User:Cmloegcmluin/2.11.13.17.19 subgroup: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | ! rowspan="2" |name | ||
! | ! rowspan="2" |monzo | ||
! | ! rowspan="2" |ratio | ||
! | ! rowspan="2" |cents | ||
! colspan="5" |as composition of other commas | |||
! colspan="10" |tempered by ed2? | ! colspan="10" |tempered by ed2? | ||
|- | |- | ||
! | !yama | ||
! | !bean | ||
! | !Blumeyer | ||
! | !frouggie | ||
!pollar | |||
!13 | !13 | ||
!24 | !24 | ||
| Line 24: | Line 25: | ||
!124 | !124 | ||
!137 | !137 | ||
|- | |- | ||
|Blumeyer | |Blumeyer | ||
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|2432 / 2431 | |2432 / 2431 | ||
|0.7120024978 | |0.7120024978 | ||
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|✓ | |✓ | ||
|✓ | |✓ | ||
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|- | |- | ||
|yama | |yama | ||
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|209 / 208 | |209 / 208 | ||
|8.303296728 | |8.303296728 | ||
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|✓ | |✓ | ||
|✓ | |✓ | ||
| Line 64: | Line 65: | ||
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|Blume | |||
|{{Monzo| -11 0 0 0 2 0 1 0 }} | |||
|2057 / 2048 | |||
|7.59129423 | |||
|1 | |1 | ||
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|✓ | |✓ | ||
|✓ | |✓ | ||
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|2888 / 2873 | |2888 / 2873 | ||
|9.015299226 | |9.015299226 | ||
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|2312 / 2299 | |2312 / 2299 | ||
|9.761918139 | |9.761918139 | ||
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|289 / 286 | |289 / 286 | ||
|18.06521487 | |18.06521487 | ||
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|4913 / 4864 | |4913 / 4864 | ||
|17.35321237 | |17.35321237 | ||
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| Line 164: | Line 165: | ||
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|mey | |mey | ||
|{{Monzo| -7 0 0 0 0 3 -1 0 }} | |{{Monzo| -7 0 0 0 0 3 -1 0 }} | ||
|2197 / 2176 | |2197 / 2176 | ||
|16.62757581 | |16.62757581 | ||
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|5491 / 5408 | |5491 / 5408 | ||
|26.36851159 | |26.36851159 | ||
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|361 / 352 | |361 / 352 | ||
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|247 / 242 | |247 / 242 | ||
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|314432 / 314171 | |314432 / 314171 | ||
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|278528 / 278179 | |278528 / 278179 | ||
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|35152 / 34969 | |35152 / 34969 | ||
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|17408 / 17303 | |17408 / 17303 | ||
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|{{Monzo| 0 0 0 0 -1 2 -2 1 }} | |{{Monzo| 0 0 0 0 -1 2 -2 1 }} | ||
|3211 / 3179 | |3211 / 3179 | ||
|17.33957831 | |17.33957831 | ||
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|20672 / 20449 | |20672 / 20449 | ||
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|1352 / 1331 | |1352 / 1331 | ||
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|bean | |bean | ||
|{{Monzo| 21 0 0 0 -5 -1 0 0 }} | |{{Monzo| 21 0 0 0 -5 -1 0 0 }} | ||
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|2.882626407 | |2.882626407 | ||
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|117128 / 116603 | |117128 / 116603 | ||
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|61952 / 61009 | |61952 / 61009 | ||
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|{{Monzo| 10 0 0 0 3 -1 -2 -2 }} | |{{Monzo| 10 0 0 0 3 -1 -2 -2 }} | ||
|1362944 / 1356277 | |1362944 / 1356277 | ||
|8.48931406 | |8.48931406 | ||
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|2215457 / 2214784 | |2215457 / 2214784 | ||
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|5050903 / 5030912 | |5050903 / 5030912 | ||
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|{{Monzo| 5 0 0 0 3 -3 0 -1 }} | |{{Monzo| 5 0 0 0 3 -3 0 -1 }} | ||
|42592 / 41743 | |42592 / 41743 | ||
|34.85782565 | |34.85782565 | ||
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|15859712 / 15775643 | |15859712 / 15775643 | ||
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|6576128 / 6539203 | |6576128 / 6539203 | ||
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|16777216 / 16674229 | |16777216 / 16674229 | ||
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|2490368 / 2474329 | |2490368 / 2474329 | ||
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|268435456 / 268070297 | |268435456 / 268070297 | ||
|2.356641241 | |2.356641241 | ||
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|15069223 / 14992384 | |15069223 / 14992384 | ||
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|1 | |{{Monzo| 6 0 0 0 4 -2 -2 -1 }} | ||
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|38014691 / 37879808 | |38014691 / 37879808 | ||
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|1773593 / 1771561 | |1773593 / 1771561 | ||
|1.984606577 | |1.984606577 | ||
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|2768896 / 2737867 | |2768896 / 2737867 | ||
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|{{Monzo| 18 0 0 0 0 3 -4 -3 }} | |{{Monzo| 18 0 0 0 0 3 -4 -3 }} | ||
|575930368 / 572870539 | |575930368 / 572870539 | ||
|9.222298909 | |9.222298909 | ||
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|81202979 / 80494592 | |81202979 / 80494592 | ||
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|256176791 / 253755392 | |256176791 / 253755392 | ||
|16.44155848 | |16.44155848 | ||
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|190333 / 186694 | |190333 / 186694 | ||
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|813824 / 793117 | |813824 / 793117 | ||
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|20629687 / 20614528 | |20629687 / 20614528 | ||
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|7086244 / 7054567 | |7086244 / 7054567 | ||
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|175278857 / 174456832 | |175278857 / 174456832 | ||
|8.138261748 | |8.138261748 | ||
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|134807552 / 134036773 | |134807552 / 134036773 | ||
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|33698267 / 33498608 | |33698267 / 33498608 | ||
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|19487171 / 19416176 | |19487171 / 19416176 | ||
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|575930368 / 572214203 | |575930368 / 572214203 | ||
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|27217619 / 26977283 | |27217619 / 26977283 | ||
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|{{Monzo| 22 0 0 0 -1 4 -4 -4 }} | |{{Monzo| 22 0 0 0 -1 4 -4 -4 }} | ||
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|3896583821 / 3838050304 | |3896583821 / 3838050304 | ||
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|430392078103 / 426678157312 | |430392078103 / 426678157312 | ||
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|} | |} | ||
Revision as of 02:31, 21 February 2020
Commas
| name | monzo | ratio | cents | as composition of other commas | tempered by 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