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Buzzardsmic clan: Difference between revisions

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m Units & misc. cleanup
Switch to Sintel's badness, WE & CWE tunings, per community consensus (1/)
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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.727{{c}}
* [[WE]]: ~2 = 1199.2548{{c}}, ~21/16 = 475.5761{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.833{{c}}
: [[error map]]: {{val| -0.745 +0.350 +1.465 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 475.8328{{c}}
: error map: {{val| 0.000 +1.376 +3.676 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.727{{c}} -->


{{Optimal ET sequence|legend=1| 5, 33, 38, 43, 48, 53, 58 }}
{{Optimal ET sequence|legend=1| 5, 33, 38, 43, 48, 53, 58 }}
Line 33: Line 36:


= Strong extensions =
= Strong extensions =
== Septimal buzzard ==
== Septimal buzzard ==
{{Main| Buzzard }}
{{Main| Buzzard }}
Line 49: Line 51:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.555{{c}}
* [[WE]]: ~2 = 1199.3061{{c}}, ~21/16 = 475.3611{{c}}
: [[error map]]: {{val| -0.694 -0.511 +0.432 +2.315 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 475.6144{{c}}
: error map: {{val| 0.000 +0.503 +1.589 +4.331 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.555{{c}}
: [[error map]]: {{val| 0.000 +0.263 +0.333 +4.510 }}
: [[error map]]: {{val| 0.000 +0.263 +0.333 +4.510 }}
* [[POTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.636{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.636{{c}}
: error map: {{val| 0.000 +0.589 +2.045 +4.266 }}
: error map: {{val| 0.000 +0.589 +2.045 +4.266 }} -->


{{Optimal ET sequence|legend=1| 5, 48, 53, 111, 164d, 275d }}
{{Optimal ET sequence|legend=1| 5, 48, 53, 111, 164d, 275d }}


[[Badness]] (Smith): 0.047963
[[Badness]] (Sintel): 1.21


=== 11-limit ===
=== 11-limit ===
Line 66: Line 72:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.625{{c}}
* WE: ~2 = 1199.2516{{c}}, ~21/16 = 475.4037{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.700{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.6806{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.625{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.700{{c}} -->


{{Optimal ET sequence|legend=0| 53, 58, 111, 280cd }}
{{Optimal ET sequence|legend=0| 53, 58, 111, 280cd }}


Badness (Smith): 0.034484
Badness (Sintel): 1.14


==== 13-limit ====
==== 13-limit ====
Line 81: Line 89:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.615{{c}}
* WE: ~2 = 1199.2391{{c}}, ~21/16 = 475.3956{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.697{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.6760{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.615{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.697{{c}} -->


{{Optimal ET sequence|legend=0| 53, 58, 111, 280cdf }}
{{Optimal ET sequence|legend=0| 53, 58, 111, 280cdf }}


Badness (Smith): 0.018842
Badness (Sintel): 0.779


==== 17-limit ====
==== 17-limit ====
Line 96: Line 106:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.638{{c}}
* WE: ~2 = 1199.2723{{c}}, ~21/16 = 475.4039{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.692{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.6837{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.638{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.692{{c}} -->


{{Optimal ET sequence|legend=0| 53, 58, 111 }}
{{Optimal ET sequence|legend=0| 53, 58, 111 }}


Badness (Smith): 0.018403
Badness (Sintel): 0.938


==== 19-limit ====
==== 19-limit ====
Line 111: Line 123:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.617{{c}}
* WE: ~2 = 1199.2457{{c}}, ~21/16 = 475.3797{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.679{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.6690{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.617{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.679{{c}} -->


{{Optimal ET sequence|legend=0| 53, 58h, 111 }}
{{Optimal ET sequence|legend=0| 53, 58h, 111 }}


Badness (Smith): 0.015649
Badness (Sintel): 0.952


=== Buteo ===
=== Buteo ===
Line 126: Line 140:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.454{{c}}
* WE: ~2 = 1200.2867{{c}}, ~21/16 = 475.5498{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.436{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.4393{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.454{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.436{{c}} -->


{{Optimal ET sequence|legend=0| 5, 48, 53 }}
{{Optimal ET sequence|legend=0| 5, 48, 53 }}


Badness (Smith): 0.060238
Badness (Sintel): 1.99


==== 13-limit ====
==== 13-limit ====
Line 141: Line 157:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.495{{c}}
* WE: ~2 = 1200.3416{{c}}, ~21/16 = 475.5998{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.464{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 475.4696{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~21/16 = 475.495{{c}}
* POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.464{{c}} -->


{{Optimal ET sequence|legend=0| 5, 48f, 53 }}
{{Optimal ET sequence|legend=0| 5, 48f, 53 }}


Badness (Smith): 0.039854
Badness (Sintel): 1.65


== Subfourth ==
== Subfourth ==
Line 155: Line 173:
{{Mapping|legend=1| 1 0 17 4 | 0 4 -37 -3 }}
{{Mapping|legend=1| 1 0 17 4 | 0 4 -37 -3 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~21/16 = 475.991{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.1804{{c}}, ~21/16 = 475.6659{{c}}
: [[error map]]: {{val| -0.820 +0.709 +0.113 +0.898 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 476.0019{{c}}
: error map: {{val| 0.000 +2.052 +1.617 +3.168 }}
<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~21/16 = 475.991{{c}} -->


{{Optimal ET sequence|legend=1| 58, 121, 179, 300bd, 479bcd }}
{{Optimal ET sequence|legend=1| 58, 121, 179, 300bd, 479bcdd }}


[[Badness]] (Smith): 0.140722
[[Badness]] (Sintel): 3.56


=== 11-limit ===
=== 11-limit ===
Line 168: Line 191:
Mapping: {{mapping| 1 0 17 4 11 | 0 4 -37 -3 -19 }}
Mapping: {{mapping| 1 0 17 4 11 | 0 4 -37 -3 -19 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~21/16 = 475.995{{c}}
Optimal tunings:
* WE: ~2 = 1199.0801{{c}}, ~21/16 = 475.6303{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 476.0088{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.995{{c}} -->


{{Optimal ET sequence|legend=1| 58, 121, 179e, 300bde }}
{{Optimal ET sequence|legend=0| 58, 121, 179e, 300bdee, 479bcddeee }}


Badness (Smith): 0.045323
Badness (Sintel): 1.50


=== 13-limit ===
=== 13-limit ===
Line 181: Line 207:
Mapping: {{mapping| 1 0 17 4 11 16 | 0 4 -37 -3 -19 -31 }}
Mapping: {{mapping| 1 0 17 4 11 16 | 0 4 -37 -3 -19 -31 }}


Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~21/16 = 475.996{{c}}
Optimal tunings:
* WE: ~2 = 1199.0747{{c}}, ~21/16 = 475.6291{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~21/16 = 476.0113{{c}}
<!-- * POTE: ~2 = 1200.000{{c}}, ~21/16 = 475.996{{c}} -->


{{Optimal ET sequence|legend=1| 58, 121, 179ef, 300bdef }}
{{Optimal ET sequence|legend=0| 58, 121, 179ef, 300bdeef }}


Badness (Smith): 0.023800
Badness (Sintel): 0.983


== Lemongrass ==
== Lemongrass ==
Line 194: Line 223:
{{Mapping|legend=1| 1 0 17 4 | 0 4 26 -3 }}
{{Mapping|legend=1| 1 0 17 4 | 0 4 26 -3 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~21/16 = 476.4448{{c}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.0957{{c}}, ~21/16 = 476.0857{{c}}
: [[error map]]: {{val| -0.904 +2.388 -0.851 -0.700 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 476.4221{{c}}
: error map: {{val| 0.000 +3.733 +0.660 +1.908 }}
<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~21/16 = 476.4448{{c}} -->


{{Optimal ET sequence|legend=1| 5, …, 63, 68 }}
{{Optimal ET sequence|legend=1| 5, …, 63, 68 }}


[[Badness]] (Sintel): 2.902
[[Badness]] (Sintel): 2.90


= Weak extensions =
= Weak extensions =
Line 229: Line 263:
Optimal tuning (CTE): ~2 = 1200.000{{c}}, ~16/13 = 362.242{{c}}
Optimal tuning (CTE): ~2 = 1200.000{{c}}, ~16/13 = 362.242{{c}}


{{Optimal ET sequence|legend=1| 10, 33, 43, 53 }}
{{Optimal ET sequence|legend=0| 10, 33, 43, 53 }}


Badness (Sintel): 0.847
Badness (Sintel): 0.847
Line 244: Line 278:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~27/22 = 362.101{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~27/22 = 362.101{{c}}


{{Optimal ET sequence|legend=1| 10, 43e, 53, 116, 169de, 285cde }}
{{Optimal ET sequence|legend=0| 10, 43e, 53, 116, 169de, 285cde }}


Badness (Smith): 0.050582
Badness (Smith): 0.050582
Line 257: Line 291:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/13 = 362.105{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/13 = 362.105{{c}}


{{Optimal ET sequence|legend=1| 10, 43e, 53, 116, 169de, 285cdef }}
{{Optimal ET sequence|legend=0| 10, 43e, 53, 116, 169de, 285cdef }}


Badness (Smith): 0.027689
Badness (Smith): 0.027689
Line 270: Line 304:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~49/40 = 362.418{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~49/40 = 362.418{{c}}


{{Optimal ET sequence|legend=1| 43, 53, 96, 149d }}
{{Optimal ET sequence|legend=0| 43, 53, 96, 149d }}


Badness (Smith): 0.051806
Badness (Smith): 0.051806
Line 283: Line 317:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/13 = 362.402{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/13 = 362.402{{c}}


{{Optimal ET sequence|legend=1| 43, 53, 96, 149d }}
{{Optimal ET sequence|legend=0| 43, 53, 96, 149d }}


Badness (Smith): 0.029680
Badness (Smith): 0.029680
Line 312: Line 346:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.620{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.620{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58 }}
{{Optimal ET sequence|legend=0| 15, 43, 58 }}


Badness (Smith): 0.033078
Badness (Smith): 0.033078
Line 325: Line 359:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.589{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.589{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58 }}
{{Optimal ET sequence|legend=0| 15, 43, 58 }}


Badness (Smith): 0.022838
Badness (Smith): 0.022838
Line 338: Line 372:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.509{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.509{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58 }}
{{Optimal ET sequence|legend=0| 15, 43, 58 }}


Badness (Smith): 0.022293
Badness (Smith): 0.022293
Line 351: Line 385:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.504{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.504{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58h }}
{{Optimal ET sequence|legend=0| 15, 43, 58h }}


Badness (Smith): 0.018938
Badness (Smith): 0.018938
Line 364: Line 398:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.522{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.522{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58hi }}
{{Optimal ET sequence|legend=0| 15, 43, 58hi }}


Badness (Smith): 0.016581
Badness (Smith): 0.016581
Line 379: Line 413:
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.520{{c}}
Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~11/8 = 558.520{{c}}


{{Optimal ET sequence|legend=1| 15, 43, 58hi }}
{{Optimal ET sequence|legend=0| 15, 43, 58hi }}


Badness (Smith): 0.013762
Badness (Smith): 0.013762
Line 395: Line 429:
Optimal tuning (CTE): ~2 = 1200.000{{c}}, ~5/4 = 384.856{{c}}
Optimal tuning (CTE): ~2 = 1200.000{{c}}, ~5/4 = 384.856{{c}}


{{Optimal ET sequence|legend=1| 25, 53, 184, 237d, 290d, 343dd }}
{{Optimal ET sequence|legend=0| 25, 53, 184, 237d, 290d, 343dd }}


Badness (Sintel): 4.571
Badness (Sintel): 4.571
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