Immunity family: Difference between revisions

Update keys
+2.3.5.13 subgroup temp and review optimal ET sequences
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== Immunity ==
== Immunity ==
Immunity is naturally a 2.3.5.13 [[subgroup temperament]] as the generator serves as ~26/15 (or its [[octave complement]] ~15/13), tempering out [[676/675]].
[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5


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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1280/729 = 952.930
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~1280/729 = 952.930


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


[[Badness]]: 0.184738
[[Badness]]: 0.184738
=== 2.3.5.13 subgroup ===
Subgroup: 2.3.5.13
Comma list: 676/675, 3200/3159
Sval mapping: {{mapping| 1 0 -8 -9 | 0 2 13 16 }}
Optimal tuning (CTE): ~2 = 1\1, ~26/15 = 952.6431
{{Optimal ET sequence|legend=1| 5, …, 29, 34 }}
Badness: 0.257


== Septimal immunity ==
== Septimal immunity ==
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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/4 = 952.445
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/4 = 952.445


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


[[Badness]]: 0.077631
[[Badness]]: 0.077631
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Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.074
Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.074


{{Optimal ET sequence|legend=1| 5, 24c, 29, 63de, 92cddee }}
{{Optimal ET sequence|legend=1| 5, 24c, 29, 63de }}


Badness: 0.052661
Badness: 0.052661
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Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.031
Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.031


{{Optimal ET sequence|legend=1| 5, 24cf, 29, 92cddee }}
{{Optimal ET sequence|legend=1| 5, 24cf, 29 }}


Badness: 0.037078
Badness: 0.037078
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Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.227
Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.227


{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }}
{{Optimal ET sequence|legend=1| 5e, 24cee, 29 }}


Badness: 0.055243
Badness: 0.055243
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Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.217
Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 952.217


{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }}
{{Optimal ET sequence|legend=1| 5e, 24ceef, 29 }}


Badness: 0.033196
Badness: 0.033196
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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~140/81 = 953.521
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~140/81 = 953.521


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


[[Badness]]: 0.082592
[[Badness]]: 0.082592
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Optimal tuning (POTE): ~2 = 1\1, ~55/32 = 953.397
Optimal tuning (POTE): ~2 = 1\1, ~55/32 = 953.397


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


Badness: 0.051515
Badness: 0.051515