Compton family: Difference between revisions

m Units
Switch to Sintel's badness, WE & CWE tunings, per community consensus
Line 16: Line 16:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~256/243 = 100.000{{c}}, ~5/4 = 386.314{{c}} (~81/80 = 13.686{{c}})
* [[WE]]: ~256/243 = 100.0513{{c}}, ~5/4 = 385.0800{{c}} (~81/80 = 15.1253{{c}})
: [[error map]]: {{val| +0.616 -0.980 -0.001 }}
* [[CWE]]: ~256/243 = 100.0000{{c}}, ~5/4 = 385.3590{{c}} (~81/80 = 14.6410{{c}})
: error map: {{val| 0.000 -1.955 -0.955 }}
<!-- * [[CTE]]: ~256/243 = 100.000{{c}}, ~5/4 = 386.314{{c}} (~81/80 = 13.686{{c}})
: [[error map]]: {{val| 0.000 -1.955 0.000 }}
: [[error map]]: {{val| 0.000 -1.955 0.000 }}
* [[POTE]]: ~256/243 = 100.000{{c}}, ~5/4 = 384.884{{c}} (~81/80 = 15.116{{c}})
* [[POTE]]: ~256/243 = 100.000{{c}}, ~5/4 = 384.884{{c}} (~81/80 = 15.116{{c}})
: error map: {{val| 0.000 -1.955 -1.431 }}
: error map: {{val| 0.000 -1.955 -1.431 }} -->


{{Optimal ET sequence|legend=1| 12, 48, 60, 72, 84, 156, 240, 396b, 636bbc }}
{{Optimal ET sequence|legend=1| 12, 48, 60, 72, 84, 156, 240, 396b, 636bbc }}


[[Badness]] (Smith): 0.094494
[[Badness]] (Sintel): 2.22


== Septimal compton ==
== Septimal compton ==
Line 41: Line 45:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~200/189 = 100.000{{c}}, ~5/4 = 384.922{{c}} (~126/125 = 15.078{{c}})
* [[WE]]: ~256/243 = 100.0579{{c}}, ~5/4 = 383.9974{{c}} (~126/125 = 16.2342{{c}})
: [[error map]]: {{val| +0.695 -0.855 -0.927 +0.674 }}
* [[CWE]]: ~256/243 = 100.0000{{c}}, ~5/4 = 384.1429{{c}} (~126/125 = 15.8571{{c}})
: error map: {{val| 0.000 -1.955 -2.171 -0.540 }}
<!-- * [[CTE]]: ~200/189 = 100.000{{c}}, ~5/4 = 384.922{{c}} (~126/125 = 15.078{{c}})
: [[error map]]: {{val| 0.000 -1.955 -1.392 -1.017 }}
: [[error map]]: {{val| 0.000 -1.955 -1.392 -1.017 }}
* [[POTE]]: ~200/189 = 100.000{{c}}, ~5/4 = 383.775{{c}} (~126/125 = 16.225{{c}})
* [[POTE]]: ~200/189 = 100.000{{c}}, ~5/4 = 383.775{{c}} (~126/125 = 16.225{{c}})
: error map: {{val| 0.000 -1.955 -2.538 -1.275 }}
: error map: {{val| 0.000 -1.955 -2.538 -1.275 }} -->


{{Optimal ET sequence|legend=1| 12, 48d, 60, 72, 228, 300c, 372bc, 444bc }}
{{Optimal ET sequence|legend=1| 12, , 60, 72, 228, 300c, 372bc, 444bc }}


[[Badness]] (Smith): 0.035686
[[Badness]] (Sintel): 0.903


=== 11-limit ===
=== 11-limit ===
Line 58: Line 66:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.324{{c}} (~100/99 = 15.676{{c}})
* WE: ~35/33 = 100.0633{{c}}, ~5/4 = 383.5087{{c}} (~100/99 = 16.7446{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.266{{c}} (~100/99 = 16.734{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 383.5958{{c}} (~100/99 = 16.4042{{c}})
<!-- * CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.324{{c}} (~100/99 = 15.676{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.266{{c}} (~100/99 = 16.734{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 48dee, 60e, 72 }}
{{Optimal ET sequence|legend=0| 12, , 60e, 72 }}


Badness (Smith): 0.022235
Badness (Sintel): 0.735


==== 13-limit ====
==== 13-limit ====
Line 73: Line 83:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* WE: ~35/33 = 100.0508{{c}}, ~5/4 = 384.1577{{c}} (~100/99 = 16.0454{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.963{{c}} (~105/104 = 16.037{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 384.1782{{c}} (~100/99 = 15.8218{{c}})
<!-- * CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.963{{c}} (~105/104 = 16.037{{c}}) -->


{{Optimal ET sequence|legend=0| 12f, 48deefff, 60eff, 72, 228f }}
{{Optimal ET sequence|legend=0| 12f, , 60eff, 72, 228f }}


Badness (Smith): 0.021852
Badness (Sintel): 0.903


===== 17-limit =====
===== 17-limit =====
Line 88: Line 100:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* WE: ~18/17 = 100.0658{{c}}, ~5/4 = 384.0024{{c}} (~100/99 = 16.2607{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~5/4 = 383.750{{c}} (~105/104 = 16.250{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~5/4 = 383.9647{{c}} (~100/99 = 16.0353{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~5/4 = 383.750{{c}} (~105/104 = 16.250{{c}}) -->


{{Optimal ET sequence|legend=0| 12f, 60eff, 72 }}
{{Optimal ET sequence|legend=0| 12f, 60eff, 72 }}


Badness (Smith): 0.017131
Badness (Sintel): 0.873


==== Comptone ====
==== Comptone ====
Line 103: Line 117:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* WE: ~35/33 = 100.0926{{c}}, ~5/4 = 382.9660{{c}} (~100/99 = 17.4045{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 382.612{{c}} (~100/99 = 17.388{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 382.7748{{c}} (~100/99 = 17.2252{{c}})
<!-- * CTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* POTE: ~35/33 = 100.000{{c}}, ~5/4 = 382.612{{c}} (~100/99 = 17.388{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 60e, 72, 204cdef, 276cdeff }}
{{Optimal ET sequence|legend=0| 12, 60e, 72, 204cdef, 276cdeff }}


Badness (Smith): 0.025144
Badness (Sintel): 1.04


===== 17-limit =====
===== 17-limit =====
Line 118: Line 134:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* WE: ~18/17 = 100.0941{{c}}, ~5/4 = 382.9567{{c}} (~100/99 = 17.4796{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~5/4 = 382.597{{c}} (~100/99 = 17.403{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~5/4 = 382.7381{{c}} (~100/99 = 17.2619{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~5/4 = 382.597{{c}} (~100/99 = 17.403{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 60e, 72, 204cdefg, 276cdeffgg }}
{{Optimal ET sequence|legend=0| 12, 60e, 72, 204cdefg, 276cdeffgg }}


Badness (Smith): 0.016361
Badness (Sintel): 0.833


== Catler ==
== Catler ==
Line 137: Line 155:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~16/15 = 100.000{{c}}, ~7/4 = 968.826{{c}} (~64/63 = 31.174{{c}})
* [[WE]]: ~16/15 = 99.8680{{c}}, ~7/4 = 971.9257{{c}} (~64/63 = 26.7545{{c}})
: [[error map]]: {{val| -1.584 -4.463 +9.991 -0.068 }}
* [[CWE]]: ~16/15 = 100.0000{{c}}, ~7/4 = 972.0971{{c}} (~64/63 = 27.9029{{c}})
: error map: {{val| 0.000 -1.955 +13.686 +3.271 }}
<!-- * [[CTE]]: ~16/15 = 100.000{{c}}, ~7/4 = 968.826{{c}} (~64/63 = 31.174{{c}})
: [[error map]]: {{val| 0.000 -1.955 +13.686 0.000 }}
: [[error map]]: {{val| 0.000 -1.955 +13.686 0.000 }}
* [[POTE]]: ~16/15 = 100.000{{c}}, ~7/4 = 973.210{{c}} (~64/63 = 26.790{{c}})
* [[POTE]]: ~16/15 = 100.000{{c}}, ~7/4 = 973.210{{c}} (~64/63 = 26.790{{c}})
: error map: {{val| 0.000 -1.955 +13.686 +4.384 }}
: error map: {{val| 0.000 -1.955 +13.686 +4.384 }} -->


{{Optimal ET sequence|legend=1| 12, 24, 36, 48c, 84c }}
{{Optimal ET sequence|legend=1| 12, 24, 36, 48c, 84c }}


[[Badness]] (Smith): 0.050297
[[Badness]] (Sintel): 1.27


=== 11-limit ===
=== 11-limit ===
Line 154: Line 176:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 973.779{{c}} (~64/63 = 26.221{{c}})
* CTE: ~16/15 = 99.8542{{c}}, ~7/4 = 975.8519{{c}} (~64/63 = 22.6896{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 977.277{{c}} (~64/63 = 22.723{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 976.4125{{c}} (~64/63 = 23.5875{{c}})
<!-- * CTE: ~16/15 = 100.000{{c}}, ~7/4 = 973.779{{c}} (~64/63 = 26.221{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 977.277{{c}} (~64/63 = 22.723{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 36e, 48c }}
{{Optimal ET sequence|legend=0| 12, 36e, 48c }}


Badness (Smith): 0.058213
Badness (Sintel): 1.92


=== Catlat ===
=== Catlat ===
Line 169: Line 193:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 972.823{{c}} (~64/63 = 27.177{{c}})
* CTE: ~16/15 = 99.8791{{c}}, ~7/4 = 970.9614{{c}} (~64/63 = 27.8300{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 972.136{{c}} (~64/63 = 27.864{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 972.2549{{c}} (~64/63 = 27.7451{{c}})
<!-- * CTE: ~16/15 = 100.000{{c}}, ~7/4 = 972.823{{c}} (~64/63 = 27.177{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 972.136{{c}} (~64/63 = 27.864{{c}}) -->


{{Optimal ET sequence|legend=0| 12e, 36, 48c, 84c }}
{{Optimal ET sequence|legend=0| 12e, 36, 48c, 84c }}


Badness (Smith): 0.081909
Badness (Sintel): 2.71


=== Catnip ===
=== Catnip ===
Line 184: Line 210:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.874{{c}} (~64/63 = 38.126{{c}})
* CTE: ~16/15 = 99.8519{{c}}, ~7/4 = 965.7912{{c}} (~64/63 = 32.7275{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 967.224{{c}} (~64/63 = 32.776{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 965.8666{{c}} (~64/63 = 34.1334{{c}})
<!-- * CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.874{{c}} (~64/63 = 38.126{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 967.224{{c}} (~64/63 = 32.776{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 24, 36, 72ce }}
{{Optimal ET sequence|legend=0| 12, 24, 36, 72ce }}


Badness (Smith): 0.034478
Badness (Sintel): 1.14


==== 13-limit ====
==== 13-limit ====
Line 199: Line 227:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* CTE: ~16/15 = 99.8308{{c}}, ~7/4 = 961.1391{{c}} (~40/39 = 37.1694{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 962.778{{c}} (~40/39 = 37.232{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 961.1435{{c}} (~40/39 = 38.8565{{c}})
<!-- * CTE: ~16/15 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 962.778{{c}} (~40/39 = 37.232{{c}}) -->


{{Optimal ET sequence|legend=0| 12f, 24, 36f }}
{{Optimal ET sequence|legend=0| 12f, 24, 36f }}


Badness (Smith): 0.028363
Badness (Sintel): 1.18


===== 17-limit =====
===== 17-limit =====
Line 214: Line 244:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* WE: ~18/17 = 99.8958{{c}}, ~7/4 = 959.2226{{c}} (~40/39 = 39.7354{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 960.223{{c}} (~40/39 = 39.777{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 959.4216{{c}} (~40/39 = 40.5784{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 960.223{{c}} (~40/39 = 39.777{{c}}) -->


{{Optimal ET sequence|legend=0| 12f, 24, 36f }}
{{Optimal ET sequence|legend=0| 12f, 24, 36f }}


Badness (Smith): 0.023246
Badness (Sintel): 1.18


===== 19-limit =====
===== 19-limit =====
Line 229: Line 261:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* WE: ~18/17 = 99.9058{{c}}, ~7/4 = 958.9307{{c}} (~40/39 = 40.1270{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 959.835{{c}} (~40/39 = 40.165{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 959.2303{{c}} (~40/39 = 40.7697{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 959.835{{c}} (~40/39 = 40.165{{c}}) -->


{{Optimal ET sequence|legend=0| 12f, 24, 36f }}
{{Optimal ET sequence|legend=0| 12f, 24, 36f }}


Badness (Smith): 0.018985
Badness (Sintel): 1.15


==== Duodecic ====
==== Duodecic ====
Line 244: Line 278:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* WE: ~18/17 = 99.9301{{c}}, ~7/4 = 961.6396{{c}} (~64/63 = 37.6617{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 962.312{{c}} (~64/63 = 37.688{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 962.1413{{c}} (~64/63 = 37.8587{{c}})
<!-- * CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~16/15 = 100.000{{c}}, ~7/4 = 962.312{{c}} (~64/63 = 37.688{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 24, 36 }}
{{Optimal ET sequence|legend=0| 12, 24, 36 }}


Badness (Smith): 0.038307
Badness (Sintel): 1.58


===== 17-limit =====
===== 17-limit =====
Line 259: Line 295:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* WE: ~18/17 = 99.9556{{c}}, ~7/4 = 961.4763{{c}} (~64/63 = 38.0796{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.903{{c}} (~64/63 = 38.097{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 961.8075{{c}} (~64/63 = 38.1925{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.903{{c}} (~64/63 = 38.097{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 24, 36, 60c }}
{{Optimal ET sequence|legend=0| 12, 24, 36, 60c }}


Badness (Smith): 0.027487
Badness (Sintel): 1.40


===== 19-limit =====
===== 19-limit =====
Line 274: Line 312:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* WE: ~18/17 = 99.9545{{c}}, ~7/4 = 961.4829{{c}} (~64/63 = 38.0624{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.920{{c}} (~64/63 = 38.080{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 961.8354{{c}} (~64/63 = 38.1646{{c}})
<!-- * CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.920{{c}} (~64/63 = 38.080{{c}}) -->


{{Optimal ET sequence|legend=0| 12, 24, 36, 60c }}
{{Optimal ET sequence|legend=0| 12, 24, 36, 60c }}


Badness (Smith): 0.020939
Badness (Sintel): 1.27


== Duodecim ==
== Duodecim ==
Line 291: Line 331:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~16/15 = 100.000{{c}}, ~11/8 = 551.318{{c}} (~33/32 = 48.682{{c}})
* [[WE]]: ~16/15 = 99.6643{{c}}, ~11/8 = 563.1257{{c}} (~55/54 = 34.8599{{c}})
: [[error map]]: {{val| -4.029 -8.334 +4.285 +19.759 -0.279 }}
* [[CWE]]: ~16/15 = 100.0000{{c}}, ~11/8 = 562.2258{{c}} (~55/54 = 37.7742{{c}})
: error map: {{val| 0.000 -1.955 +13.686 +31.174 +10.908 }}
<!-- * [[CTE]]: ~16/15 = 100.000{{c}}, ~11/8 = 551.318{{c}} (~33/32 = 48.682{{c}})
: [[error map]]: {{val| 0.000 -1.955 +13.686 +31.174 0.000 }}
: [[error map]]: {{val| 0.000 -1.955 +13.686 +31.174 0.000 }}
* [[POTE]]: ~16/15 = 100.000{{c}}, ~11/8 = 565.023{{c}} (~55/54 = 34.977{{c}})
* [[POTE]]: ~16/15 = 100.000{{c}}, ~11/8 = 565.023{{c}} (~55/54 = 34.977{{c}})
: error map: {{val| 0.000 -1.955 +13.686 +31.174 +13.705 }}
: error map: {{val| 0.000 -1.955 +13.686 +31.174 +13.705 }} -->


{{Optimal ET sequence|legend=1| 12, 24d, 36d }}
{{Optimal ET sequence|legend=1| 12, 24d, 36d }}


[[Badness]] (Smith): 0.030536
[[Badness]] (Sintel): 1.01


== Hours ==
== Hours ==
Line 312: Line 356:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~36/35 = 50.000{{c}}, ~5/4 = 384.226{{c}} (~81/80 = 15.774{{c}})
* [[WE]]: ~36/35 = 50.0337{{c}}, ~5/4 = 384.2919{{c}} (~81/80 = 15.9775{{c}})
: [[error map]]: {{val| +0.808 -0.675 -0.406 -0.592 }}
* [[CWE]]: ~36/35 = 50.0000{{c}}, ~5/4 = 384.0719{{c}} (~81/80 = 15.9281{{c}})
: error map: {{val| 0.000 -1.955 -2.242 -2.898 }}
<!-- * [[CTE]]: ~36/35 = 50.000{{c}}, ~5/4 = 384.226{{c}} (~81/80 = 15.774{{c}})
: [[error map]]: {{val| 0.000 -1.955 -2.088 -3.052 }}
: [[error map]]: {{val| 0.000 -1.955 -2.088 -3.052 }}
* [[POTE]]: ~36/35 = 50.000{{c}}, ~5/4 = 384.033{{c}} (~81/80 = 15.967{{c}})
* [[POTE]]: ~36/35 = 50.000{{c}}, ~5/4 = 384.033{{c}} (~81/80 = 15.967{{c}})
: error map: {{val| 0.000 -1.955 -2.280 -2.859 }}
: error map: {{val| 0.000 -1.955 -2.280 -2.859 }} -->


{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdd, 528bcdd, 600bccdd }}
{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdd, 528bcdd, 600bccdd }}


[[Badness]] (Smith): 0.116091
[[Badness]] (Sintel): 2.94


=== 11-limit ===
=== 11-limit ===
Line 329: Line 377:


Optimal tunings:  
Optimal tunings:  
* CTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.226{{c}} (~121/120 = 15.774{{c}})
* WE: ~36/35 = 50.0301{{c}}, ~5/4 = 384.2848{{c}} (~121/120 = 15.9559{{c}})
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.054{{c}} (~121/120 = 15.946{{c}})
* CWE: ~36/35 = 50.0000{{c}}, ~5/4 = 384.0825{{c}} (~121/120 = 15.9175{{c}})
<!-- * CTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.226{{c}} (~121/120 = 15.774{{c}})
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.054{{c}} (~121/120 = 15.946{{c}}) -->


{{Optimal ET sequence|legend=0| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}
{{Optimal ET sequence|legend=0| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}


Badness (Smith): 0.036248
Badness (Sintel): 1.20


=== 13-limit ===
=== 13-limit ===
Line 344: Line 394:


Optimal tunings:  
Optimal tunings:  
* CTE: ~36/35 = 50.000{{c}}, ~5/4 = 385.420{{c}} (~121/120 = 14.580{{c}})
* WE: ~36/35 = 50.0358{{c}}, ~5/4 = 384.9267{{c}} (~121/120 = 15.3594{{c}})
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.652{{c}} (~121/120 = 15.348{{c}})
* CWE: ~36/35 = 50.0000{{c}}, ~5/4 = 384.7662{{c}} (~121/120 = 15.2338{{c}})
<!-- * CTE: ~36/35 = 50.000{{c}}, ~5/4 = 385.420{{c}} (~121/120 = 14.580{{c}})
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.652{{c}} (~121/120 = 15.348{{c}}) -->


{{Optimal ET sequence|legend=0| 24, 48f, 72, 168df, 240dff }}
{{Optimal ET sequence|legend=0| 24, 48f, 72, 168df, 240dff }}


Badness (Smith): 0.026931
Badness (Sintel): 1.11


== Gamelstearn ==
== Gamelstearn ==
Line 365: Line 417:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~49/48 = 33.333{{c}}, ~5/4 = 386.314{{c}} (~81/80 = 13.686{{c}})
* [[WE]]: ~49/48 = 33.3519{{c}}, ~5/4 = 384.9781{{c}} (~81/80 = 15.2442{{c}})
: [[error map]]: {{val| +0.667 -0.899 -0.002 -0.288 }}
* [[CWE]]: ~49/48 = 33.3333{{c}}, ~5/4 = 385.1512{{c}} (~81/80 = 14.8488{{c}})
: error map: {{val| 0.000 -1.955 -1.162 -2.159 }}
<!-- * [[CTE]]: ~49/48 = 33.333{{c}}, ~5/4 = 386.314{{c}} (~81/80 = 13.686{{c}})
: [[error map]]: {{val| 0.000 -1.955 0.000 -2.159 }}
: [[error map]]: {{val| 0.000 -1.955 0.000 -2.159 }}
* [[POTE]]: ~49/48 = 33.333{{c}}, ~5/4 = 384.764{{c}} (~81/80 = 15.236{{c}})
* [[POTE]]: ~49/48 = 33.333{{c}}, ~5/4 = 384.764{{c}} (~81/80 = 15.236{{c}})
: error map: {{val| 0.000 -1.955 -1.549 -2.159 }}
: error map: {{val| 0.000 -1.955 -1.549 -2.159 }} -->


{{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }}
{{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }}


[[Badness]] (Smith): 0.108016
[[Badness]] (Sintel): 2.73


=== 11-limit ===
=== 11-limit ===
Line 382: Line 438:


Optimal tunings:  
Optimal tunings:  
* CTE: ~49/48 = 33.333{{c}}, ~5/4 = 385.797{{c}} (~81/80 = 14.203{{c}})
* WE: ~49/48 = 33.3504{{c}}, ~5/4 = 384.3474{{c}} (~81/80 = 15.8576{{c}})
* POTE: ~49/48 = 33.333{{c}}, ~5/4 = 385.150{{c}} (~81/80 = 14.850{{c}})
* CWE: ~49/48 = 33.333{{c}}, ~5/4 = 384.5541{{c}} (~81/80 = 15.4459{{c}})
<!-- * CTE: ~49/48 = 33.333{{c}}, ~5/4 = 385.797{{c}} (~81/80 = 14.203{{c}})
* POTE: ~49/48 = 33.333{{c}}, ~5/4 = 384.150{{c}} (~81/80 = 15.850{{c}}) -->


{{Optimal ET sequence|legend=0| 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd }}
{{Optimal ET sequence|legend=0| 36, 72, 396bd }}


Badness (Smith): 0.043088
Badness (Sintel): 1.42


== Omicronbeta ==
== Omicronbeta ==
Line 399: Line 457:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~100/99 = 16.667{{c}}, ~13/8 = 840.528{{c}} (~325/324 = 7.194{{c}})
* [[WE]]: ~100/99 = 16.6768{{c}}, ~13/8 = 838.3259{{c}} (~364/363 = 4.4838{{c}})
: [[error map]]: {{val| +0.733 -0.795 -1.281 -0.104 +1.216 -0.004 }}
* [[CWE]]: ~100/99 = 16.6667{{c}}, ~13/8 = 838.2660{{c}} (~364/363 = 4.9326{{c}})
: error map: {{val| 0.000 -1.955 -2.980 -2.159 -1.318 -2.262 }}
<!-- * [[CTE]]: ~100/99 = 16.667{{c}}, ~13/8 = 840.528{{c}} (~325/324 = 7.194{{c}})
: [[error map]]: {{val| 0.000 -1.955 -2.980 -2.159 -1.318 0.000 }}
: [[error map]]: {{val| 0.000 -1.955 -2.980 -2.159 -1.318 0.000 }}
* [[POTE]]: ~100/99 = 16.667{{c}}, ~13/8 = 837.814{{c}} (~364/363 = 4.481{{c}})
* [[POTE]]: ~100/99 = 16.667{{c}}, ~13/8 = 837.814{{c}} (~364/363 = 4.481{{c}})
: error map: {{val| 0.000 -1.955 -2.980 -2.159 -1.318 -2.713 }}
: error map: {{val| 0.000 -1.955 -2.980 -2.159 -1.318 -2.713 }} -->


{{Optimal ET sequence|legend=1| 72, 144, 216c, 288cdf }}
{{Optimal ET sequence|legend=1| 72, 144, 216c, 288cdf }}


[[Badness]] (Smith): 0.029956
[[Badness]] (Sintel): 1.24


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