User:Xenllium: Difference between revisions

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'''[[Tricot family #Trident|Trident]] (53 & 229)'''

'''7-limit'''

~~Commas~~: 6144/6125, 14348907/14336000~~ ~~

Comma list: 6144/6125, 14348907/14336000

~~POTE generator: ~4096/2835 = 634.048 ~~

Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]

~~Map~~: [~~<~~1 0 -13 25|~~, <~~0 3 29 -42|]

POTE generator: ~4096/2835 = 634.048

~~EDOs~~: 53, 176, 229, 282, 511~~ ~~

Vals: 53, 176, 229, 282, 511

Badness: 0.101694

'''11-limit'''

~~Commas~~: 3388/3375, 6144/6125, 8019/8000~~ ~~

Comma list: 3388/3375, 6144/6125, 8019/8000

~~POTE generator: ~231/160 = 634.067 ~~

Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]

~~Map~~: [~~<~~1 0 -13 25 -33|~~, <~~0 3 29 -42 69|]

POTE generator: ~231/160 = 634.067

~~EDOs~~: 53, 176, 229~~ ~~

Vals: 53, 176, 229

Badness: 0.074272

'''13-limit'''

Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125

Mapping: [{{val|1 0 -13 25 -33 0}}, {{val|0 3 29 -42 69 7}}]

POTE generator: ~13/9 = 634.065

Vals: 53, 176, 229

Badness: 0.046593

'''[[Tricot family #Trillium|Trillium]] (53 & 441)'''

'''7-limit'''

~~Commas~~: 4375/4374, 1099511627776/1098337086315~~ ~~

Comma list: 4375/4374, 1099511627776/1098337086315

~~POTE generator: ~23625/16384 = 634.012 ~~

Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]

~~Map~~: [~~<~~1 0 -13 53|~~, <~~0 3 29 -95|]

POTE generator: ~23625/16384 = 634.012

~~EDOs~~: 53, 441, 494, 935, 1376, 3193, 4569~~ ~~

Vals: 53, 441, 494, 935, 1376, 3193, 4569

Badness: 0.030852

'''11-limit'''

~~Commas~~: 4375/4374, 131072/130977, 759375/758912~~ ~~

Comma list: 4375/4374, 131072/130977, 759375/758912

~~POTE generator: ~3888/2695 = 634.009 ~~

Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]

~~Map~~: [~~<~~1 0 -13 53 -89|~~, <~~0 3 29 -95 175|]

POTE generator: ~3888/2695 = 634.009

~~EDOs~~: 53, 441, 494, 935, 1429~~ ~~

Vals: 53, 441, 494, 935, 1429

Badness: 0.046758

'''13-limit'''

Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078

Mapping: [{{val|1 0 -13 53 -89 -28}}, {{val|0 3 29 -95 175 60}}]

POTE generator: ~75/52 = 634.010

Vals: 53, 441, 494, 935, 1429

Badness: 0.019393

'''[[Tricot family #Trillium|Pseudotrillium]] (53 & 388)'''

'''11-limit'''

~~Commas~~: 4375/4374, 5632/5625, 4108797/4096000~~ ~~

Comma list: 4375/4374, 5632/5625, 4108797/4096000

~~POTE generator: ~231/160 = 634.019 ~~

Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]

~~Map~~: [~~<~~1 0 -13 53 -61|~~, <~~0 3 29 -95 122|]

POTE generator: ~231/160 = 634.019

~~EDOs~~: 53, 335, 388~~ ~~

Vals: 53, 335, 388

Badness: 0.111931

'''13-limit'''

Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374

Mapping: [{{val|1 0 -13 53 -61 -28}}, {{val|0 3 29 -95 122 60}}]

POTE generator: ~75/52 = 634.018

Vals: 53, 335, 388

Badness: 0.054837

'''[[Tricot family #Tritricot|Tritricot]] (159 & 282)'''

'''7-limit'''

~~Commas~~: 250047/250000, 11785390260224/11767896353375~~ ~~

Comma list: 250047/250000, 11785390260224/11767896353375

~~POTE generator: ~100352/91125 = 165.984 ~~

Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]

~~Map~~: [~~<~~3 6 19 30|~~, <~~0 -3 -29 -52|]

POTE generator: ~100352/91125 = 165.984

~~EDOs~~: 159, 282, 441, 2487, 2928, 3369~~ ~~

Vals: 159, 282, 441, 2487, 2928, 3369

Badness: 0.086081

'''11-limit'''

~~Commas~~: 4000/3993, 166698/166375, 200704/200475~~ ~~

Comma list: 4000/3993, 166698/166375, 200704/200475

~~POTE generator: ~11/10 = 165.984 ~~

Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]

~~Map~~: [~~<~~3 6 19 30 22|~~, <~~0 -3 -29 -52 -28|]

POTE generator: ~11/10 = 165.984

~~EDOs~~: 159, 282, 441~~ ~~

Vals: 159, 282, 441

Badness: 0.074002

'''13-limit'''

Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875

Mapping: [{{val|3 6 19 30 22 36}}, {{val|0 -3 -29 -52 -28 -60}}]

POTE generator: ~11/10 = 165.984

Vals: 159, 282, 441

Badness: 0.035641

'''17-limit'''

Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619

Mapping: [{{val|3 6 19 30 22 36 16}}, {{val|0 -3 -29 -52 -28 -60 -9}}]

POTE generator: ~11/10 = 165.980

Vals: 159, 282, 441

Badness: 0.025972

===Proposed on 21 March 2021===

@@ Line 220: / Line 220: @@
 '''<font style="font-size: 1.35em">[[Tricot family #Trident|Trident]] (53 &amp; 229)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 6144/6125, 14348907/14336000<br><br>
+Comma list: 6144/6125, 14348907/14336000<br>
-POTE generator: ~4096/2835 = 634.048<br><br>
+Mapping: [{{val|1 0 -13 25}}, {{val|0 3 29 -42}}]<br>
-Map: [&lt;1 0 -13 25|, &lt;0 3 29 -42|]<br><br>
+POTE generator: ~4096/2835 = 634.048<br>
-EDOs: 53, 176, 229, 282, 511<br><br>
+Vals: 53, 176, 229, 282, 511<br>
 Badness: 0.101694<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 3388/3375, 6144/6125, 8019/8000<br><br>
+Comma list: 3388/3375, 6144/6125, 8019/8000<br>
-POTE generator: ~231/160 = 634.067<br><br>
+Mapping: [{{val|1 0 -13 25 -33}}, {{val|0 3 29 -42 69}}]<br>
-Map: [&lt;1 0 -13 25 -33|, &lt;0 3 29 -42 69|]<br><br>
+POTE generator: ~231/160 = 634.067<br>
-EDOs: 53, 176, 229<br><br>
+Vals: 53, 176, 229<br>
 Badness: 0.074272<br><br>
+'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+Comma list: 351/350, 2080/2079, 2197/2187, 3146/3125<br>
+Mapping: [{{val|1 0 -13 25 -33 0}}, {{val|0 3 29 -42 69 7}}]<br>
+POTE generator: ~13/9 = 634.065<br>
+Vals: 53, 176, 229<br>
+Badness: 0.046593<br><br>
 '''<font style="font-size: 1.35em">[[Tricot family #Trillium|Trillium]] (53 &amp; 441)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 4375/4374, 1099511627776/1098337086315<br><br>
+Comma list: 4375/4374, 1099511627776/1098337086315<br>
-POTE generator: ~23625/16384 = 634.012<br><br>
+Mapping: [{{val|1 0 -13 53}}, {{val|0 3 29 -95}}]<br>
-Map: [&lt;1 0 -13 53|, &lt;0 3 29 -95|]<br><br>
+POTE generator: ~23625/16384 = 634.012<br>
-EDOs: 53, 441, 494, 935, 1376, 3193, 4569<br><br>
+Vals: 53, 441, 494, 935, 1376, 3193, 4569<br>
 Badness: 0.030852<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 4375/4374, 131072/130977, 759375/758912<br><br>
+Comma list: 4375/4374, 131072/130977, 759375/758912<br>
-POTE generator: ~3888/2695 = 634.009<br><br>
+Mapping: [{{val|1 0 -13 53 -89}}, {{val|0 3 29 -95 175}}]<br>
-Map: [&lt;1 0 -13 53 -89|, &lt;0 3 29 -95 175|]<br><br>
+POTE generator: ~3888/2695 = 634.009<br>
-EDOs: 53, 441, 494, 935, 1429<br><br>
+Vals: 53, 441, 494, 935, 1429<br>
 Badness: 0.046758<br><br>
+'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+Comma list: 2080/2079, 4096/4095, 4375/4374, 78125/78078<br>
+Mapping: [{{val|1 0 -13 53 -89 -28}}, {{val|0 3 29 -95 175 60}}]<br>
+POTE generator: ~75/52 = 634.010<br>
+Vals: 53, 441, 494, 935, 1429<br>
+Badness: 0.019393<br><br>
 '''<font style="font-size: 1.35em">[[Tricot family #Trillium|Pseudotrillium]] (53 &amp; 388)</font>'''<br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 4375/4374, 5632/5625, 4108797/4096000<br><br>
+Comma list: 4375/4374, 5632/5625, 4108797/4096000<br>
-POTE generator: ~231/160 = 634.019<br><br>
+Mapping: [{{val|1 0 -13 53 -61}}, {{val|0 3 29 -95 122}}]<br>
-Map: [&lt;1 0 -13 53 -61|, &lt;0 3 29 -95 122|]<br><br>
+POTE generator: ~231/160 = 634.019<br>
-EDOs: 53, 335, 388<br><br>
+Vals: 53, 335, 388<br>
 Badness: 0.111931<br><br>
+'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+Comma list: 847/845, 1001/1000, 4096/4095, 4375/4374<br>
+Mapping: [{{val|1 0 -13 53 -61 -28}}, {{val|0 3 29 -95 122 60}}]<br>
+POTE generator: ~75/52 = 634.018<br>
+Vals: 53, 335, 388<br>
+Badness: 0.054837<br><br>
 '''<font style="font-size: 1.35em">[[Tricot family #Tritricot|Tritricot]] (159 &amp; 282)</font>'''<br>
 '''<font style="font-size: 1.2em">7-limit</font>'''<br>
-Commas: 250047/250000, 11785390260224/11767896353375<br><br>
+Comma list: 250047/250000, 11785390260224/11767896353375<br>
-POTE generator: ~100352/91125 = 165.984<br><br>
+Mapping: [{{val|3 6 19 30}}, {{val|0 -3 -29 -52}}]<br>
-Map: [&lt;3 6 19 30|, &lt;0 -3 -29 -52|]<br><br>
+POTE generator: ~100352/91125 = 165.984<br>
-EDOs: 159, 282, 441, 2487, 2928, 3369<br><br>
+Vals: 159, 282, 441, 2487, 2928, 3369<br>
 Badness: 0.086081<br><br>
 '''<font style="font-size: 1.2em">11-limit</font>'''<br>
-Commas: 4000/3993, 166698/166375, 200704/200475<br><br>
+Comma list: 4000/3993, 166698/166375, 200704/200475<br>
-POTE generator: ~11/10 = 165.984<br><br>
+Mapping: [{{val|3 6 19 30 22}}, {{val|0 -3 -29 -52 -28}}]<br>
-Map: [&lt;3 6 19 30 22|, &lt;0 -3 -29 -52 -28|]<br><br>
+POTE generator: ~11/10 = 165.984<br>
-EDOs: 159, 282, 441<br><br>
+Vals: 159, 282, 441<br>
 Badness: 0.074002<br><br>
+'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+Comma list: 1575/1573, 2080/2079, 34398/34375, 43904/43875<br>
+Mapping: [{{val|3 6 19 30 22 36}}, {{val|0 -3 -29 -52 -28 -60}}]<br>
+POTE generator: ~11/10 = 165.984<br>
+Vals: 159, 282, 441<br>
+Badness: 0.035641<br><br>
+'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+Comma list: 936/935, 1575/1573, 1701/1700, 2025/2023, 8624/8619<br>
+Mapping: [{{val|3 6 19 30 22 36 16}}, {{val|0 -3 -29 -52 -28 -60 -9}}]<br>
+POTE generator: ~11/10 = 165.980<br>
+Vals: 159, 282, 441<br>
+Badness: 0.025972<br><br>
 ===<font style="font-size: 1.15em">Proposed on 21 March 2021</font>===