Quintosec family: Difference between revisions

+ history of the naming of sengasec
m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
(2 intermediate revisions by the same user not shown)
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Comma list: 5632/5625, 26214400/26198073
Comma list: 5632/5625, 26214400/26198073


Mapping: {{mapping| 5 1 22 45 | 0 2 -3 -8 }}
{{Mapping|legend=0| 5 1 22 45 | 0 2 -3 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 63: Line 63:
Comma list: 225/224, 243/242, 3840/3773
Comma list: 225/224, 243/242, 3840/3773


Mapping: {{mapping| 5 1 22 21 0 | 0 2 -3 -2 5 }}
{{Mapping|legend=0| 5 1 22 21 0 | 0 2 -3 -2 5 }}


Optimal tunings:  
Optimal tunings:  
Line 74: Line 74:


=== Qinto ===
=== Qinto ===
This alternative extension can be tuned to [[75edo]] and [[85edo]], both in [[patent val]]s.
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 225/224, 385/384, 332750/321489
Comma list: 225/224, 385/384, 332750/321489


Mapping: {{mapping| 5 1 22 21 -7 | 0 2 -3 -2 7 }}
{{Mapping|legend=0| 5 1 22 21 -7 | 0 2 -3 -2 7 }}


Optimal tunings:  
Optimal tunings:  
Line 112: Line 114:
Comma list: 243/242, 385/384, 686/675
Comma list: 243/242, 385/384, 686/675


Mapping: {{mapping| 5 1 22 14 0 | 0 2 -3 0 5 }}
{{Mapping|legend=0| 5 1 22 14 0 | 0 2 -3 0 5 }}


Optimal tunings:  
Optimal tunings:  
Line 125: Line 127:
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 105/104, 144/143, 243/242, 686/675
Comma list: 91/90, 169/168, 243/242, 385/384


Mapping: {{mapping| 5 1 22 14 0 22 | 0 2 -3 0 5 -1 }}
{{Mapping|legend=0| 5 1 22 14 0 15 | 0 2 -3 0 5 1 }}


Optimal tunings:  
Optimal tunings:  
* WE: ~8/7 = 239.9825{{c}}, ~45/28 = 830.8492{{c}} (~16/15 = 110.9018{{c}})
* WE: ~8/7 = 240.1611{{c}}, ~13/8 = 831.2123{{c}} (~16/15 = 110.7289{{c}})
* CWE: ~8/7 = 240.0000{{c}}, ~45/28 = 830.9071{{c}} (~16/15 = 110.9071{{c}})
* CWE: ~8/7 = 240.0000{{c}}, ~13/8 = 830.6933{{c}} (~16/15 = 110.6933{{c}})


{{Optimal ET sequence|legend=0| 10, 55, 65 }}
{{Optimal ET sequence|legend=0| 10, 55f, 65f }}


Badness (Sintel): 2.33
Badness (Sintel): 2.08


== Decoid ==
== Decoid ==
Line 162: Line 164:
Comma list: 2401/2400, 5632/5625, 9801/9800
Comma list: 2401/2400, 5632/5625, 9801/9800


Mapping: {{mapping| 10 0 47 36 98 | 0 2 -3 -1 -8 }}
{{Mapping|legend=0| 10 0 47 36 98 | 0 2 -3 -1 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 177: Line 179:
Comma list: 676/675, 1001/1000, 1716/1715, 4096/4095
Comma list: 676/675, 1001/1000, 1716/1715, 4096/4095


Mapping: {{mapping| 10 0 47 36 98 37 | 0 2 -3 -1 -8 0 }}
{{Mapping|legend=0| 10 0 47 36 98 37 | 0 2 -3 -1 -8 0 }}


Optimal tunings:  
Optimal tunings:  
Line 192: Line 194:
Comma list: 2401/2400, 42592/42525, 1771561/1769472
Comma list: 2401/2400, 42592/42525, 1771561/1769472


Mapping: {{mapping| 30 0 141 108 80 | 0 2 -3 -1 1 }}
{{Mapping|legend=0| 30 0 141 108 80 | 0 2 -3 -1 1 }}
: mapping generators: ~45/44, ~8192/4725
: mapping generators: ~45/44, ~8192/4725


Line 208: Line 210:
Comma list: 676/675, 2401/2400, 4096/4095, 6656/6655
Comma list: 676/675, 2401/2400, 4096/4095, 6656/6655


Mapping: {{mapping| 30 0 141 108 80 111 | 0 2 -3 -1 1 0 }}
{{Mapping|legend=0| 30 0 141 108 80 111 | 0 2 -3 -1 1 0 }}


Optimal tunings:  
Optimal tunings: