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Line 92: Line 92:
: Eigenmonzos: 2, 9/7
: Eigenmonzos: 2, 9/7


{{Val list|legend=1| 41, 53, 94, 229c, 323c, 417ce }}
Vals: {{Val list| 41, 53, 94, 229c, 323c, 417ce }}


Badness: 0.027396
Badness: 0.027396
Line 107: Line 107:
POTE generator: ~3/2 = 702.113
POTE generator: ~3/2 = 702.113


{{Val list|legend=1| 41, 53, 94, 429cdef, 523cdef }}
Vals: {{Val list| 41, 53, 94, 429cdef, 523cdef }}


Badness: 0.020676
Badness: 0.020676
Line 122: Line 122:
POTE generator: ~3/2 = 702.321
POTE generator: ~3/2 = 702.321


{{Val list|legend=1| 12, 29, 41, 217ce, 258ce }}
Vals: {{Val list| 12, 29, 41, 217ce, 258ce }}


Badness: 0.023556
Badness: 0.023556
Line 137: Line 137:
POTE generator: ~3/2 = 702.559
POTE generator: ~3/2 = 702.559


{{Val list|legend=1| 12f, 29, 41, 152cdf, 193cdf, 234cdf }}
Vals: {{Val list| 12f, 29, 41, 152cdf, 193cdf, 234cdf }}


Badness: 0.020749
Badness: 0.020749
Line 152: Line 152:
POTE generator: ~3/2 = 701.725
POTE generator: ~3/2 = 701.725


{{Val list|legend=1| 12, 41e, 53, 118d, 171de }}
Vals: {{Val list| 12, 41e, 53, 118d, 171de }}


Badness: 0.035637
Badness: 0.035637
Line 167: Line 167:
POTE generator: ~3/2 = 701.747
POTE generator: ~3/2 = 701.747


{{Val list|legend=1| 12f, 41ef, 53, 118d, 171de }}
Vals: {{Val list| 12f, 41ef, 53, 118d, 171de }}


Badness: 0.026284
Badness: 0.026284
Line 182: Line 182:
POTE generator: ~63/55 = 248.918
POTE generator: ~63/55 = 248.918


{{Val list|legend=1| 29, 53, 82e, 135e, 188ce }}
Vals: {{Val list| 29, 53, 82e, 135e, 188ce }}


Badness: 0.050681
Badness: 0.050681
Line 197: Line 197:
POTE generator: ~15/13 = 248.918
POTE generator: ~15/13 = 248.918


{{Val list|legend=1| 29, 53, 82e, 135ef, 188cef }}
Vals: {{Val list| 29, 53, 82e, 135ef, 188cef }}


Badness: 0.027464
Badness: 0.027464
Line 212: Line 212:
POTE generator: ~11/10 = 165.974
POTE generator: ~11/10 = 165.974


{{Val list|legend=1| 29, 65d, 94, 441cde, 535cde, 629cde }}
Vals: {{Val list| 29, 65d, 94, 441cde, 535cde, 629cde }}


Badness: 0.058040
Badness: 0.058040
Line 227: Line 227:
POTE generator: ~11/10 = 165.963
POTE generator: ~11/10 = 165.963


{{Val list|legend=1| 29, 65d, 94 }}
Vals: {{Val list| 29, 65d, 94 }}


Badness: 0.033849
Badness: 0.033849
Line 248: Line 248:
{{Val list|legend=1| 12, 29d, 41d, 53d }}
{{Val list|legend=1| 12, 29d, 41d, 53d }}


[[Badness]]: 0.0566
[[Badness]]: 0.056648


== 11-limit ==
== 11-limit ==
Line 261: Line 261:
POTE generator ~3/2 = 702.136
POTE generator ~3/2 = 702.136


{{Val list|legend=1| 12, 29de, 41de }}
Vals: {{Val list| 12, 29de, 41de }}


Badness: 0.0375
Badness: 0.037482


= Pontiac =
= Pontiac =
Line 291: Line 291:
* strict range: ~3/2 = [701.711, 701.886]
* strict range: ~3/2 = [701.711, 701.886]


{{Val list|legend=1| 53, 118, 171, 1592c, 1763c, …, 2960cd, 3131bcd }}
{{Val list|legend=1| 53, 118, 171, 1592c, 1763c, 1934c, 2105c, 2276cd, 2447cd, 2618cd, 2789cd, 2960cd, 3131bcd }}


[[Badness]]: 0.014133
[[Badness]]: 0.014133
Line 312: Line 312:
* [[9-odd-limit]] eigenmonzos: 2, 9/7
* [[9-odd-limit]] eigenmonzos: 2, 9/7


{{Val list|legend=1| 12, … , 65, 77, 166c, 243c }}
{{Val list|legend=1| 12, 53d, 65, 77, 166c, 243c }}


[[Badness]]: 0.070407
[[Badness]]: 0.070407
Line 333: Line 333:
* [[9-odd-limit]] eigenmonzos: 2, 9/7
* [[9-odd-limit]] eigenmonzos: 2, 9/7


{{Val list|legend=1| 12, … , 118, 130, 248, 378, 508 }}
{{Val list|legend=1| 12, 106d, 118, 130, 248, 378, 508 }}


[[Badness]]: 0.0547
[[Badness]]: 0.054744


== 11-limit ==
== 11-limit ==
Line 348: Line 348:
POTE generator: ~3/2 = 701.612
POTE generator: ~3/2 = 701.612


{{Val list|legend=1| 12, … , 118, 130, 248 }}
Vals: {{Val list| 12, 106de, 118, 130, 248 }}


Badness: 0.0282
Badness: 0.028160


== 13-limit ==
== 13-limit ==
Line 363: Line 363:
POTE generator: ~3/2 = 701.590
POTE generator: ~3/2 = 701.590


{{Val list|legend=1| 12, … , 118, 130, 248, 378 }}
Vals: {{Val list| 12, 106def, 118, 130, 248, 378 }}


Badness: 0.0287
Badness: 0.028722


= Kleischismic =
= Kleischismic =
Line 380: Line 380:
[[POTE generator]]: ~36/35 = 50.920
[[POTE generator]]: ~36/35 = 50.920


{{Val list|legend=1| 94, 118, 212, 330, 542d, 872cd }}
{{Val list|legend=1| 24, 94, 118, 212, 330, 542d, 872cd }}


[[Badness]]: 0.1106
[[Badness]]: 0.110583


== 11-limit ==
== 11-limit ==
Line 395: Line 395:
POTE generator: ~36/35 = 50.918
POTE generator: ~36/35 = 50.918


{{Val list|legend=1| 94, 118, 212, 330e, 542de }}
Vals: {{Val list| 94, 118, 212, 330e, 542de }}


Badness: 0.0367
Badness: 0.036749


== 13-limit ==
== 13-limit ==
Line 410: Line 410:
POTE generator: ~36/35 = 50.938
POTE generator: ~36/35 = 50.938


{{Val list|legend=1| 94, 118, 212f }}
Vals: {{Val list| 94, 118, 212f }}


Badness: 0.0376
Badness: 0.037640


= Pogo =
= Pogo =
Line 422: Line 422:


Mapping generators: ~343/243, ~9/7
Mapping generators: ~343/243, ~9/7
{{Multival|legend=1| 6 -48 10 -90 -1 158 }}


[[POTE generator]]: ~9/7 = 433.901
[[POTE generator]]: ~9/7 = 433.901
Line 427: Line 429:
{{Val list|legend=1| 36, 94, 130, 224, 354 }}
{{Val list|legend=1| 36, 94, 130, 224, 354 }}


[[Badness]]: 0.0796
[[Badness]]: 0.079635


== 11-limit ==
== 11-limit ==
Line 440: Line 442:
POTE generator: ~9/7 = 433.911
POTE generator: ~9/7 = 433.911


{{Val list|legend=1| 36, 94, 130, 224, 354, 578 }}
Vals: {{Val list| 36, 94, 130, 224, 354, 578 }}


Badness: 0.0319
Badness: 0.031857


== 13-limit ==
== 13-limit ==
Line 455: Line 457:
POTE generator: ~9/7 = 433.911
POTE generator: ~9/7 = 433.911


{{Val list|legend=1| 36, 94, 130, 224, 354, 578 }}
Vals: {{Val list| 36, 94, 130, 224, 354, 578 }}


Badness: 0.0175
Badness: 0.017514


= Squirrel =
= Squirrel =
Line 465: Line 467:


[[Mapping]]: [{{val| 1 2 -1 1 }}, {{val| 0 -3 24 13 }}]
[[Mapping]]: [{{val| 1 2 -1 1 }}, {{val| 0 -3 24 13 }}]
{{Multival|legend=1| 3 -24 -13 -45 -29 37 }}


[[POTE generator]]: ~160/147 = 166.140
[[POTE generator]]: ~160/147 = 166.140
Line 470: Line 474:
{{Val list|legend=1| 29, 36, 65 }}
{{Val list|legend=1| 29, 36, 65 }}


[[Badness]]: 0.1747
[[Badness]]: 0.174705


== 11-limit ==
== 11-limit ==
Line 481: Line 485:
POTE generator: ~11/10 = 166.097
POTE generator: ~11/10 = 166.097


{{Val list|legend=1| 29, 36, 65 }}
Vals: {{Val list| 29, 36, 65 }}


Badness: 0.0683
Badness: 0.068310


== 13-limit ==
== 13-limit ==
Line 496: Line 500:
{{Val list|legend=1| 29, 36, 65f, 94df, 159df }}
{{Val list|legend=1| 29, 36, 65f, 94df, 159df }}


Badness: 0.0437
Badness: 0.043750


= Term =
= Term =
Line 515: Line 519:
* [[9-odd-limit]] eigenmonzos: 2, 9/7
* [[9-odd-limit]] eigenmonzos: 2, 9/7


{{Val list|legend=1| 12, … , 159, 171, 867, 1038, 1209, 1380, 1551, 1722 }}
{{Val list|legend=1| 12, 147d, 159, 171, 867, 1038, 1209, 1380, 1551, 1722 }}


[[Badness]]: 0.019950
[[Badness]]: 0.019950
Line 538: Line 542:
{{Val list|legend=1| 41, 89, 130, 171, 814, 985, 1156, 1327, 1498, 2825bd }}
{{Val list|legend=1| 41, 89, 130, 171, 814, 985, 1156, 1327, 1498, 2825bd }}


[[Badness]]: 0.0112
[[Badness]]: 0.011244


== Sesquart ==
== Sesquart ==
Line 551: Line 555:
POTE generator: ~256/231 = 175.406
POTE generator: ~256/231 = 175.406


{{Val list|legend=1| 41, 89, 130, 301e, 431e }}
Vals: {{Val list| 41, 89, 130, 301e, 431e }}


Badness: 0.0293
Badness: 0.029306


=== 13-limit ===
=== 13-limit ===
Line 564: Line 568:
POTE generator: ~256/231 = 175.409
POTE generator: ~256/231 = 175.409


{{Val list|legend=1| 41, 89, 130, 301e, 431e }}
Vals: {{Val list| 41, 89, 130, 301e, 431e }}


Badness: 0.0224
Badness: 0.022396


== Bisesqui ==
== Bisesqui ==
Line 577: Line 581:
POTE generator: ~448/405 = 175.435
POTE generator: ~448/405 = 175.435


{{Val list|legend=1| 82e, 130, 212, 342, 1156, 1498, 1840d }}
Vals: {{Val list| 82e, 130, 212, 342, 1156, 1498, 1840d }}


Badness: 0.0170
Badness: 0.016968


= Sextilififths =
= Sextilififths =
Line 589: Line 593:


Mapping generators: ~2, ~21/20
Mapping generators: ~2, ~21/20
{{Multival|legend=1| 6 -48 -55 -90 -104 7 }}


[[POTE generator]]: ~21/20 = 83.053
[[POTE generator]]: ~21/20 = 83.053
Line 594: Line 600:
{{Val list|legend=1| 29, 72cd, 101, 130, 289, 419 }}
{{Val list|legend=1| 29, 72cd, 101, 130, 289, 419 }}


[[Badness]]: 0.1088
[[Badness]]: 0.108794


== 11-limit ==
== 11-limit ==
Line 601: Line 607:
Comma list: 441/440, 4000/3993, 235298/234375
Comma list: 441/440, 4000/3993, 235298/234375


Mapping: [{{val| 1 2 -1 -1 0 }}, {{val| 0 -6 48 55 50| }}]
Mapping: [{{val| 1 2 -1 -1 0 }}, {{val| 0 -6 48 55 50 }}]


Mapping generators: ~2, ~21/20
Mapping generators: ~2, ~21/20
Line 607: Line 613:
POTE generator: ~21/20 = 83.049
POTE generator: ~21/20 = 83.049


{{Val list|legend=1| 29, 72cde, 101e, 130, 289 }}
Vals: {{Val list| 29, 72cde, 101e, 130, 289 }}


Badness: 0.0455
Badness: 0.045457


== 13-limit ==
== 13-limit ==
Line 622: Line 628:
POTE generator: ~21/20 = 83.049
POTE generator: ~21/20 = 83.049


{{Val list|legend=1| 29, 72cdef, 101e, 130, 289 }}
Vals: {{Val list| 29, 72cdef, 101e, 130, 289 }}


Badness: 0.0253
Badness: 0.025276


= Tsaharuk =
= Tsaharuk =
Line 643: Line 649:
{{Val list|legend=1| 17, 60c, 77, 94, 171 }}
{{Val list|legend=1| 17, 60c, 77, 94, 171 }}


[[Badness]]: 0.0307
[[Badness]]: 0.030697


= Quanharuk =
= Quanharuk =
Line 660: Line 666:
{{Val list|legend=1| 41, 142, 183, 224, 1303d, 1527cd, 1751cd, 1975cd }}
{{Val list|legend=1| 41, 142, 183, 224, 1303d, 1527cd, 1751cd, 1975cd }}


[[Badness]]: 0.0720
[[Badness]]: 0.071950


== 11-limit ==
== 11-limit ==
Line 673: Line 679:
POTE generator: ~56/45 = 380.352
POTE generator: ~56/45 = 380.352


{{Val list|legend=1| 41, 142, 183, 224, 631d, 855d, 1079d }}
Vals: {{Val list| 41, 142, 183, 224, 631d, 855d, 1079d }}


Badness: 0.0315
Badness: 0.031549


== 13-limit ==
== 13-limit ==
Line 688: Line 694:
POTE generator: ~56/45 = 380.351
POTE generator: ~56/45 = 380.351


{{Val list|legend=1| 41, 142, 183, 224, 631d, 855d }}
Vals: {{Val list| 41, 142, 183, 224, 631d, 855d }}


Badness: 0.0214
Badness: 0.021392


= Octant =
= Octant =
Line 705: Line 711:
[[POTE generator]]: ~3/2 = 701.713
[[POTE generator]]: ~3/2 = 701.713


{{Val list|legend=1| 224, 472, 696, 1168 }}
{{Val list|legend=1| 24, 224, 472, 696, 1168 }}


[[Badness]]: 0.1572
[[Badness]]: 0.157186


== 11-limit ==
== 11-limit ==
Line 720: Line 726:
POTE generator: ~3/2 = 701.713
POTE generator: ~3/2 = 701.713


{{Val list|legend=1| 224, 472, 696, 1168 }}
Vals: {{Val list| 24, 224, 472, 696, 1168 }}


Badness: 0.0448
Badness: 0.044778


== 13-limit ==
== 13-limit ==
Line 735: Line 741:
POTE generator: ~3/2 = 701.725
POTE generator: ~3/2 = 701.725


{{Val list|legend=1| 224, 472, 696 }}
Vals: {{Val list| 24, 224, 472, 696 }}


Badness: 0.0304
Badness: 0.030425


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
Retrieved from "https://en.xen.wiki/w/Schismatic_family"