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unchanged interval → unchanged-interval
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,160 edits
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 19: Line 19:
* 7- and [[9-odd-limit]] eigenmonzos (unchanged-intervals): 2, 6/5, 5/4
* 7- and [[9-odd-limit]] eigenmonzos (unchanged-intervals): 2, 6/5, 5/4


{{Val list|legend=1| 27, 31, 41, 58, 68, 72, 99, 171, 441, 612, 1966, 2308, 2578, 2749, 3361d }}
{{Optimal ET sequence|legend=1| 27, 31, 41, 58, 68, 72, 99, 171, 441, 612, 1966, 2308, 2578, 2749, 3361d }}


[[Badness]]: 0.0153 × 10<sup>-3</sup>
[[Badness]]: 0.0153 × 10<sup>-3</sup>
Line 43: Line 43:
* [[11-odd-limit]] eigenmonzos (unchanged-intervals): 2, 7/5, 11/8
* [[11-odd-limit]] eigenmonzos (unchanged-intervals): 2, 7/5, 11/8


{{Val list|legend=1| 27e, 31, 41, 58, 72, 130, 202 }}
{{Optimal ET sequence|legend=1| 27e, 31, 41, 58, 72, 130, 202 }}


[[Badness]]: 0.241 × 10<sup>-3</sup>
[[Badness]]: 0.241 × 10<sup>-3</sup>
Line 62: Line 62:
Mapping generators: ~2, ~11/9, ~10/7
Mapping generators: ~2, ~11/9, ~10/7


Vals: {{Val list| 27eff, 31f, 41, 58, 72, 130, 243, 301e, 373e }}
{{Optimal ET sequence|legend=1| 27eff, 31f, 41, 58, 72, 130, 243, 301e, 373e }}


Badness: 0.624 × 10<sup>-3</sup>
Badness: 0.624 × 10<sup>-3</sup>
Line 78: Line 78:
* 17-odd-limit eigenmonzos (unchanged-intervals): 2, 18/17, 6/5
* 17-odd-limit eigenmonzos (unchanged-intervals): 2, 18/17, 6/5


Vals: {{Val list| 27effg, 31fg, 41, 58, 72, 130, 171, 243 }}
{{Optimal ET sequence|legend=1| 27effg, 31fg, 41, 58, 72, 130, 171, 243 }}


Badness: 0.741 × 10<sup>-3</sup>
Badness: 0.741 × 10<sup>-3</sup>
Line 91: Line 91:
Mapping generators: ~2, ~11/9, ~10/7
Mapping generators: ~2, ~11/9, ~10/7


Vals: {{Val list| 27e, 31, 41, 58, 99ef, 157eff }}
{{Optimal ET sequence|legend=1| 27e, 31, 41, 58, 99ef, 157eff }}


Badness: 0.749 × 10<sup>-3</sup>
Badness: 0.749 × 10<sup>-3</sup>
Line 104: Line 104:
Mapping generators: ~2, ~11/9, ~10/7
Mapping generators: ~2, ~11/9, ~10/7


Vals: {{Val list| 27e, 31, 45ef, 58, 72, 103, 130, 233, 363 }}
{{Optimal ET sequence|legend=1| 27e, 31, 45ef, 58, 72, 103, 130, 233, 363 }}


Badness: 0.542 × 10<sup>-3</sup>
Badness: 0.542 × 10<sup>-3</sup>
Line 128: Line 128:
: [[Eigenmonzo]]s (unchanged-intervals): 2, 4/3, 11/10
: [[Eigenmonzo]]s (unchanged-intervals): 2, 4/3, 11/10


{{Val list|legend=1| 27, 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}
{{Optimal ET sequence|legend=1| 27, 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}


[[Badness]]: 0.494 × 10<sup>-3</sup>
[[Badness]]: 0.494 × 10<sup>-3</sup>
Line 139: Line 139:
Mapping: [{{val| 1 1 1 2 5 -1 }}, {{val| 0 2 1 1 0 2 }}, {{val| 0 0 2 1 -3 8 }}]
Mapping: [{{val| 1 1 1 2 5 -1 }}, {{val| 0 2 1 1 0 2 }}, {{val| 0 0 2 1 -3 8 }}]


Vals: {{Val list| 31, 68, 72, 103, 140, 212, 243e, 315ef, 455eef, 770cdeeeff }}
{{Optimal ET sequence|legend=1| 31, 68, 72, 103, 140, 212, 243e, 315ef, 455eef, 770cdeeeff }}


Badness: 0.923 × 10<sup>-3</sup>
Badness: 0.923 × 10<sup>-3</sup>
Line 150: Line 150:
[[Mapping]]: [{{val| 1 1 1 2 -3 }}, {{val| 0 2 1 1 8 }}, {{val| 0 0 2 1 8 }}]
[[Mapping]]: [{{val| 1 1 1 2 -3 }}, {{val| 0 2 1 1 8 }}, {{val| 0 0 2 1 8 }}]


{{Val list|legend=1| 31, 68e, 99e, 130, 239, 270, 670, 940, 1210, 2150c }}
{{Optimal ET sequence|legend=1| 31, 68e, 99e, 130, 239, 270, 670, 940, 1210, 2150c }}


[[Badness]]: 0.640 × 10<sup>-3</sup>
[[Badness]]: 0.640 × 10<sup>-3</sup>
Line 161: Line 161:
Mapping: [{{val| 1 1 1 2 -3 7 }}, {{val| 0 2 1 1 8 -6 }}, {{val| 0 0 2 1 8 -3 }}]
Mapping: [{{val| 1 1 1 2 -3 7 }}, {{val| 0 2 1 1 8 -6 }}, {{val| 0 0 2 1 8 -3 }}]


Vals: {{Val list| 31, 78f, 99e, 109, 130, 239, 270, 571, 701, 841, 971, 1241 }}
{{Optimal ET sequence|legend=1| 31, 78f, 99e, 109, 130, 239, 270, 571, 701, 841, 971, 1241 }}


Badness: 0.830 × 10<sup>-3</sup>
Badness: 0.830 × 10<sup>-3</sup>
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: [[Eigenmonzo]]s (unchanged-intervals): 5/4, 14/11
: [[Eigenmonzo]]s (unchanged-intervals): 5/4, 14/11


{{Val list|legend=1| 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de }}
{{Optimal ET sequence|legend=1| 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de }}


[[Badness]]: 0.166 × 10<sup>-3</sup>
[[Badness]]: 0.166 × 10<sup>-3</sup>
Line 192: Line 192:
Mapping: [{{val| 2 0 1 3 7 -1 }}, {{val| 0 2 1 1 -2 4 }}, {{val| 0 0 2 1 3 2 }}]
Mapping: [{{val| 2 0 1 3 7 -1 }}, {{val| 0 2 1 1 -2 4 }}, {{val| 0 0 2 1 3 2 }}]


Vals: {{Val list| 58, 72, 130, 198, 270, 940, 1210f }}
{{Optimal ET sequence|legend=1| 58, 72, 130, 198, 270, 940, 1210f }}


Badness: 0.433 × 10<sup>-3</sup>
Badness: 0.433 × 10<sup>-3</sup>
Line 212: Line 212:
* [[11-odd-limit]] eigenmonzos (unchanged-intervals): 2, 14/11, 4/3
* [[11-odd-limit]] eigenmonzos (unchanged-intervals): 2, 14/11, 4/3


{{Val list|legend=1| 31, 41, 72, 167, 188, 198, 239, 270, 342, 612, 954, 1566, 3101de, 3443de, 4055de, 4397cdee, 4667dee, 5009cddee }}
{{Optimal ET sequence|legend=1| 31, 41, 72, 167, 188, 198, 239, 270, 342, 612, 954, 1566, 3101de, 3443de, 4055de, 4397cdee, 4667dee, 5009cddee }}


[[Badness]]: 0.170 × 10<sup>-3</sup>
[[Badness]]: 0.170 × 10<sup>-3</sup>
Line 227: Line 227:
Mapping generators: ~2, ~49/40, ~55/42
Mapping generators: ~2, ~49/40, ~55/42


Vals: {{Val list| 31, 41, 72f, 198f, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 }}
{{Optimal ET sequence|legend=1| 31, 41, 72f, 198f, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 }}


Badness: 0.855 × 10<sup>-3</sup>
Badness: 0.855 × 10<sup>-3</sup>
Line 242: Line 242:
Mapping generators: ~2, ~49/40, ~55/42
Mapping generators: ~2, ~49/40, ~55/42


Vals: {{Val list| 13cdf, 31f, 41, 72, 157, 185cf, 198, 270, 581, 851, 1504, 1774f, 2085, 2355f }}
{{Optimal ET sequence|legend=1| 13cdf, 31f, 41, 72, 157, 185cf, 198, 270, 581, 851, 1504, 1774f, 2085, 2355f }}


Badness: 0.581 × 10<sup>-3</sup>
Badness: 0.581 × 10<sup>-3</sup>
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Mapping generators: ~2, ~49/40, ~55/42
Mapping generators: ~2, ~49/40, ~55/42


Vals: {{Val list| 41g, 72, 198g, 239f, 270, 311, 509, 581, 1234, 1815 }}
{{Optimal ET sequence|legend=1| 41g, 72, 198g, 239f, 270, 311, 509, 581, 1234, 1815 }}


Badness: 0.700 × 10<sup>-3</sup>
Badness: 0.700 × 10<sup>-3</sup>
Line 268: Line 268:
Mapping generators: ~2, ~49/40, ~55/42
Mapping generators: ~2, ~49/40, ~55/42


Vals: {{Val list| 41g, 72, 198g, 239f, 270, 311, 581, 1234, 1815 }}
{{Optimal ET sequence|legend=1| 41g, 72, 198g, 239f, 270, 311, 581, 1234, 1815 }}


Badness: 0.692 × 10<sup>-3</sup>
Badness: 0.692 × 10<sup>-3</sup>
Line 281: Line 281:
Mapping generators: ~2, ~49/40, ~55/42
Mapping generators: ~2, ~49/40, ~55/42


Vals: {{Val list| 8bcef, 15bbccdeeff, 23bcf, 31, 72, 103, 167, 198, 270, 571, 643, 913f }}
{{Optimal ET sequence|legend=1| 8bcef, 15bbccdeeff, 23bcf, 31, 72, 103, 167, 198, 270, 571, 643, 913f }}


Badness: 0.601 × 10<sup>-3</sup>
Badness: 0.601 × 10<sup>-3</sup>
Line 296: Line 296:
Mapping generators: ~2, ~49/40, ~17/13
Mapping generators: ~2, ~49/40, ~17/13


Vals: {{Val list| 8bcefg, 15bbccdeeffggg, 23bcfg, 31, 64be, 72, 103, 167, 198g, 239, 270 }}
{{Optimal ET sequence|legend=1| 8bcefg, 15bbccdeeffggg, 23bcfg, 31, 64be, 72, 103, 167, 198g, 239, 270 }}


Badness: 0.829 × 10<sup>-3</sup>
Badness: 0.829 × 10<sup>-3</sup>
Line 307: Line 307:
[[Mapping]]: [{{val| 1 1 5 4 10 }}, {{val| 0 2 3 2 6 }}, {{val| 0 0 -6 -3 -14 }}]
[[Mapping]]: [{{val| 1 1 5 4 10 }}, {{val| 0 2 3 2 6 }}, {{val| 0 0 -6 -3 -14 }}]


{{Val list|legend=1| 27e, 64be, 76e, 93, 103, 130, 233, 243e, 270, 643, 670, 913, 1043, 1313, 1583 }}
{{Optimal ET sequence|legend=1| 27e, 64be, 76e, 93, 103, 130, 233, 243e, 270, 643, 670, 913, 1043, 1313, 1583 }}


[[Badness]]: 1.26 × 10<sup>-3</sup>
[[Badness]]: 1.26 × 10<sup>-3</sup>
Line 318: Line 318:
Mapping: [{{val| 1 1 5 4 10 4 }}, {{val| 0 2 3 2 6 1 }}, {{val| 0 0 -6 -3 -14 -1 }}]
Mapping: [{{val| 1 1 5 4 10 4 }}, {{val| 0 2 3 2 6 1 }}, {{val| 0 0 -6 -3 -14 -1 }}]


Vals: {{Val list| 27e, 37, 64be, 76e, 93, 103, 130, 233, 243e, 270, 643, 913f }}
{{Optimal ET sequence|legend=1| 27e, 37, 64be, 76e, 93, 103, 130, 233, 243e, 270, 643, 913f }}


Badness: 0.738 × 10<sup>-3</sup>
Badness: 0.738 × 10<sup>-3</sup>
Line 329: Line 329:
[[Mapping]]: [{{val| 1 1 3 3 4 }}, {{val| 0 2 3 2 4 }}, {{val| 0 0 -10 -5 -11 }}]
[[Mapping]]: [{{val| 1 1 3 3 4 }}, {{val| 0 2 3 2 4 }}, {{val| 0 0 -10 -5 -11 }}]


{{Val list|legend=1| 45e, 58, 103, 161, 212, 270, 643, 913, 1183e }}
{{Optimal ET sequence|legend=1| 45e, 58, 103, 161, 212, 270, 643, 913, 1183e }}


[[Badness]]: 1.79 × 10<sup>-3</sup>
[[Badness]]: 1.79 × 10<sup>-3</sup>
Line 340: Line 340:
Mapping: [{{val| 1 1 3 3 4 5 }}, {{val| 0 2 3 2 4 3 }}, {{val| 0 0 -10 -5 -11 -14 }}]
Mapping: [{{val| 1 1 3 3 4 5 }}, {{val| 0 2 3 2 4 3 }}, {{val| 0 0 -10 -5 -11 -14 }}]


Vals: {{Val list| 45ef, 58, 103, 161, 212, 270, 643, 913f, 1614ef }} <nowiki>*</nowiki>
{{Optimal ET sequence|legend=1| 45ef, 58, 103, 161, 212, 270, 643, 913f, 1614ef }} <nowiki>*</nowiki>


<nowiki>*</nowiki> [[optimal patent val]]: [[1241edo|1241]]
<nowiki>*</nowiki> [[optimal patent val]]: [[1241edo|1241]]
Line 355: Line 355:
Mapping generators: 27/25, 5/3, 11
Mapping generators: 27/25, 5/3, 11


{{Val list|legend=1| 27, 45, 72, 171, 198, 270, 342, 612, 954, 1323, 1395, 1665, 2007, 2277, 2619, 4284d, 6561dd }}
{{Optimal ET sequence|legend=1| 27, 45, 72, 171, 198, 270, 342, 612, 954, 1323, 1395, 1665, 2007, 2277, 2619, 4284d, 6561dd }}


[[Badness]]: 0.275 × 10<sup>-3</sup>
[[Badness]]: 0.275 × 10<sup>-3</sup>
Line 366: Line 366:
Mapping: [{{val| 9 1 1 12 0 -31 }}, {{val| 0 2 3 2 0 5 }}, {{val| 0 0 0 0 1 1 }}]
Mapping: [{{val| 9 1 1 12 0 -31 }}, {{val| 0 2 3 2 0 5 }}, {{val| 0 0 0 0 1 1 }}]


Vals: {{Val list| 27, 45f, 54cff, 72, 171, 198, 270, 639, 711, 981, 1692e }}
{{Optimal ET sequence|legend=1| 27, 45f, 54cff, 72, 171, 198, 270, 639, 711, 981, 1692e }}


Badness: 0.755 × 10<sup>-3</sup>
Badness: 0.755 × 10<sup>-3</sup>
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