Father–3 equivalence continuum: Difference between revisions

m Chromatic -> dicot
Switch to Sintel's badness, WE & CWE tunings
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== 3 & 33c ==
== 3 & 33c ==
This low-accuracy high-complexity temperament corresponds to {{nowrap|''n'' {{=}} 9/4}} and {{nowrap|''m'' {{=}} 9/5}}.  
This low-accuracy high-complexity temperament corresponds to {{nowrap| ''n'' {{=}} 9/4 }} and {{nowrap| ''m'' {{=}} 9/5 }}.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
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{{Mapping|legend=1| 3 2 6 | 0 3 1 }}
{{Mapping|legend=1| 3 2 6 | 0 3 1 }}
: mapping generators: ~125/96, ~5/4
: mapping generators: ~125/96, ~5/4


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~125/96 = 1\3, ~5/4 = 368.2534 (~25/24 = 31.7466)
* [[WE]]: ~125/96 = 401.2633{{c}}, ~5/4 = 367.0585{{c}} (~25/24 = 34.2047{{c}})
* [[CWE]]: ~125/96 = 1\3, ~5/4 = 366.8103 (~25/24 = 33.1897)
: [[error map]]: {{val| +3.790 +1.747 -11.676 }}
* [[CWE]]: ~125/96 = 400.0000{{c}}, ~5/4 = 366.8103{{c}} (~25/24 = 33.1897{{c}})
: error map: {{val| 0.000 -1.524 -19.503 }}


{{Optimal ET sequence|legend=1| 3, …, 33c, 36c, 69cc }}
{{Optimal ET sequence|legend=1| 3, …, 33c, 36c, 69cc }}
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== Isnes ==
== Isnes ==
Isnes is so called because the generator is half of a [[8/5]] minor sixth, in a similar way that [[sensi]] has a generator of half a [[5/3]]. This corresponds to {{nowrap|''n'' {{=}} 19/7}} and ''m'' {{=}} 19/12}}.  
Isnes is so called because the generator is half of a [[5/2]] major tenth, in a similar way that [[sensi]] has a generator of half a [[5/3]] major sixth. This corresponds to {{nowrap|''n'' {{=}} 19/7 }} and {{nowrap| ''m'' {{=}} 19/12 }}.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
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[[Comma list]]: {{monzo| 41 2 -19 }}
[[Comma list]]: {{monzo| 41 2 -19 }}


{{Mapping|legend=1| 1 8 3 | 0 -19 -2 }}
{{Mapping|legend=1| 1 -11 1 | 0 19 2 }}
 
: mapping generators: ~2, ~3145728/1953125
: mapping generators: ~2, ~1953125/1572864


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~1953125/1572864 = 405.1689
* [[WE]]: ~2 = 1199.2782{{c}}, ~3145728/1953125 = 794.4174{{c}}
* [[CWE]]: ~2 = 1\1, ~1953125/1572864 = 405.1272
: [[error map]]: {{val| -0.722 -0.090 +1.799 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3145728/1953125 = 794.8728{{c}}
: error map: {{val| 0.000 +0.628 +3.432 }}


{{Optimal ET sequence|legend=1| 3, 71b, 74, 77, 157, 548ccc }}
{{Optimal ET sequence|legend=1| 3, 71b, 74, 77, 157, 548ccc }}