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Immunity family: Difference between revisions

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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~1280/729 = 952.706
* [[CTE]]: ~2 = 1200.0000¢, ~1280/729 = 952.7056¢
: [[error map]]: {{val| 0.000 +3.456 -1.141 }}
: [[error map]]: {{val| 0.000 +3.456 -1.141 }}
* [[POTE]]: ~2 = 1200.000, ~1280/729 = 952.930
* [[CWE]]: ~2 = 1200.0000¢, ~1280/729 = 952.8424¢
: error map: {{val| 0.000 +3.905 +1.775 }}
: error map: {{val| 0.000 +3.730 +0.638 }}


{{Optimal ET sequence|legend=1| 5, …, 29, 34 }}
{{Optimal ET sequence|legend=1| 5, …, 29, 34 }}


[[Badness]] (Smith): 0.184738
[[Badness]] (Sintel): 4.334


=== 2.3.5.13 subgroup ===
=== 2.3.5.13 subgroup ===
Line 31: Line 31:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~26/15 = 952.643
* CTE: ~2 = 1200.0000¢, ~26/15 = 952.6431¢
* CWE: ~2 = 1200.000, ~26/15 = 952.789
* CWE: ~2 = 1200.0000¢, ~26/15 = 952.7890¢


{{Optimal ET sequence|legend=0| 5, …, 29, 34 }}
{{Optimal ET sequence|legend=0| 5, …, 29, 34 }}


Badness (Smith): 0.257
Badness (Sintel): 0.858
 
=== Overview to extensions ===
The second comma of the comma list defines which 7-limit family member we are looking at:
* Septimal immunity adds [[49/48]];
* Immunized adds [[64/63]];
* Immune adds [[225/224]].


== Septimal immunity ==
== Septimal immunity ==
Line 48: Line 54:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~7/4 = 952.767
* [[CTE]]: ~2 = 1200.0000¢, ~7/4 = 952.7674¢
: [[error map]]: {{val| 0.000 +3.580 -0.337 -16.058 }}
: [[error map]]: {{val| 0.000 +3.580 -0.337 -16.058 }}
* [[POTE]]: ~2 = 1200.000, ~7/4 = 952.445
* [[CWE]]: ~2 = 1200.0000¢, ~7/4 = 952.5376¢
: error map: {{val| 0.000 +2.936 -4.525 -16.381 }}
: error map: {{val| 0.000 +3.120 -3.325 -16.288 }}


{{Optimal ET sequence|legend=1| 5, …, 29, 34, 63d }}
{{Optimal ET sequence|legend=1| 5, …, 29, 34, 63d }}


[[Badness]] (Smith): 0.077631
[[Badness]] (Sintel): 1.965


=== 11-limit ===
=== 11-limit ===
Line 65: Line 71:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~7/4 = 952.442
* CTE: ~2 = 1200.0000¢, ~7/4 = 952.4418¢
* POTE: ~2 = 1200.000, ~7/4 = 952.074
* CWE: ~2 = 1200.0000¢, ~7/4 = 952.1429¢


{{Optimal ET sequence|legend=0| 5, 24c, 29, 63de }}
{{Optimal ET sequence|legend=0| 5, 24c, 29, 63de }}


Badness (Smith): 0.052661
Badness (Sintel): 1.741


==== 13-limit ====
==== 13-limit ====
Line 80: Line 86:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~7/4 = 952.472
* CTE: ~2 = 1200.0000¢, ~7/4 = 952.4723¢
* POTE: ~2 = 1200.000, ~7/4 = 952.031
* CWE: ~2 = 1200.0000¢, ~7/4 = 952.1117¢


{{Optimal ET sequence|legend=0| 5, 24cf, 29 }}
{{Optimal ET sequence|legend=0| 5, 24cf, 29 }}


Badness (Smith): 0.037078
Badness (Sintel): 1.532


=== Impunity ===
=== Impunity ===
Line 95: Line 101:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~7/4 = 952.528
* CTE: ~2 = 1200.0000¢, ~7/4 = 952.5282¢
* POTE: ~2 = 1200.000, ~7/4 = 952.227
* CWE: ~2 = 1200.0000¢, ~7/4 = 952.3120¢


{{Optimal ET sequence|legend=0| 5e, 24cee, 29 }}
{{Optimal ET sequence|legend=0| 5e, 24cee, 29 }}


Badness (Smith): 0.055243
Badness (Sintel): 1.826


==== 13-limit ====
==== 13-limit ====
Line 110: Line 116:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~7/4 = 952.529
* CTE: ~2 = 1200.0000¢, ~7/4 = 952.5292¢
* POTE: ~2 = 1200.000, ~7/4 = 952.217
* CWE: ~2 = 1200.0000¢, ~7/4 = 952.3038¢


{{Optimal ET sequence|legend=0| 5e, 24ceef, 29 }}
{{Optimal ET sequence|legend=0| 5e, 24ceef, 29 }}


Badness (Smith): 0.033196
Badness (Sintel): 1.372


== Immunized ==
== Immunized ==
Line 125: Line 131:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~140/81 = 953.001
* [[CTE]]: ~2 = 1200.0000¢, ~140/81 = 953.0010¢
: [[error map]]: {{val| 0.000 +4.047 +2.669 +19.170 }}
: [[error map]]: {{val| 0.000 +4.047 +2.669 +19.170 }}
* [[POTE]]: ~2 = 1200.000, ~140/81 = 953.521
* [[CWE]]: ~2 = 1200.0000¢, ~140/81 = 953.3954¢
: error map: {{val| 0.000 +5.088 +9.463 +17.089 }}
: error map: {{val| 0.000 +4.836 +7.827 +17.592 }}


{{Optimal ET sequence|legend=1| 5, 29d, 34d, 39d, 73dd, 112cddd }}
{{Optimal ET sequence|legend=1| 5, 29d, 34d, 39d, 73dd, 112cddd }}


[[Badness]] (Smith): 0.082592
[[Badness]] (Sintel): 2.090


=== 11-limit ===
=== 11-limit ===
Line 142: Line 148:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~55/32 = 953.271
* CTE: ~2 = 1200.0000¢, ~55/32 = 953.2713¢
* POTE: ~2 = 1200.000, ~55/32 = 953.397
* CWE: ~2 = 1200.0000¢, ~55/32 = 953.3755¢


{{Optimal ET sequence|legend=0| 5, 29de, 34d, 39d, 73dd }}
{{Optimal ET sequence|legend=0| 5, 29de, 34d, 39d, 73dd }}


Badness (Smith): 0.051515
Badness (Sintel): 1.703


== Immune ==
== Immune ==
Line 157: Line 163:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~1000/567 = 952.386
* [[CTE]]: ~2 = 1200.0000¢, ~1000/567 = 952.3863¢
: [[error map]]: {{val| 0.000 +2.818 -5.292 +2.763 }}
: [[error map]]: {{val| 0.000 +2.818 -5.292 +2.763 }}
* [[POTE]]: ~2 = 1200.000, ~1000/567 = 952.417
* [[CWE]]: ~2 = 1200.0000¢, ~1000/567 = 952.4061¢
: error map: {{val| 0.000 +2.879 -4.893 +3.683 }}
: error map: {{val| 0.000 +2.857 -5.034 +3.357 }}


{{Optimal ET sequence|legend=1| 29, 34d, 63 }}
{{Optimal ET sequence|legend=1| 29, 34d, 63 }}


[[Badness]] (Smith): 0.144835
[[Badness]] (Sintel): 3.665


=== 11-limit ===
=== 11-limit ===
Line 174: Line 180:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~121/70 = 952.375
* CTE: ~2 = 1200.0000¢, ~121/70 = 952.3747¢
* POTE: ~2 = 1200.000, ~121/70 = 952.411
* CWE: ~2 = 1200.0000¢, ~121/70 = 952.3983¢


{{Optimal ET sequence|legend=0| 29, 34d, 63 }}
{{Optimal ET sequence|legend=0| 29, 34d, 63 }}


Badness (Smith): 0.050990
Badness (Sintel): 1.686


=== 13-limit ===
=== 13-limit ===
Line 189: Line 195:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000, ~26/15 = 952.389
* CTE: ~2 = 1200.0000¢, ~26/15 = 952.3891¢
* POTE: ~2 = 1200.000, ~26/15 = 952.407
* CWE: ~2 = 1200.0000¢, ~26/15 = 952.4008¢


{{Optimal ET sequence|legend=0| 29, 34d, 63 }}
{{Optimal ET sequence|legend=0| 29, 34d, 63 }}


Badness (Smith): 0.028521
Badness (Sintel): 1.179


[[Category:Temperament families]]
[[Category:Temperament families]]
Retrieved from "https://en.xen.wiki/w/Immunity_family"