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Compton family: Difference between revisions

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[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~256/243 = 100.000, ~5/4 = 386.314 (~81/80 = 13.686)
* [[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, ~5/4 = 384.884 (~81/80 = 15.116)
* [[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 }}


Line 41: Line 41:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~200/189 = 100.000, ~5/4 = 384.922 (~126/125 = 15.078)
* [[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, ~5/4 = 383.775 (~126/125 = 16.225)
* [[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 }}


Line 58: Line 58:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000, ~5/4 = 384.324 (~100/99 = 15.676)
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.324{{c}} (~100/99 = 15.676{{c}})
* POTE: ~35/33 = 100.000, ~5/4 = 383.266 (~100/99 = 16.734)
* 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, 48dee, 60e, 72 }}
Line 73: Line 73:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000, ~5/4 = 384.685 (~105/104 = 15.315)
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* POTE: ~35/33 = 100.000, ~5/4 = 383.963 (~105/104 = 16.037)
* 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, 48deefff, 60eff, 72, 228f }}
Line 88: Line 88:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~5/4 = 384.685 (~105/104 = 15.315)
* CTE: ~18/17 = 100.000{{c}}, ~5/4 = 384.685{{c}} (~105/104 = 15.315{{c}})
* POTE: ~18/17 = 100.000, ~5/4 = 383.750 (~105/104 = 16.250)
* 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 103: Line 103:


Optimal tunings:  
Optimal tunings:  
* CTE: ~35/33 = 100.000, ~5/4 = 383.552 (~100/99 = 16.448)
* CTE: ~35/33 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* POTE: ~35/33 = 100.000, ~5/4 = 382.612 (~100/99 = 17.388)
* 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 118: Line 118:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~5/4 = 383.552 (~100/99 = 16.448)
* CTE: ~18/17 = 100.000{{c}}, ~5/4 = 383.552{{c}} (~100/99 = 16.448{{c}})
* POTE: ~18/17 = 100.000, ~5/4 = 382.597 (~100/99 = 17.403)
* 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 137: Line 137:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~16/15 = 100.000, ~7/4 = 968.826 (~64/63 = 31.174)
* [[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, ~7/4 = 973.210 (~64/63 = 26.790)
* [[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 }}


Line 154: Line 154:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000, ~7/4 = 973.779 (~64/63 = 26.221)
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 973.779{{c}} (~64/63 = 26.221{{c}})
* POTE: ~16/15 = 100.000, ~7/4 = 977.277 (~64/63 = 22.723)
* 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 169: Line 169:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000, ~7/4 = 972.823 (~64/63 = 27.177)
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 972.823{{c}} (~64/63 = 27.177{{c}})
* POTE: ~16/15 = 100.000, ~7/4 = 972.136 (~64/63 = 27.864)
* 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 184: Line 184:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000, ~7/4 = 961.874 (~64/63 = 38.126)
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.874{{c}} (~64/63 = 38.126{{c}})
* POTE: ~16/15 = 100.000, ~7/4 = 967.224 (~64/63 = 32.776)
* 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 199: Line 199:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000, ~7/4 = 956.375 (~40/39 = 43.625)
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~16/15 = 100.000, ~7/4 = 962.778 (~40/39 = 37.232)
* 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 214: Line 214:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~7/4 = 956.375 (~40/39 = 43.625)
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~18/17 = 100.000, ~7/4 = 960.223 (~40/39 = 39.777)
* 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 229: Line 229:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~7/4 = 956.375 (~40/39 = 43.625)
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 956.375{{c}} (~40/39 = 43.625{{c}})
* POTE: ~18/17 = 100.000, ~7/4 = 959.835 (~40/39 = 40.165)
* 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 244: Line 244:


Optimal tunings:  
Optimal tunings:  
* CTE: ~16/15 = 100.000, ~7/4 = 961.255 (~64/63 = 38.745)
* CTE: ~16/15 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~16/15 = 100.000, ~7/4 = 962.312 (~64/63 = 37.688)
* 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 259: Line 259:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~7/4 = 961.255 (~64/63 = 38.745)
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~18/17 = 100.000, ~7/4 = 961.903 (~64/63 = 38.097)
* 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 274: Line 274:


Optimal tunings:  
Optimal tunings:  
* CTE: ~18/17 = 100.000, ~7/4 = 961.255 (~64/63 = 38.745)
* CTE: ~18/17 = 100.000{{c}}, ~7/4 = 961.255{{c}} (~64/63 = 38.745{{c}})
* POTE: ~18/17 = 100.000, ~7/4 = 961.920 (~64/63 = 38.080)
* 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 291: Line 291:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~16/15 = 1\12, ~11/8 = 551.318 (~33/32 = 48.682)
* [[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 = 1\12, ~11/8 = 565.023 (~55/54 = 34.977)
* [[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 }}


Line 312: Line 312:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~36/35 = 50.000, ~5/4 = 384.226 (~81/80 = 15.774)
* [[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, ~5/4 = 384.033 (~81/80 = 15.967)
* [[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 }}


Line 329: Line 329:


Optimal tunings:  
Optimal tunings:  
* CTE: ~36/35 = 50.000, ~5/4 = 384.226 (~121/120 = 15.774)
* CTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.226{{c}} (~121/120 = 15.774{{c}})
* POTE: ~36/35 = 50.000, ~5/4 = 384.054 (~121/120 = 15.946)
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.054{{c}} (~121/120 = 15.946{{c}})


{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}
{{Optimal ET sequence|legend=0| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }}


Badness (Smith): 0.036248
Badness (Smith): 0.036248
Line 344: Line 344:


Optimal tunings:  
Optimal tunings:  
* CTE: ~36/35 = 50.000, ~5/4 = 385.420 (~121/120 = 14.580)
* CTE: ~36/35 = 50.000{{c}}, ~5/4 = 385.420{{c}} (~121/120 = 14.580{{c}})
* POTE: ~36/35 = 50.000, ~5/4 = 384.652 (~121/120 = 15.348)
* POTE: ~36/35 = 50.000{{c}}, ~5/4 = 384.652{{c}} (~121/120 = 15.348{{c}})


{{Optimal ET sequence|legend=1| 24, 48f, 72, 168df, 240dff }}
{{Optimal ET sequence|legend=0| 24, 48f, 72, 168df, 240dff }}


Badness (Smith): 0.026931
Badness (Smith): 0.026931
Line 365: Line 365:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~49/48 = 33.333, ~5/4 = 386.314 (~81/80 = 13.686)
* [[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, ~5/4 = 384.764 (~81/80 = 15.236)
* [[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 }}


Line 382: Line 382:


Optimal tunings:  
Optimal tunings:  
* CTE: ~49/48 = 33.333, ~5/4 = 385.797 (~81/80 = 14.203)
* CTE: ~49/48 = 33.333{{c}}, ~5/4 = 385.797{{c}} (~81/80 = 14.203{{c}})
* POTE: ~49/48 = 33.333, ~5/4 = 385.150 (~81/80 = 14.850)
* POTE: ~49/48 = 33.333{{c}}, ~5/4 = 385.150{{c}} (~81/80 = 14.850{{c}})


{{Optimal ET sequence|legend=1| 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd }}
{{Optimal ET sequence|legend=0| 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd }}


Badness (Smith): 0.043088
Badness (Smith): 0.043088
Line 399: Line 399:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~100/99 = 16.667, ~13/8 = 840.528 (~325/324 = 7.194)
* [[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, ~13/8 = 837.814 (~364/363 = 4.481)
* [[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 }}


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