3| 0 0 5 18 -30 11}} | |||
[[Optimal tuning|Optimal tunings]]: | |||
* [[WE]]: ~2 = 1200.000535{{c}}, ~359424/207515 = 950.976364{{c}}, ~2695/1536 = 973.322574{{c}} | |||
: [[error map]]: ⟨+0.000535 −0.002272 +0.004652 −0.001831 −0.004338 +0.002963] | |||
* [[CWE]]: ~2 = 1200.000000 ¢, ~3/2 = 950.975971 ¢, ~539/512 = 973.322136 ¢ | |||
: error map: ⟨0.000000 −0.003059 +0.003520 −0.003432 −0.006047 +0.000931] | |||
{{Optimal ET sequence|legend=1|53, 217, 270, 1551f, 1604, 1821, 1874, 2091, 2144, 2361, 2414, 2631, 2684, 5315, 5585, 8269, 8539, 14124, 16808}} … | |||
Badness (Sintel): 0.349 | |||
== Satwethezo-atritribigu (171 & 1547 & 4973) == | == Satwethezo-atritribigu (171 & 1547 & 4973) == | ||