2.11.13.17.19 subgroup: Difference between revisions
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| Line 1: | Line 1: | ||
==Commas== | ==Commas== | ||
Here follows a selection of commas in the 2.11.13.17.19 | Here follows a selection of commas in the 2.11.13.17.19 [[domain basis]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! rowspan="2" |name | ! rowspan="2" |name | ||
! rowspan="2" | | ! rowspan="2" |prime-count vector | ||
! rowspan="2" |ratio | ! rowspan="2" |ratio | ||
! rowspan="2" |cents | ! rowspan="2" |cents | ||
| Line 27: | Line 27: | ||
|- | |- | ||
|Blumeyer | |Blumeyer | ||
|{{ | |{{vector| 7 0 0 0 -1 -1 -1 1 }} | ||
|2432 / 2431 | |2432 / 2431 | ||
|0.7120024978 | |0.7120024978 | ||
| Line 47: | Line 47: | ||
|- | |- | ||
|yama | |yama | ||
|{{ | |{{vector| -4 0 0 0 1 -1 0 1 }} | ||
|209 / 208 | |209 / 208 | ||
|8.303296728 | |8.303296728 | ||
| Line 67: | Line 67: | ||
|- | |- | ||
|Blume | |Blume | ||
|{{ | |{{vector| -11 0 0 0 2 0 1 0 }} | ||
|2057 / 2048 | |2057 / 2048 | ||
|7.59129423 | |7.59129423 | ||
| Line 87: | Line 87: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 3 0 0 0 0 -2 -1 2 }} | ||
|2888 / 2873 | |2888 / 2873 | ||
|9.015299226 | |9.015299226 | ||
| Line 107: | Line 107: | ||
|- | |- | ||
|eye | |eye | ||
|{{ | |{{vector| 3 0 0 0 -2 0 2 -1 }} | ||
|2312 / 2299 | |2312 / 2299 | ||
|9.761918139 | |9.761918139 | ||
| Line 127: | Line 127: | ||
|- | |- | ||
|lum | |lum | ||
|{{ | |{{vector| -1 0 0 0 -1 -1 2 0 }} | ||
|289 / 286 | |289 / 286 | ||
|18.06521487 | |18.06521487 | ||
| Line 147: | Line 147: | ||
|- | |- | ||
|ume | |ume | ||
|{{ | |{{vector| -8 0 0 0 0 0 3 -1 }} | ||
|4913 / 4864 | |4913 / 4864 | ||
|17.35321237 | |17.35321237 | ||
| Line 167: | Line 167: | ||
|- | |- | ||
|mey | |mey | ||
|{{ | |{{vector| -7 0 0 0 0 3 -1 0 }} | ||
|2197 / 2176 | |2197 / 2176 | ||
|16.62757581 | |16.62757581 | ||
| Line 187: | Line 187: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -5 0 0 0 0 -2 2 1 }} | ||
|5491 / 5408 | |5491 / 5408 | ||
|26.36851159 | |26.36851159 | ||
| Line 207: | Line 207: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -5 0 0 0 -1 0 0 2 }} | ||
|361 / 352 | |361 / 352 | ||
|43.7080899 | |43.7080899 | ||
| Line 227: | Line 227: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -1 0 0 0 -2 1 0 1 }} | ||
|247 / 242 | |247 / 242 | ||
|35.40479317 | |35.40479317 | ||
| Line 247: | Line 247: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 6 0 0 0 -1 -4 3 0 }} | ||
|314432 / 314171 | |314432 / 314171 | ||
|1.437639059 | |1.437639059 | ||
| Line 267: | Line 267: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 14 0 0 0 -4 0 1 -1 }} | ||
|278528 / 278179 | |278528 / 278179 | ||
|2.170623909 | |2.170623909 | ||
| Line 287: | Line 287: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 4 0 0 0 -2 3 -2 0 }} | ||
|35152 / 34969 | |35152 / 34969 | ||
|9.036281578 | |9.036281578 | ||
| Line 307: | Line 307: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 10 0 0 0 -3 -1 1 0 }} | ||
|17408 / 17303 | |17408 / 17303 | ||
|10.47392064 | |10.47392064 | ||
| Line 327: | Line 327: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 0 0 0 0 -1 2 -2 1 }} | ||
|3211 / 3179 | |3211 / 3179 | ||
|17.33957831 | |17.33957831 | ||
| Line 347: | Line 347: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 6 0 0 0 -2 -2 1 1 }} | ||
|20672 / 20449 | |20672 / 20449 | ||
|18.77721736 | |18.77721736 | ||
| Line 367: | Line 367: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -4 0 0 0 0 1 -2 2 }} | ||
|4693 / 4624 | |4693 / 4624 | ||
|25.64287503 | |25.64287503 | ||
| Line 387: | Line 387: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 3 0 0 0 -3 2 0 0 }} | ||
|1352 / 1331 | |1352 / 1331 | ||
|27.10149644 | |27.10149644 | ||
| Line 407: | Line 407: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -8 0 0 0 -1 2 1 0 }} | ||
|2873 / 2816 | |2873 / 2816 | ||
|34.69279067 | |34.69279067 | ||
| Line 427: | Line 427: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 14 0 0 0 2 0 -2 -3 }} | ||
|1982464 / 1982251 | |1982464 / 1982251 | ||
|0.1860173318 | |0.1860173318 | ||
| Line 447: | Line 447: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 13 0 0 0 1 -1 0 -3 }} | ||
|90112 / 89167 | |90112 / 89167 | ||
|18.2512322 | |18.2512322 | ||
| Line 467: | Line 467: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 7 0 0 0 -3 1 2 -2 }} | ||
|480896 / 480491 | |480896 / 480491 | ||
|1.458621411 | |1.458621411 | ||
| Line 487: | Line 487: | ||
|- | |- | ||
|bean | |bean | ||
|{{ | |{{vector| 21 0 0 0 -5 -1 0 0 }} | ||
|2097152 / 2093663 | |2097152 / 2093663 | ||
|2.882626407 | |2.882626407 | ||
| Line 507: | Line 507: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -3 0 0 0 -1 4 -1 -1 }} | ||
|28561 / 28424 | |28561 / 28424 | ||
|8.32427908 | |8.32427908 | ||
| Line 527: | Line 527: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -11 0 0 0 1 2 -1 1 }} | ||
|35321 / 34816 | |35321 / 34816 | ||
|24.93087254 | |24.93087254 | ||
| Line 547: | Line 547: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 3 0 0 0 4 0 -1 -3 }} | ||
|117128 / 116603 | |117128 / 116603 | ||
|7.777311562 | |7.777311562 | ||
| Line 567: | Line 567: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -18 0 0 0 2 3 0 0 }} | ||
|265837 / 262144 | |265837 / 262144 | ||
|24.21887004 | |24.21887004 | ||
| Line 587: | Line 587: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 9 0 0 0 2 -2 0 -2 }} | ||
|61952 / 61009 | |61952 / 61009 | ||
|26.55452893 | |26.55452893 | ||
| Line 607: | Line 607: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 10 0 0 0 3 -1 -2 -2 }} | ||
|1362944 / 1356277 | |1362944 / 1356277 | ||
|8.48931406 | |8.48931406 | ||
| Line 627: | Line 627: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 21 0 0 0 1 -1 -3 -2 }} | ||
|23068672 / 23056709 | |23068672 / 23056709 | ||
|0.8980198296 | |0.8980198296 | ||
| Line 647: | Line 647: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -7 0 0 0 -3 -1 1 4 }} | ||
|2215457 / 2214784 | |2215457 / 2214784 | ||
|0.525985166 | |0.525985166 | ||
| Line 667: | Line 667: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -10 0 0 0 2 3 -3 1 }} | ||
|5050903 / 5030912 | |5050903 / 5030912 | ||
|6.865657669 | |6.865657669 | ||
| Line 687: | Line 687: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -3 0 0 0 1 2 -4 2 }} | ||
|671099 / 668168 | |671099 / 668168 | ||
|7.577660166 | |7.577660166 | ||
| Line 707: | Line 707: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 5 0 0 0 3 -3 0 -1 }} | ||
|42592 / 41743 | |42592 / 41743 | ||
|34.85782565 | |34.85782565 | ||
| Line 727: | Line 727: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 6 0 0 0 -3 0 -1 2 }} | ||
|23104 / 22627 | |23104 / 22627 | ||
|36.11679567 | |36.11679567 | ||
| Line 747: | Line 747: | ||
|- | |- | ||
|pollar | |pollar | ||
|{{ | |{{vector| 1 0 0 0 -2 5 -1 -2 }} | ||
|742586 / 742577 | |742586 / 742577 | ||
|0.02098235203 | |0.02098235203 | ||
| Line 767: | Line 767: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 17 0 0 0 2 -2 -3 -1 }} | ||
|15859712 / 15775643 | |15859712 / 15775643 | ||
|9.201316557 | |9.201316557 | ||
| Line 787: | Line 787: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 11 0 0 0 -3 2 -3 1 }} | ||
|6576128 / 6539203 | |6576128 / 6539203 | ||
|9.748284075 | |9.748284075 | ||
| Line 807: | Line 807: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 24 0 0 0 -1 -1 -1 -3 }} | ||
|16777216 / 16674229 | |16777216 / 16674229 | ||
|10.65993797 | |10.65993797 | ||
| Line 827: | Line 827: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 17 0 0 0 -4 -2 0 1 }} | ||
|2490368 / 2474329 | |2490368 / 2474329 | ||
|11.18592313 | |11.18592313 | ||
| Line 847: | Line 847: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 2 0 0 0 3 -1 1 -3 }} | ||
|90508 / 89167 | |90508 / 89167 | ||
|25.84252643 | |25.84252643 | ||
| Line 867: | Line 867: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 16 0 0 0 1 -3 -1 -1 }} | ||
|720896 / 709631 | |720896 / 709631 | ||
|27.26653142 | |27.26653142 | ||
| Line 887: | Line 887: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -15 0 0 0 2 1 -1 2 }} | ||
|567853 / 557056 | |567853 / 557056 | ||
|33.23416926 | |33.23416926 | ||
| Line 907: | Line 907: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -2 0 0 0 -3 0 2 1 }} | ||
|5491 / 5324 | |5491 / 5324 | ||
|53.47000804 | |53.47000804 | ||
| Line 927: | Line 927: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 8 0 0 0 -3 4 -2 -1 }} | ||
|7311616 / 7308521 | |7311616 / 7308521 | ||
|0.7329848499 | |0.7329848499 | ||
| Line 947: | Line 947: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 28 0 0 0 -2 0 -1 -4 }} | ||
|268435456 / 268070297 | |268435456 / 268070297 | ||
|2.356641241 | |2.356641241 | ||
| Line 967: | Line 967: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -10 0 0 0 -4 3 0 3 }} | ||
|15069223 / 14992384 | |15069223 / 14992384 | ||
|8.850264246 | |8.850264246 | ||
| Line 987: | Line 987: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 6 0 0 0 4 -2 -2 -1 }} | ||
|937024 / 927979 | |937024 / 927979 | ||
|16.79261079 | |16.79261079 | ||
| Line 1,007: | Line 1,007: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 15 0 0 0 -4 3 -3 0 }} | ||
|71991296 / 71931233 | |71991296 / 71931233 | ||
|1.444987348 | |1.444987348 | ||
| Line 1,027: | Line 1,027: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -17 0 0 0 3 4 -2 0 }} | ||
|38014691 / 37879808 | |38014691 / 37879808 | ||
|6.153655171 | |6.153655171 | ||
| Line 1,047: | Line 1,047: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 0 0 0 0 -6 0 3 2 }} | ||
|1773593 / 1771561 | |1773593 / 1771561 | ||
|1.984606577 | |1.984606577 | ||
| Line 1,067: | Line 1,067: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 14 0 0 0 -5 2 -1 0 }} | ||
|2768896 / 2737867 | |2768896 / 2737867 | ||
|19.51020221 | |19.51020221 | ||
| Line 1,087: | Line 1,087: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 18 0 0 0 0 3 -4 -3 }} | ||
|575930368 / 572870539 | |575930368 / 572870539 | ||
|9.222298909 | |9.222298909 | ||
| Line 1,107: | Line 1,107: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -6 0 0 0 -5 4 0 2 }} | ||
|10310521 / 10307264 | |10310521 / 10307264 | ||
|0.5469675181 | |0.5469675181 | ||
| Line 1,127: | Line 1,127: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 20 0 0 0 1 -4 1 -3 }} | ||
|196083712 / 195899899 | |196083712 / 195899899 | ||
|1.623656391 | |1.623656391 | ||
| Line 1,147: | Line 1,147: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -14 0 0 0 3 2 -3 2 }} | ||
|81202979 / 80494592 | |81202979 / 80494592 | ||
|15.1689544 | |15.1689544 | ||
| Line 1,167: | Line 1,167: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -21 0 0 0 -2 3 1 3 }} | ||
|256176791 / 253755392 | |256176791 / 253755392 | ||
|16.44155848 | |16.44155848 | ||
| Line 1,187: | Line 1,187: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -1 0 0 0 4 1 -3 -1 }} | ||
|190333 / 186694 | |190333 / 186694 | ||
|33.42018659 | |33.42018659 | ||
| Line 1,207: | Line 1,207: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 8 0 0 0 1 -3 2 -2 }} | ||
|813824 / 793117 | |813824 / 793117 | ||
|44.61974379 | |44.61974379 | ||
| Line 1,227: | Line 1,227: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -7 0 0 0 -5 1 4 1 }} | ||
|20629687 / 20614528 | |20629687 / 20614528 | ||
|1.272604079 | |1.272604079 | ||
| Line 1,247: | Line 1,247: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 2 0 0 0 6 -5 0 -1 }} | ||
|7086244 / 7054567 | |7086244 / 7054567 | ||
|7.75632921 | |7.75632921 | ||
| Line 1,267: | Line 1,267: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -17 0 0 0 -3 4 1 2 }} | ||
|175278857 / 174456832 | |175278857 / 174456832 | ||
|8.138261748 | |8.138261748 | ||
| Line 1,287: | Line 1,287: | ||
|- | |- | ||
|frouggie | |frouggie | ||
|{{ | |{{vector| 13 0 0 0 4 -5 -1 -1 }} | ||
|119939072 / 119927639 | |119939072 / 119927639 | ||
|0.1650349798 | |0.1650349798 | ||
| Line 1,307: | Line 1,307: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 16 0 0 0 2 -5 1 -2 }} | ||
|134807552 / 134036773 | |134807552 / 134036773 | ||
|9.926953119 | |9.926953119 | ||
| Line 1,327: | Line 1,327: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -24 0 0 0 -2 5 2 1 }} | ||
|2038769863 / 2030043136 | |2038769863 / 2030043136 | ||
|7.42625925 | |7.42625925 | ||
| Line 1,347: | Line 1,347: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -4 0 0 0 -5 -1 3 3 }} | ||
|33698267 / 33498608 | |33698267 / 33498608 | ||
|10.28790331 | |10.28790331 | ||
| Line 1,367: | Line 1,367: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -4 0 0 0 7 -1 -3 -1 }} | ||
|19487171 / 19416176 | |19487171 / 19416176 | ||
|6.31869015 | |6.31869015 | ||
| Line 1,387: | Line 1,387: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 18 0 0 0 -6 3 -1 -1 }} | ||
|575930368 / 572214203 | |575930368 / 572214203 | ||
|11.20690549 | |11.20690549 | ||
| Line 1,407: | Line 1,407: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 0 0 0 0 5 2 -5 -1 }} | ||
|27217619 / 26977283 | |27217619 / 26977283 | ||
|15.35497173 | |15.35497173 | ||
| Line 1,427: | Line 1,427: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 22 0 0 0 -1 4 -4 -4 }} | ||
|119793516544 / 119729942651 | |119793516544 / 119729942651 | ||
|0.9190021816 | |0.9190021816 | ||
| Line 1,447: | Line 1,447: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -18 0 0 0 -4 3 3 2 }} | ||
|3896583821 / 3838050304 | |3896583821 / 3838050304 | ||
|26.20347661 | |26.20347661 | ||
| Line 1,467: | Line 1,467: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| 22 0 0 0 -7 4 -1 -2 }} | ||
|119793516544 / 119592768427 | |119793516544 / 119592768427 | ||
|2.903608759 | |2.903608759 | ||
| Line 1,487: | Line 1,487: | ||
|- | |- | ||
| | | | ||
|{{ | |{{vector| -27 0 0 0 -1 7 -2 3 }} | ||
|430392078103 / 426678157312 | |430392078103 / 426678157312 | ||
|15.00391942 | |15.00391942 | ||
Revision as of 04:25, 30 January 2025
Commas
Here follows a selection of commas in the 2.11.13.17.19 domain basis.
| name | prime-count vector | ratio | cents | as composition of other commas | tempered by patent val for ed2? | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| yama | bean | Blumeyer | frouggie | pollar | 13 | 24 | 33 | 37 | 57 | 70 | 80 | 113 | 124 | 137 | ||||
| Blumeyer | [7 0 0 0 -1 -1 -1 1⟩ | 2432 / 2431 | 0.7120024978 | 1 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
| yama | [-4 0 0 0 1 -1 0 1⟩ | 209 / 208 | 8.303296728 | 1 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||
| Blume | [-11 0 0 0 2 0 1 0⟩ | 2057 / 2048 | 7.59129423 | 1 | -1 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||
| [3 0 0 0 0 -2 -1 2⟩ | 2888 / 2873 | 9.015299226 | 1 | 1 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||
| eye | [3 0 0 0 -2 0 2 -1⟩ | 2312 / 2299 | 9.761918139 | 1 | 1 | -2 | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||
| lum | [-1 0 0 0 -1 -1 2 0⟩ | 289 / 286 | 18.06521487 | 2 | 1 | -2 | ✓ | ✓ | ✓ | |||||||||
| ume | [-8 0 0 0 0 0 3 -1⟩ | 4913 / 4864 | 17.35321237 | 2 | 1 | -3 | ✓ | ✓ | ✓ | ✓ | ||||||||
| mey | [-7 0 0 0 0 3 -1 0⟩ | 2197 / 2176 | 16.62757581 | 2 | 1 | ✓ | ||||||||||||
| [-5 0 0 0 0 -2 2 1⟩ | 5491 / 5408 | 26.36851159 | 3 | 1 | -2 | ✓ | ✓ | ✓ | ||||||||||
| [-5 0 0 0 -1 0 0 2⟩ | 361 / 352 | 43.7080899 | 5 | 1 | -1 | 1 | ✓ | |||||||||||
| [-1 0 0 0 -2 1 0 1⟩ | 247 / 242 | 35.40479317 | 4 | 1 | -1 | 1 | ✓ | |||||||||||
| [6 0 0 0 -1 -4 3 0⟩ | 314432 / 314171 | 1.437639059 | 1 | -2 | -1 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||
| [14 0 0 0 -4 0 1 -1⟩ | 278528 / 278179 | 2.170623909 | 1 | -1 | ✓ | ✓ | ✓ | |||||||||||
| [4 0 0 0 -2 3 -2 0⟩ | 35152 / 34969 | 9.036281578 | 1 | 1 | 1 | ✓ | ✓ | |||||||||||
| [10 0 0 0 -3 -1 1 0⟩ | 17408 / 17303 | 10.47392064 | 1 | 1 | -1 | ✓ | ||||||||||||
| [0 0 0 0 -1 2 -2 1⟩ | 3211 / 3179 | 17.33957831 | 2 | 1 | 1 | ✓ | ||||||||||||
| [6 0 0 0 -2 -2 1 1⟩ | 20672 / 20449 | 18.77721736 | 2 | 1 | -1 | ✓ | ✓ | ✓ | ||||||||||
| [-4 0 0 0 0 1 -2 2⟩ | 4693 / 4624 | 25.64287503 | 3 | 1 | 1 | ✓ | ||||||||||||
| [3 0 0 0 -3 2 0 0⟩ | 1352 / 1331 | 27.10149644 | 3 | 1 | -1 | 1 | ✓ | |||||||||||
| [-8 0 0 0 -1 2 1 0⟩ | 2873 / 2816 | 34.69279067 | 4 | 1 | -2 | 1 | ✓ | |||||||||||
| [14 0 0 0 2 0 -2 -3⟩ | 1982464 / 1982251 | 0.1860173318 | 1 | 1 | ✓ | ✓ | ✓ | ✓ | ||||||||||
| [13 0 0 0 1 -1 0 -3⟩ | 90112 / 89167 | 18.2512322 | 2 | 1 | -2 | 1 | 1 | ✓ | ||||||||||
| [7 0 0 0 -3 1 2 -2⟩ | 480896 / 480491 | 1.458621411 | 1 | -2 | ✓ | ✓ | ✓ | |||||||||||
| bean | [21 0 0 0 -5 -1 0 0⟩ | 2097152 / 2093663 | 2.882626407 | 1 | ✓ | ✓ | ✓ | |||||||||||
| [-3 0 0 0 -1 4 -1 -1⟩ | 28561 / 28424 | 8.32427908 | 1 | 1 | ✓ | ✓ | ||||||||||||
| [-11 0 0 0 1 2 -1 1⟩ | 35321 / 34816 | 24.93087254 | 3 | 1 | ✓ | |||||||||||||
| [3 0 0 0 4 0 -1 -3⟩ | 117128 / 116603 | 7.777311562 | 1 | -1 | 1 | 1 | ✓ | ✓ | ✓ | |||||||||
| [-18 0 0 0 2 3 0 0⟩ | 265837 / 262144 | 24.21887004 | 3 | -1 | 1 | ✓ | ||||||||||||
| [9 0 0 0 2 -2 0 -2⟩ | 61952 / 61009 | 26.55452893 | 3 | 1 | -2 | 1 | 1 | ✓ | ||||||||||
| [10 0 0 0 3 -1 -2 -2⟩ | 1362944 / 1356277 | 8.48931406 | 1 | 1 | 1 | ✓ | ✓ | ✓ | ✓ | |||||||||
| [21 0 0 0 1 -1 -3 -2⟩ | 23068672 / 23056709 | 0.8980198296 | 1 | 1 | 1 | ✓ | ✓ | ✓ | ||||||||||
| [-7 0 0 0 -3 -1 1 4⟩ | 2215457 / 2214784 | 0.525985166 | 1 | -1 | -1 | ✓ | ✓ | ✓ | ||||||||||
| [-10 0 0 0 2 3 -3 1⟩ | 5050903 / 5030912 | 6.865657669 | 1 | -1 | 2 | 1 | ✓ | ✓ | ✓ | |||||||||
| [-3 0 0 0 1 2 -4 2⟩ | 671099 / 668168 | 7.577660166 | 1 | -1 | 3 | 1 | ✓ | ✓ | ||||||||||
| [5 0 0 0 3 -3 0 -1⟩ | 42592 / 41743 | 34.85782565 | 4 | 1 | -2 | 1 | 1 | ✓ | ||||||||||
| [6 0 0 0 -3 0 -1 2⟩ | 23104 / 22627 | 36.11679567 | 4 | 1 | 1 | ✓ | ||||||||||||
| pollar | [1 0 0 0 -2 5 -1 -2⟩ | 742586 / 742577 | 0.02098235203 | 1 | ✓ | ✓ | ||||||||||||
| [17 0 0 0 2 -2 -3 -1⟩ | 15859712 / 15775643 | 9.201316557 | 1 | 1 | 1 | 1 | ✓ | ✓ | ✓ | |||||||||
| [11 0 0 0 -3 2 -3 1⟩ | 6576128 / 6539203 | 9.748284075 | 1 | 2 | 1 | ✓ | ✓ | |||||||||||
| [24 0 0 0 -1 -1 -1 -3⟩ | 16777216 / 16674229 | 10.65993797 | 1 | 1 | -1 | 1 | 1 | ✓ | ✓ | |||||||||
| [17 0 0 0 -4 -2 0 1⟩ | 2490368 / 2474329 | 11.18592313 | 1 | 1 | ✓ | |||||||||||||
| [2 0 0 0 3 -1 1 -3⟩ | 90508 / 89167 | 25.84252643 | 3 | 1 | -3 | 1 | 1 | ✓ | ||||||||||
| [16 0 0 0 1 -3 -1 -1⟩ | 720896 / 709631 | 27.26653142 | 3 | 1 | -1 | 1 | 1 | ✓ | ||||||||||
| [-15 0 0 0 2 1 -1 2⟩ | 567853 / 557056 | 33.23416926 | 4 | 1 | ✓ | |||||||||||||
| [-2 0 0 0 -3 0 2 1⟩ | 5491 / 5324 | 53.47000804 | 6 | 2 | -3 | 1 | ✓ | |||||||||||
| [8 0 0 0 -3 4 -2 -1⟩ | 7311616 / 7308521 | 0.7329848499 | 1 | 1 | ✓ | ✓ | ||||||||||||
| [28 0 0 0 -2 0 -1 -4⟩ | 268435456 / 268070297 | 2.356641241 | 1 | -1 | 1 | 1 | ✓ | ✓ | ||||||||||
| [-10 0 0 0 -4 3 0 3⟩ | 15069223 / 14992384 | 8.850264246 | 1 | 1 | -1 | ✓ | ✓ | ✓ | ✓ | |||||||||
| [6 0 0 0 4 -2 -2 -1⟩ | 937024 / 927979 | 16.79261079 | 2 | 1 | 1 | ✓ | ✓ | |||||||||||
| [15 0 0 0 -4 3 -3 0⟩ | 71991296 / 71931233 | 1.444987348 | 2 | 1 | ✓ | ✓ | ||||||||||||
| [-17 0 0 0 3 4 -2 0⟩ | 38014691 / 37879808 | 6.153655171 | 1 | -1 | 1 | 1 | ✓ | ✓ | ||||||||||
| [0 0 0 0 -6 0 3 2⟩ | 1773593 / 1771561 | 1.984606577 | 1 | -1 | -1 | -1 | ✓ | ✓ | ||||||||||
| [14 0 0 0 -5 2 -1 0⟩ | 2768896 / 2737867 | 19.51020221 | 2 | 1 | 1 | ✓ | ||||||||||||
| [18 0 0 0 0 3 -4 -3⟩ | 575930368 / 572870539 | 9.222298909 | 1 | 1 | 1 | 2 | ✓ | ✓ | ✓ | |||||||||
| [-6 0 0 0 -5 4 0 2⟩ | 10310521 / 10307264 | 0.5469675181 | 1 | -1 | ✓ | |||||||||||||
| [20 0 0 0 1 -4 1 -3⟩ | 196083712 / 195899899 | 1.623656391 | 1 | -2 | 1 | ✓ | ||||||||||||
| [-14 0 0 0 3 2 -3 2⟩ | 81202979 / 80494592 | 15.1689544 | 2 | -1 | 2 | 1 | ✓ | ✓ | ||||||||||
| [-21 0 0 0 -2 3 1 3⟩ | 256176791 / 253755392 | 16.44155848 | 2 | -1 | ✓ | ✓ | ✓ | |||||||||||
| [-1 0 0 0 4 1 -3 -1⟩ | 190333 / 186694 | 33.42018659 | 4 | 1 | 2 | ✓ | ||||||||||||
| [8 0 0 0 1 -3 2 -2⟩ | 813824 / 793117 | 44.61974379 | 5 | 2 | -4 | 1 | 1 | ✓ | ||||||||||
| [-7 0 0 0 -5 1 4 1⟩ | 20629687 / 20614528 | 1.272604079 | 1 | -2 | -1 | -1 | ✓ | |||||||||||
| [2 0 0 0 6 -5 0 -1⟩ | 7086244 / 7054567 | 7.75632921 | 1 | -1 | 1 | ✓ | ||||||||||||
| [-17 0 0 0 -3 4 1 2⟩ | 175278857 / 174456832 | 8.138261748 | 1 | -1 | ✓ | ✓ | ||||||||||||
| frouggie | [13 0 0 0 4 -5 -1 -1⟩ | 119939072 / 119927639 | 0.1650349798 | 1 | ✓ | ✓ | ||||||||||||
| [16 0 0 0 2 -5 1 -2⟩ | 134807552 / 134036773 | 9.926953119 | 1 | 1 | -2 | 1 | ✓ | |||||||||||
| [-24 0 0 0 -2 5 2 1⟩ | 2038769863 / 2030043136 | 7.42625925 | 1 | -1 | -1 | ✓ | ✓ | |||||||||||
| [-4 0 0 0 -5 -1 3 3⟩ | 33698267 / 33498608 | 10.28790331 | 1 | 1 | -1 | -1 | -1 | ✓ | ||||||||||
| [-4 0 0 0 7 -1 -3 -1⟩ | 19487171 / 19416176 | 6.31869015 | 1 | -1 | 1 | 1 | 1 | ✓ | ||||||||||
| [18 0 0 0 -6 3 -1 -1⟩ | 575930368 / 572214203 | 11.20690549 | 1 | 1 | 1 | ✓ | ||||||||||||
| [0 0 0 0 5 2 -5 -1⟩ | 27217619 / 26977283 | 15.35497173 | 2 | -1 | 2 | 1 | 2 | ✓ | ||||||||||
| [22 0 0 0 -1 4 -4 -4⟩ | 119793516544 / 119729942651 | 0.9190021816 | 1 | 1 | 2 | ✓ | ||||||||||||
| [-18 0 0 0 -4 3 3 2⟩ | 3896583821 / 3838050304 | 26.20347661 | 3 | 1 | -2 | -1 | ✓ | |||||||||||
| [22 0 0 0 -7 4 -1 -2⟩ | 119793516544 / 119592768427 | 2.903608759 | 1 | 1 | ✓ | ✓ | ||||||||||||
| [-27 0 0 0 -1 7 -2 3⟩ | 430392078103 / 426678157312 | 15.00391942 | 2 | -1 | 2 | -1 | 1 | ✓ | ||||||||||
See also
Yer, a hexadecatonic JI EFG in this subgroup
Gjaeck, a tridecatonic MOS of 57ed2 in this subgroup
Hilim13, a tridecatonic JI tuning in this subgroup