Sensamagic family: Difference between revisions

+ intro to certain entries
Sensigh: exists in the 11-limit too
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== Sensigh ==
== Sensigh ==
Sensigh uses the same mapping as 7-limit [[sensi]] with an independent generator for prime 11.
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 126/125, 245/243
{{Mapping|legend=1| 1 -1 -1 -2 3 | 0 7 9 13 0 | 0 0 0 0 1 }}
: mapping generators: ~2, ~9/7, ~11
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.7081{{c}}, ~9/7 = 443.2748{{c}}, ~11/8 = 552.1736{{c}}
: [[error map]]: {{val| -0.2919 +1.2608 +3.4518 -5.6691 -0.0202 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~9/7 = 443.3493{{c}}, ~11/8 = 551.8069{{c}}
: error map: {{val| 0.0000 +1.4899 +3.8297 -5.2854 +0.4890 }}
{{Optimal ET sequence|legend=1| 27e, 38df, 46, 111d }}
[[Badness]] (Sintel): 1.48
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 91/90, 126/125, 169/168
Comma list: 91/90, 126/125, 169/168


Mapping: {{mapping| 1 6 8 11 0 10 | 0 -7 -9 -13 0 -10 | 0 0 0 0 1 0 }}
Mapping: {{mapping| 1 -1 -1 -2 3 0 | 0 7 9 13 0 10 | 0 0 0 0 1 0 }}
: mapping generators: ~2, ~9/7, ~11


Optimal tunings:  
Optimal tunings:  
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Comma list: 91/90, 126/125, 154/153, 169/168
Comma list: 91/90, 126/125, 154/153, 169/168


Mapping: {{mapping| 1 6 8 11 0 10 0 | 0 -7 -9 -13 0 -10 1 | 0 0 0 0 1 0 1 }}
Mapping: {{mapping| 1 -1 -1 -2 3 0 4 | 0 7 9 13 0 10 -1 | 0 0 0 0 1 0 1 }}


Optimal tunings:  
Optimal tunings: