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User:Francium/Mirroring Numbers: Difference between revisions

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The combinations I used resulted in following rank-2 temperaments:
The combinations I used resulted in following rank-2 temperaments:


===13&31===
===13 & 31===


Subgroup: 2.3.5/3
Subgroup: 2.3.5/3
Line 19: Line 19:
{{Optimal ET sequence|legend=1| 18*, 31, 49*, 80* }}
{{Optimal ET sequence|legend=1| 18*, 31, 49*, 80* }}


Badness: 0.721649
Badness: 49.143


===14&41===
===14 & 41===


Name: Quadbizo
Name: Quadbizo
Line 35: Line 35:
Optimal tuning (POTE): 1200.0000, 87.8304
Optimal tuning (POTE): 1200.0000, 87.8304


Supporting ETs: 41, 14, 27, 13[+7], 55, 68, 96[-7], 109, 15[-3, -7], 12[+3, +7], 69[-7], 40[+3, +7], 95, 29[-3, -7]
{{Optimal ET sequence|legend=1| 13d, 14, 27, 41 }}


Badness: 0.004906
Badness: 2.622
 
'''2.3.7.11 subgroup'''
 
Comma list: [[243/242]], 2401/2376, 21609/21296, 26411/26244
 
Mapping: [{{val|1 1 2 2}}, {{val|0 8 11 20}}]
 
Optimal tuning (POTE): 1200.0000, 87.6512
 
{{Optimal ET sequence|legend=1| 13dee, 14, 27e, 41, 96d, 137d, 178d }}
 
Badness: 0.815
 
'''2.3.7.11.17 subgroup'''
 
Comma list: 154/153, 189/187, [[243/242]], 294/289, 2401/2376, 5831/5808
 
Mapping: [{{val|1 1 2 2 3}}, {{val|0 8 11 20 15}}]
 
Optimal tuning (POTE): 1200.0000, 87.6541
 
{{Optimal ET sequence|legend=1| 13deeg, 14, 27eg, 41 }}
 
Badness: 0.811
 
===16 & 61===
 
Subgroup: 2.3.5.13
 
Comma list: {{monzo|11 3 -2 -3}}, {{monzo|2 2 -7 3}}, {{monzo|13 5 -9 0}}, {{monzo|-9 -1 -5 6}}
 
Mapping: [{{val|1 10 7 9}}, {{val|0 -27 -15 -17}}]
 
Mapping generators: 1199.4251, 373.8106
 
Optimal tuning (POTE): 1200.0000, 373.9898
 
{{Optimal ET sequence|legend=1|16, 61, 77, 93, 109b, 170, 247 }}
 
Badness: 4.544
 
===17 & 71===
 
Subgroup: 2.25.11.13
 
Comma list: 2200/2197, 8192/8125
 
Mapping: [{{val|1 5 1 3}}, {{val|0 -1 7 2}}
 
Mapping generators: 1199.3097, 421.7111
 
Optimal tuning (POTE): 1200.0000, 421.9538
 
{{Optimal ET sequence|legend=1|17, 20, 23e, 37, 54, 57, 71, 91, 94}}
 
Badness: 0.526
 
===19 & 91===
 
Name: Catakleismic
 
Subgroup: 2.3.5.7
 
Comma list: 225/224, 4375/4374
 
Mapping: [{{val|1 0 1 -3}}, {{val|0 6 5 23}}
 
Mapping generators: 1200.5972, 316.8895
 
Optimal tuning (POTE): 1200.0000, 316.7318
 
{{Optimal ET sequence|legend=1|19, 23dd, 53, 72, 91, 110d,  125, 163d, 178, 197, 269c}}
 
Badness: 0.544
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