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Passion family: Difference between revisions

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m Units. Misc. cleanup
Switch to Sintel's badness, WE & CWE tunings, per community consensus
Line 11: Line 11:
: mapping generators: ~2, ~16/15
: mapping generators: ~2, ~16/15


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.670{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1197.8074{{c}}, ~16/15 = 98.4898{{c}}
: [[error map]]: {{val| -2.193 +1.211 +3.260 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7335{{c}}
: error map: {{val| 0.000 +4.378 +8.620 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.670{{c}} -->


{{Optimal ET sequence|legend=1| 12, 49, 61, 73 }}
{{Optimal ET sequence|legend=1| 12, 49, 61, 73, 231bccc }}


[[Badness]] (Smith): 0.168550
[[Badness]] (Sintel): 3.95


== Septimal passion ==
== Septimal passion ==
Line 24: Line 29:
{{Mapping|legend=1| 1 2 2 2 | 0 -5 4 10 }}
{{Mapping|legend=1| 1 2 2 2 | 0 -5 4 10 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.153{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1197.0350{{c}}, ~21/20 = 97.9106{{c}}
: [[error map]]: {{val| -2.965 +2.562 -0.601 +4.351 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.1019{{c}}
: error map: {{val| 0.000 +7.535 +6.094 +12.193 }}
<!-- [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.153{{c}} -->


{{Optimal ET sequence|legend=1| 12, 37, 49, 110bcd }}
{{Optimal ET sequence|legend=1| 12, 37, 49, 110bcd }}


[[Badness]] (Smith): 0.062327
[[Badness]] (Sintel): 1.58


=== 11-limit ===
=== 11-limit ===
Line 37: Line 47:
Mapping: {{mapping| 1 2 2 2 2 | 0 -5 4 10 18 }}
Mapping: {{mapping| 1 2 2 2 2 | 0 -5 4 10 18 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.019{{c}}
Optimal tunings:
* WE: ~2 = 1196.9304{{c}}, ~21/20 = 97.7686{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.9333{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.019{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 12, 37, 49 }}
{{Optimal ET sequence|legend=0| 12, 37, 49 }}


Badness (Smith): 0.040809
Badness (Sintel): 1.35


=== 13-limit ===
=== 13-limit ===
Line 50: Line 63:
Mapping: {{mapping| 1 2 2 2 2 2 | 0 -5 4 10 18 21 }}
Mapping: {{mapping| 1 2 2 2 2 2 | 0 -5 4 10 18 21 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 97.910{{c}}
Optimal tunings:
* WE: ~2 = 1196.8712{{c}}, ~21/20 = 97.6548{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.8141{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 97.910{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 12f, 25f, 37, 49f }}
{{Optimal ET sequence|legend=0| 12f, 25f, 37, 49f }}


Badness (Smith): 0.030886
Badness (Sintel): 1.28


== Passionate ==
== Passionate ==
Line 63: Line 79:
{{Mapping|legend=1| 1 2 2 1 | 0 -5 4 22 }}
{{Mapping|legend=1| 1 2 2 1 | 0 -5 4 22 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.817{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1197.9486{{c}}, ~16/15 = 98.6479{{c}}
: [[error map]]: {{val| -2.051 +0.703 +4.175 -0.623 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7770{{c}}
: error map: {{val| 0.000 +4.160 +8.794 +4.269 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.817{{c}} -->


{{Optimal ET sequence|legend=1| 12, 61, 73, 85c }}
{{Optimal ET sequence|legend=1| 12, 49d, 61, 73, 85c }}


[[Badness]] (Smith): 0.121293
[[Badness]] (Sintel): 3.07


=== 11-limit ===
=== 11-limit ===
Line 76: Line 97:
Mapping: {{mapping| 1 2 2 1 1 | 0 -5 4 22 30 }}
Mapping: {{mapping| 1 2 2 1 1 | 0 -5 4 22 30 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.721{{c}}
Optimal tunings:
* WE: ~2 = 1197.8835{{c}}, ~16/15 = 98.5469{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.6733{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.721{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 12, 61, 73, 158bccee }}
{{Optimal ET sequence|legend=0| 12, 49de, 61, 73, 158bccee }}


Badness (Smith): 0.068322
Badness (Sintel): 2.26


==== 13-limit ====
==== 13-limit ====
Line 89: Line 113:
Mapping: {{mapping| 1 2 2 1 1 1 | 0 -5 4 22 30 33 }}
Mapping: {{mapping| 1 2 2 1 1 1 | 0 -5 4 22 30 33 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.627{{c}}
Optimal tunings:
* WE: ~2 = 1197.8309{{c}}, ~16/15 = 98.4485{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.5760{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.627{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 12f, 61, 73f }}
{{Optimal ET sequence|legend=0| 12f, 49de, 61, 73f }}


Badness (Smith): 0.052302
Badness (Sintel): 2.16


==== Pash ====
==== Pash ====
Line 102: Line 129:
Mapping: {{mapping| 1 2 2 1 1 0 | 0 -5 4 22 30 45 }}
Mapping: {{mapping| 1 2 2 1 1 0 | 0 -5 4 22 30 45 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.791{{c}}
Optimal tunings:
* WE: ~2 = 1197.8306{{c}}, ~16/15 = 98.6124{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.7468{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.791{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 12f, 61f, 73, 85ce }}
{{Optimal ET sequence|legend=0| 12f, 73, 85ce }}


Badness (Smith): 0.056386
Badness (Sintel): 2.33


== Passive ==
== Passive ==
Line 115: Line 145:
{{Mapping|legend=1| 1 2 2 3 | 0 -5 4 -2 }}
{{Mapping|legend=1| 1 2 2 3 | 0 -5 4 -2 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.809{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1195.3551{{c}}, ~16/15 = 98.4266{{c}}
: [[error map]]: {{val| -4.645 -3.378 -1.897 +20.386 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.9690{{c}}
: error map: {{val| 0.000 +3.200 +9.562 +33.236 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.809{{c}} -->


{{Optimal ET sequence|legend=1| 1, 11, 12, 49dd }}
{{Optimal ET sequence|legend=1| 1, 11, 12 }}


[[Badness]] (Smith): 0.075055
[[Badness]] (Sintel): 1.90


== Freivald ==
== Freivald ==
Line 126: Line 161:
[[Comma list]]: 6144/6125, 6272/6075
[[Comma list]]: 6144/6125, 6272/6075


{{Mapping|legend=1| 1 7 -2 12 | 0 -10 8 -17 }}
{{Mapping|legend=1| 1 -3 6 -5 | 0 10 -8 17 }}


: mapping generator: ~2, ~35/24
: mapping generator: ~2, ~48/35


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~48/35 = 550.9374{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1198.4021{{c}}, ~48/35 = 550.2038{{c}}
: [[error map]]: {{val| -4.645 -3.378 -1.897 +20.386 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.8980{{c}}
: error map: {{val| 0.000 +3.200 +9.562 +33.236 }}
<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.9374{{c}} -->


{{Optimal ET sequence|legend=1| 13d, 24, 37, 61, 98b }}
{{Optimal ET sequence|legend=1| 13d, 24, 37, 61, 98b }}


[[Badness]] (Smith): 0.209095
[[Badness]] (Sintel): 5.29


=== 11-limit ===
=== 11-limit ===
Line 141: Line 181:
Comma list: 121/120, 176/175, 2744/2673
Comma list: 121/120, 176/175, 2744/2673


Mapping: {{mapping| 1 7 -2 12 4 | 0 -10 8 -17 -1 }}
Mapping: {{mapping| 1 -3 6 -5 3 | 0 10 -8 17 1 }}


Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~11/8 = 550.9007{{c}}
Optimal tunings:
* WE: ~2 = 1198.8053{{c}}, ~11/8 = 550.3522{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8760{{c}}
<!-- * POTE: ~2 = 1200.0000{{c}}, ~11/8 = 550.9007{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 13d, 24, 37, 61 }}
{{Optimal ET sequence|legend=0| 13d, 24, 37, 61 }}


Badness (Smith): 0.077504
Badness (Sintel): 2.56


=== 13-limit ===
=== 13-limit ===
Line 156: Line 199:
Mapping: {{mapping| 1 7 -2 12 4 1 | 0 -10 8 -17 -1 5 }}
Mapping: {{mapping| 1 7 -2 12 4 1 | 0 -10 8 -17 -1 5 }}


Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~11/8 = 550.9062{{c}}
Optimal tunings:
* WE: ~2 = 1198.7706{{c}}, ~11/8 = 550.3418{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8892{{c}}
<!-- * POTE: ~2 = 1200.0000{{c}}, ~11/8 = 550.9062{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 13d, 24, 37, 61 }}
{{Optimal ET sequence|legend=0| 13d, 24, 37, 61 }}


Badness (Smith): 0.045864
Badness (Sintel): 1.90


[[Category:Temperament families]]
[[Category:Temperament families]]
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