Compton family: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus
- CTE & POTE tunings
Line 20: Line 20:
* [[CWE]]: ~256/243 = 100.0000{{c}}, ~5/4 = 385.3590{{c}} (~81/80 = 14.6410{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{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 }}
Line 49: Line 45:
* [[CWE]]: ~256/243 = 100.0000{{c}}, ~5/4 = 384.1429{{c}} (~126/125 = 15.8571{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{Optimal ET sequence|legend=1| 12, …, 60, 72, 228, 300c, 372bc, 444bc }}
{{Optimal ET sequence|legend=1| 12, …, 60, 72, 228, 300c, 372bc, 444bc }}
Line 68: Line 60:
* WE: ~35/33 = 100.0633{{c}}, ~5/4 = 383.5087{{c}} (~100/99 = 16.7446{{c}})
* WE: ~35/33 = 100.0633{{c}}, ~5/4 = 383.5087{{c}} (~100/99 = 16.7446{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 383.5958{{c}} (~100/99 = 16.4042{{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, …, 60e, 72 }}
{{Optimal ET sequence|legend=0| 12, …, 60e, 72 }}
Line 85: Line 75:
* WE: ~35/33 = 100.0508{{c}}, ~5/4 = 384.1577{{c}} (~100/99 = 16.0454{{c}})
* WE: ~35/33 = 100.0508{{c}}, ~5/4 = 384.1577{{c}} (~100/99 = 16.0454{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 384.1782{{c}} (~100/99 = 15.8218{{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, …, 60eff, 72, 228f }}
{{Optimal ET sequence|legend=0| 12f, …, 60eff, 72, 228f }}
Line 102: Line 90:
* WE: ~18/17 = 100.0658{{c}}, ~5/4 = 384.0024{{c}} (~100/99 = 16.2607{{c}})
* WE: ~18/17 = 100.0658{{c}}, ~5/4 = 384.0024{{c}} (~100/99 = 16.2607{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~5/4 = 383.9647{{c}} (~100/99 = 16.0353{{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 }}
Line 119: Line 105:
* WE: ~35/33 = 100.0926{{c}}, ~5/4 = 382.9660{{c}} (~100/99 = 17.4045{{c}})
* WE: ~35/33 = 100.0926{{c}}, ~5/4 = 382.9660{{c}} (~100/99 = 17.4045{{c}})
* CWE: ~35/33 = 100.0000{{c}}, ~5/4 = 382.7748{{c}} (~100/99 = 17.2252{{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 }}
Line 136: Line 120:
* WE: ~18/17 = 100.0941{{c}}, ~5/4 = 382.9567{{c}} (~100/99 = 17.4796{{c}})
* WE: ~18/17 = 100.0941{{c}}, ~5/4 = 382.9567{{c}} (~100/99 = 17.4796{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~5/4 = 382.7381{{c}} (~100/99 = 17.2619{{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 }}
Line 159: Line 141:
* [[CWE]]: ~16/15 = 100.0000{{c}}, ~7/4 = 972.0971{{c}} (~64/63 = 27.9029{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{Optimal ET sequence|legend=1| 12, 24, 36, 48c, 84c }}
{{Optimal ET sequence|legend=1| 12, 24, 36, 48c, 84c }}
Line 178: Line 156:
* CTE: ~16/15 = 99.8542{{c}}, ~7/4 = 975.8519{{c}} (~64/63 = 22.6896{{c}})
* CTE: ~16/15 = 99.8542{{c}}, ~7/4 = 975.8519{{c}} (~64/63 = 22.6896{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 976.4125{{c}} (~64/63 = 23.5875{{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 }}
Line 195: Line 171:
* CTE: ~16/15 = 99.8791{{c}}, ~7/4 = 970.9614{{c}} (~64/63 = 27.8300{{c}})
* CTE: ~16/15 = 99.8791{{c}}, ~7/4 = 970.9614{{c}} (~64/63 = 27.8300{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 972.2549{{c}} (~64/63 = 27.7451{{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 }}
Line 212: Line 186:
* CTE: ~16/15 = 99.8519{{c}}, ~7/4 = 965.7912{{c}} (~64/63 = 32.7275{{c}})
* CTE: ~16/15 = 99.8519{{c}}, ~7/4 = 965.7912{{c}} (~64/63 = 32.7275{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 965.8666{{c}} (~64/63 = 34.1334{{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 }}
Line 229: Line 201:
* CTE: ~16/15 = 99.8308{{c}}, ~7/4 = 961.1391{{c}} (~40/39 = 37.1694{{c}})
* CTE: ~16/15 = 99.8308{{c}}, ~7/4 = 961.1391{{c}} (~40/39 = 37.1694{{c}})
* POTE: ~16/15 = 100.0000{{c}}, ~7/4 = 961.1435{{c}} (~40/39 = 38.8565{{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 }}
Line 246: Line 216:
* WE: ~18/17 = 99.8958{{c}}, ~7/4 = 959.2226{{c}} (~40/39 = 39.7354{{c}})
* WE: ~18/17 = 99.8958{{c}}, ~7/4 = 959.2226{{c}} (~40/39 = 39.7354{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 959.4216{{c}} (~40/39 = 40.5784{{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 }}
Line 263: Line 231:
* WE: ~18/17 = 99.9058{{c}}, ~7/4 = 958.9307{{c}} (~40/39 = 40.1270{{c}})
* WE: ~18/17 = 99.9058{{c}}, ~7/4 = 958.9307{{c}} (~40/39 = 40.1270{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 959.2303{{c}} (~40/39 = 40.7697{{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 }}
Line 280: Line 246:
* WE: ~18/17 = 99.9301{{c}}, ~7/4 = 961.6396{{c}} (~64/63 = 37.6617{{c}})
* WE: ~18/17 = 99.9301{{c}}, ~7/4 = 961.6396{{c}} (~64/63 = 37.6617{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 962.1413{{c}} (~64/63 = 37.8587{{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 }}
Line 297: Line 261:
* WE: ~18/17 = 99.9556{{c}}, ~7/4 = 961.4763{{c}} (~64/63 = 38.0796{{c}})
* WE: ~18/17 = 99.9556{{c}}, ~7/4 = 961.4763{{c}} (~64/63 = 38.0796{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 961.8075{{c}} (~64/63 = 38.1925{{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 }}
Line 314: Line 276:
* WE: ~18/17 = 99.9545{{c}}, ~7/4 = 961.4829{{c}} (~64/63 = 38.0624{{c}})
* WE: ~18/17 = 99.9545{{c}}, ~7/4 = 961.4829{{c}} (~64/63 = 38.0624{{c}})
* CWE: ~18/17 = 100.0000{{c}}, ~7/4 = 961.8354{{c}} (~64/63 = 38.1646{{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 }}
Line 335: Line 295:
* [[CWE]]: ~16/15 = 100.0000{{c}}, ~11/8 = 562.2258{{c}} (~55/54 = 37.7742{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{Optimal ET sequence|legend=1| 12, 24d, 36d }}
{{Optimal ET sequence|legend=1| 12, 24d, 36d }}
Line 360: Line 316:
* [[CWE]]: ~36/35 = 50.0000{{c}}, ~5/4 = 384.0719{{c}} (~81/80 = 15.9281{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{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 }}
Line 379: Line 331:
* WE: ~36/35 = 50.0301{{c}}, ~5/4 = 384.2848{{c}} (~121/120 = 15.9559{{c}})
* WE: ~36/35 = 50.0301{{c}}, ~5/4 = 384.2848{{c}} (~121/120 = 15.9559{{c}})
* CWE: ~36/35 = 50.0000{{c}}, ~5/4 = 384.0825{{c}} (~121/120 = 15.9175{{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 }}
Line 396: Line 346:
* WE: ~36/35 = 50.0358{{c}}, ~5/4 = 384.9267{{c}} (~121/120 = 15.3594{{c}})
* WE: ~36/35 = 50.0358{{c}}, ~5/4 = 384.9267{{c}} (~121/120 = 15.3594{{c}})
* CWE: ~36/35 = 50.0000{{c}}, ~5/4 = 384.7662{{c}} (~121/120 = 15.2338{{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 }}
Line 421: Line 369:
* [[CWE]]: ~49/48 = 33.3333{{c}}, ~5/4 = 385.1512{{c}} (~81/80 = 14.8488{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


{{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }}
{{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }}
Line 440: Line 384:
* WE: ~49/48 = 33.3504{{c}}, ~5/4 = 384.3474{{c}} (~81/80 = 15.8576{{c}})
* WE: ~49/48 = 33.3504{{c}}, ~5/4 = 384.3474{{c}} (~81/80 = 15.8576{{c}})
* CWE: ~49/48 = 33.333{{c}}, ~5/4 = 384.5541{{c}} (~81/80 = 15.4459{{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 }}
{{Optimal ET sequence|legend=0| 36, 72, 396bd }}
Line 461: Line 403:
* [[CWE]]: ~100/99 = 16.6667{{c}}, ~13/8 = 838.2660{{c}} (~364/363 = 4.9326{{c}})
* [[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 }}
: 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 }}
* [[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 }} -->


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

Revision as of 17:28, 19 September 2025

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The compton family, otherwise known as the aristoxenean family, of temperaments tempers out the Pythagorean comma (ratio: 531441/524288, monzo: [-19 12⟩, and hence the fifths form a closed 12-note circle of fifths, identical to 12edo. While the tuning of the fifth will be that of 12edo, two cents flat, the tuning of the larger primes is not so constrained, and the point of these temperaments is to improve on it.

Compton

Main article: Compton

5-limit compton is also known as aristoxenean. It tempers out the Pythagorean comma and has a period of 1\12, so it is the 12edo circle of fifths with an independent dimension for the harmonic 5. Equivalent generators are 5/4, 6/5, 10/9, 16/15 (the secor), 45/32, 135/128 and most importantly, 81/80. In terms of equal temperaments, it is the 12 & 72 temperament, and 72edo, 84edo or 240edo make for good tunings.

Subgroup: 2.3.5

Comma list: 531441/524288

Mapping: [⟨12 19 0], ⟨0 0 1]]

mapping generators: ~256/243, ~5

Optimal tunings:

  • WE: ~256/243 = 100.0513 ¢, ~5/4 = 385.0800 ¢ (~81/80 = 15.1253 ¢)
error map: ⟨+0.616 -0.980 -0.001]
  • CWE: ~256/243 = 100.0000 ¢, ~5/4 = 385.3590 ¢ (~81/80 = 14.6410 ¢)
error map: ⟨0.000 -1.955 -0.955]

Optimal ET sequence: 12, 48, 60, 72, 84, 156, 240, 396b, 636bbc

Badness (Sintel): 2.22

Septimal compton

Main article: Compton

Septimal compton is also known as waage. In terms of the normal list, compton adds 413343/409600 ([-14 10 -2 1⟩) to the Pythagorean comma; however, it can also be characterized by saying it adds 225/224.

In either the 5- or 7-limit, 240edo is an excellent tuning, with 81/80 coming in at 15 cents exactly. In the 12edo, the major third is sharp by 13.686 cents, and the minor third flat by 15.641 cents; adjusting these down and up by 15 cents puts them in excellent tune.

In terms of the normal comma list, we may add 8019/8000 to get to the 11-limit version of compton, which also adds 441/440. For this 72edo can be recommended as a tuning. In 11-limit compton, intervals of 5 are off by one generator, intervals of 7 are off by two generators, and intervals of 11 are off by 3 generators.

Subgroup: 2.3.5.7

Comma list: 225/224, 250047/250000

Mapping: [⟨12 19 0 -22], ⟨0 0 1 2]]

Optimal tunings:

  • WE: ~256/243 = 100.0579 ¢, ~5/4 = 383.9974 ¢ (~126/125 = 16.2342 ¢)
error map: ⟨+0.695 -0.855 -0.927 +0.674]
  • CWE: ~256/243 = 100.0000 ¢, ~5/4 = 384.1429 ¢ (~126/125 = 15.8571 ¢)
error map: ⟨0.000 -1.955 -2.171 -0.540]

Optimal ET sequence: 12, …, 60, 72, 228, 300c, 372bc, 444bc

Badness (Sintel): 0.903

11-limit

Subgroup: 2.3.5.7.11

Comma list: 225/224, 441/440, 4375/4356

Mapping: [⟨12 19 0 -22 -42], ⟨0 0 1 2 3]]

Optimal tunings:

  • WE: ~35/33 = 100.0633 ¢, ~5/4 = 383.5087 ¢ (~100/99 = 16.7446 ¢)
  • CWE: ~35/33 = 100.0000 ¢, ~5/4 = 383.5958 ¢ (~100/99 = 16.4042 ¢)

Optimal ET sequence: 12, …, 60e, 72

Badness (Sintel): 0.735

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 225/224, 351/350, 364/363, 441/440

Mapping: [⟨12 19 0 -22 -42 -67], ⟨0 0 1 2 3 4]]

Optimal tunings:

  • WE: ~35/33 = 100.0508 ¢, ~5/4 = 384.1577 ¢ (~100/99 = 16.0454 ¢)
  • CWE: ~35/33 = 100.0000 ¢, ~5/4 = 384.1782 ¢ (~100/99 = 15.8218 ¢)

Optimal ET sequence: 12f, …, 60eff, 72, 228f

Badness (Sintel): 0.903

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 221/220, 225/224, 289/288, 351/350, 441/440

Mapping: [⟨12 19 0 -22 -42 -67 49], ⟨0 0 1 2 3 4 0]]

Optimal tunings:

  • WE: ~18/17 = 100.0658 ¢, ~5/4 = 384.0024 ¢ (~100/99 = 16.2607 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~5/4 = 383.9647 ¢ (~100/99 = 16.0353 ¢)

Optimal ET sequence: 12f, 60eff, 72

Badness (Sintel): 0.873

Comptone

Subgroup: 2.3.5.7.11.13

Comma list: 225/224, 325/324, 441/440, 1001/1000

Mapping: [⟨12 19 0 -22 -42 100], ⟨0 0 1 2 3 -2]]

Optimal tunings:

  • WE: ~35/33 = 100.0926 ¢, ~5/4 = 382.9660 ¢ (~100/99 = 17.4045 ¢)
  • CWE: ~35/33 = 100.0000 ¢, ~5/4 = 382.7748 ¢ (~100/99 = 17.2252 ¢)

Optimal ET sequence: 12, 60e, 72, 204cdef, 276cdeff

Badness (Sintel): 1.04

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 225/224, 273/272, 289/288, 325/324, 441/440

Mapping: [⟨12 19 0 -22 -42 100 49], ⟨0 0 1 2 3 -2 0]]

Optimal tunings:

  • WE: ~18/17 = 100.0941 ¢, ~5/4 = 382.9567 ¢ (~100/99 = 17.4796 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~5/4 = 382.7381 ¢ (~100/99 = 17.2619 ¢)

Optimal ET sequence: 12, 60e, 72, 204cdefg, 276cdeffgg

Badness (Sintel): 0.833

Catler

In terms of the normal comma list, catler is characterized by the addition of the schisma, 32805/32768, to the Pythagorean comma, though it can also be characterized as adding 81/80, 128/125 or 648/625. In any event, the 5-limit is exactly the same as the 5-limit of 12edo. Catler can also be characterized as the 12 & 24 temperament. 36edo or 48edo are possible tunings. Possible generators are 36/35, 21/20, 15/14, 8/7, 7/6, 9/7, 7/5, and most importantly, 64/63.

Subgroup: 2.3.5.7

Comma list: 81/80, 128/125

Mapping: [⟨12 19 28 0], ⟨0 0 0 1]]

mapping generators: ~16/15, ~7

Optimal tunings:

  • WE: ~16/15 = 99.8680 ¢, ~7/4 = 971.9257 ¢ (~64/63 = 26.7545 ¢)
error map: ⟨-1.584 -4.463 +9.991 -0.068]
  • CWE: ~16/15 = 100.0000 ¢, ~7/4 = 972.0971 ¢ (~64/63 = 27.9029 ¢)
error map: ⟨0.000 -1.955 +13.686 +3.271]

Optimal ET sequence: 12, 24, 36, 48c, 84c

Badness (Sintel): 1.27

11-limit

Subgroup: 2.3.5.7.11

Comma list: 81/80, 99/98, 128/125

Mapping: [⟨12 19 28 0 -26], ⟨0 0 0 1 2]]

Optimal tunings:

  • CTE: ~16/15 = 99.8542 ¢, ~7/4 = 975.8519 ¢ (~64/63 = 22.6896 ¢)
  • POTE: ~16/15 = 100.0000 ¢, ~7/4 = 976.4125 ¢ (~64/63 = 23.5875 ¢)

Optimal ET sequence: 12, 36e, 48c

Badness (Sintel): 1.92

Catlat

Subgroup: 2.3.5.7.11

Comma list: 81/80, 128/125, 540/539

Mapping: [⟨12 19 28 0 109], ⟨0 0 0 1 -2]]

Optimal tunings:

  • CTE: ~16/15 = 99.8791 ¢, ~7/4 = 970.9614 ¢ (~64/63 = 27.8300 ¢)
  • POTE: ~16/15 = 100.0000 ¢, ~7/4 = 972.2549 ¢ (~64/63 = 27.7451 ¢)

Optimal ET sequence: 12e, 36, 48c, 84c

Badness (Sintel): 2.71

Catnip

Subgroup: 2.3.5.7.11

Comma list: 56/55, 81/80, 128/125

Mapping: [⟨12 19 28 0 8], ⟨0 0 0 1 1]]

Optimal tunings:

  • CTE: ~16/15 = 99.8519 ¢, ~7/4 = 965.7912 ¢ (~64/63 = 32.7275 ¢)
  • POTE: ~16/15 = 100.0000 ¢, ~7/4 = 965.8666 ¢ (~64/63 = 34.1334 ¢)

Optimal ET sequence: 12, 24, 36, 72ce

Badness (Sintel): 1.14

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 56/55, 66/65, 81/80, 105/104

Mapping: [⟨12 19 28 0 8 11], ⟨0 0 0 1 1 1]]

Optimal tunings:

  • CTE: ~16/15 = 99.8308 ¢, ~7/4 = 961.1391 ¢ (~40/39 = 37.1694 ¢)
  • POTE: ~16/15 = 100.0000 ¢, ~7/4 = 961.1435 ¢ (~40/39 = 38.8565 ¢)

Optimal ET sequence: 12f, 24, 36f

Badness (Sintel): 1.18

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 51/50, 56/55, 66/65, 81/80, 105/104

Mapping: [⟨12 19 28 0 8 11 49], ⟨0 0 0 1 1 1 0]]

Optimal tunings:

  • WE: ~18/17 = 99.8958 ¢, ~7/4 = 959.2226 ¢ (~40/39 = 39.7354 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~7/4 = 959.4216 ¢ (~40/39 = 40.5784 ¢)

Optimal ET sequence: 12f, 24, 36f

Badness (Sintel): 1.18

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 51/50, 56/55, 66/65, 76/75, 81/80, 96/95

Mapping: [⟨12 19 28 0 8 11 49 51], ⟨0 0 0 1 1 1 0 0]]

Optimal tunings:

  • WE: ~18/17 = 99.9058 ¢, ~7/4 = 958.9307 ¢ (~40/39 = 40.1270 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~7/4 = 959.2303 ¢ (~40/39 = 40.7697 ¢)

Optimal ET sequence: 12f, 24, 36f

Badness (Sintel): 1.15

Duodecic

Subgroup: 2.3.5.7.11.13

Comma list: 56/55, 81/80, 91/90, 128/125

Mapping: [⟨12 19 28 0 8 78], ⟨0 0 0 1 1 -1]]

Optimal tunings:

  • WE: ~18/17 = 99.9301 ¢, ~7/4 = 961.6396 ¢ (~64/63 = 37.6617 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~7/4 = 962.1413 ¢ (~64/63 = 37.8587 ¢)

Optimal ET sequence: 12, 24, 36

Badness (Sintel): 1.58

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 51/50, 56/55, 81/80, 91/90, 128/125

Mapping:[⟨12 19 28 0 8 78 49], ⟨0 0 0 1 1 -1 0]]

Optimal tunings:

  • WE: ~18/17 = 99.9556 ¢, ~7/4 = 961.4763 ¢ (~64/63 = 38.0796 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~7/4 = 961.8075 ¢ (~64/63 = 38.1925 ¢)

Optimal ET sequence: 12, 24, 36, 60c

Badness (Sintel): 1.40

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 51/50, 56/55, 76/75, 81/80, 91/90, 96/95

Mapping: [⟨12 19 28 0 8 78 49 51], ⟨0 0 0 1 1 -1 0 0]]

Optimal tunings:

  • WE: ~18/17 = 99.9545 ¢, ~7/4 = 961.4829 ¢ (~64/63 = 38.0624 ¢)
  • CWE: ~18/17 = 100.0000 ¢, ~7/4 = 961.8354 ¢ (~64/63 = 38.1646 ¢)

Optimal ET sequence: 12, 24, 36, 60c

Badness (Sintel): 1.27

Duodecim

Subgroup: 2.3.5.7.11

Comma list: 36/35, 50/49, 64/63

Mapping: [⟨12 19 28 34 0], ⟨0 0 0 0 1]]

mapping genereators: ~16/15, ~11

Optimal tunings:

  • WE: ~16/15 = 99.6643 ¢, ~11/8 = 563.1257 ¢ (~55/54 = 34.8599 ¢)
error map: ⟨-4.029 -8.334 +4.285 +19.759 -0.279]
  • CWE: ~16/15 = 100.0000 ¢, ~11/8 = 562.2258 ¢ (~55/54 = 37.7742 ¢)
error map: ⟨0.000 -1.955 +13.686 +31.174 +10.908]

Optimal ET sequence: 12, 24d, 36d

Badness (Sintel): 1.01

Hours

The hours temperament has a period of 1/24 octave and tempers out the cataharry comma (19683/19600) and the mirwomo comma (33075/32768). The name hours was named for the reason that the period is 1/24 octave and there are 24 hours per day.

Subgroup: 2.3.5.7

Comma list: 19683/19600, 33075/32768

Mapping: [⟨24 38 0 123], ⟨0 0 1 -1]]

mapping generators: ~36/35, ~5

Optimal tunings:

  • WE: ~36/35 = 50.0337 ¢, ~5/4 = 384.2919 ¢ (~81/80 = 15.9775 ¢)
error map: ⟨+0.808 -0.675 -0.406 -0.592]
  • CWE: ~36/35 = 50.0000 ¢, ~5/4 = 384.0719 ¢ (~81/80 = 15.9281 ¢)
error map: ⟨0.000 -1.955 -2.242 -2.898]

Optimal ET sequence: 24, 48, 72, 312bd, 384bcdd, 456bcdd, 528bcdd, 600bccdd

Badness (Sintel): 2.94

11-limit

Subgroup: 2.3.5.7.11

Comma list: 243/242, 385/384, 9801/9800

Mapping: [⟨24 38 0 123 83], ⟨0 0 1 -1 0]]

Optimal tunings:

  • WE: ~36/35 = 50.0301 ¢, ~5/4 = 384.2848 ¢ (~121/120 = 15.9559 ¢)
  • CWE: ~36/35 = 50.0000 ¢, ~5/4 = 384.0825 ¢ (~121/120 = 15.9175 ¢)

Optimal ET sequence: 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde

Badness (Sintel): 1.20

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 243/242, 351/350, 364/363, 385/384

Mapping: [⟨24 38 0 123 83 33], ⟨0 0 1 -1 0 1]]

Optimal tunings:

  • WE: ~36/35 = 50.0358 ¢, ~5/4 = 384.9267 ¢ (~121/120 = 15.3594 ¢)
  • CWE: ~36/35 = 50.0000 ¢, ~5/4 = 384.7662 ¢ (~121/120 = 15.2338 ¢)

Optimal ET sequence: 24, 48f, 72, 168df, 240dff

Badness (Sintel): 1.11

Gamelstearn

The gamelstearn temperament has a period of 1/36 octave and tempers out the gamelisma (1029/1024) and the stearnsma (118098/117649).

It used to be named "decades".

Subgroup: 2.3.5.7

Comma list: 1029/1024, 118098/117649

Mapping: [⟨36 57 0 101], ⟨0 0 1 0]]

mapping generators: ~49/48, ~5

Optimal tunings:

  • WE: ~49/48 = 33.3519 ¢, ~5/4 = 384.9781 ¢ (~81/80 = 15.2442 ¢)
error map: ⟨+0.667 -0.899 -0.002 -0.288]
  • CWE: ~49/48 = 33.3333 ¢, ~5/4 = 385.1512 ¢ (~81/80 = 14.8488 ¢)
error map: ⟨0.000 -1.955 -1.162 -2.159]

Optimal ET sequence: 36, 72, 252, 324bd, 396bd

Badness (Sintel): 2.73

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 1029/1024, 4000/3993

Mapping: [⟨36 57 0 101 41], ⟨0 0 1 0 1]]

Optimal tunings:

  • WE: ~49/48 = 33.3504 ¢, ~5/4 = 384.3474 ¢ (~81/80 = 15.8576 ¢)
  • CWE: ~49/48 = 33.333 ¢, ~5/4 = 384.5541 ¢ (~81/80 = 15.4459 ¢)

Optimal ET sequence: 36, 72, 396bd

Badness (Sintel): 1.42

Omicronbeta

Subgroup: 2.3.5.7.11.13

Comma list: 225/224, 243/242, 385/384, 4000/3993

Mapping: [⟨72 114 167 202 249 0], ⟨0 0 0 0 0 1]]

mapping generators: ~100/99, ~13

Optimal tunings:

  • WE: ~100/99 = 16.6768 ¢, ~13/8 = 838.3259 ¢ (~364/363 = 4.4838 ¢)
error map: ⟨+0.733 -0.795 -1.281 -0.104 +1.216 -0.004]
  • CWE: ~100/99 = 16.6667 ¢, ~13/8 = 838.2660 ¢ (~364/363 = 4.9326 ¢)
error map: ⟨0.000 -1.955 -2.980 -2.159 -1.318 -2.262]

Optimal ET sequence: 72, 144, 216c, 288cdf

Badness (Sintel): 1.24

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