26ed5: Difference between revisions
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==== ''N''th-prime subgroups ==== | ==== ''N''th-prime subgroups ==== | ||
These are some [[Half-prime subgroup|''n''th-prime subgroups]] which 26ed5 approximates well: | These are some [[Half-prime subgroup|''n''th-prime subgroups]] which 26ed5 approximates well: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ Loose ''n''th-prime subgroups (non-prime numerators allowed) | ||
!Family | !Family | ||
!Most distinctive related families | !Most distinctive related families | ||
| Line 104: | Line 105: | ||
!16th-prime | !16th-prime | ||
|8th-, quarter- & half-prime | |8th-, quarter- & half-prime | ||
|7/4.9/4.10/2.12/2.13/4.17/16.19/8 | |7/4.9/4.10/2.12/2.13/4.17/16.19/8 | ||
|- | |- | ||
!18th-prime | !18th-prime | ||
| Line 132: | Line 133: | ||
!112th-prime | !112th-prime | ||
|16th- & 14th-prime | |16th- & 14th-prime | ||
|7/4.9/4.9/7.10/2.12/2.13/4.17/16.19/8.20/7.23/14.24/7.29/7.31/7.33/7 | |7/4.9/4.9/7.10/2.12/2.13/4.17/16.19/8.20/7.23/14.24/7.29/7.31/7.33/7 | ||
|- | |- | ||
!130th-prime | !130th-prime | ||
|13th- & 10th-prime | |13th- & 10th-prime | ||
|6/5.10/2.12/2.21/10.22/5.24/13.27/10.29/13.35/13.39/10.47/10.54/13 | |6/5.10/2.12/2.21/10.22/5.24/13.27/10.29/13.35/13.39/10.47/10.54/13 | ||
|} | |||
{| class="wikitable" | |||
|+ Strict ''n''th-prime subgroups (only prime numerators allowed) | |||
!Family | |||
!Most distinctive related families | |||
!Subgroup basis elements | |||
|- | |||
!16th-prime | |||
|8th-, quarter- & half-prime | |||
|7/4.13/4.17/16.19/8 | |||
|- | |||
!18th-prime | |||
|9th- & 6th-prime | |||
|11/3.13/9.19/9.23/18.31/9 | |||
|- | |||
!30th-prime | |||
|15th- & 10th-prime | |||
|11/3.17/15.23/15.41/30.47/10 | |||
|- | |||
!60th-prime | |||
|15th-, 10th- & quarter-prime | |||
|7/4.11/3.13/4.17/15.23/15.29/20.41/30.43/15.47/10.61/20 | |||
|- | |||
!68th-prime | |||
|17th- & quarter-prime | |||
|7/4.13/4.41/34.43/17.67/34 | |||
|- | |||
!88th-prime | |||
|11th- & eighth-prime | |||
|7/4.13/4.17/11.19/8.23/11.47/44.53/44.67/22 | |||
|- | |||
!90th-prime | |||
|15th-, 10th-, 9th- & 6th-prime | |||
|11/3.13/9.17/15.19/9.23/15.23/18.31/9.41/30.43/15.47/19.49/30 | |||
|- | |||
!112th-prime | |||
|16th- & 14th-prime | |||
|7/4.13/4.17/16.19/8.23/14.29/7.31/7.33/7 | |||
|} | |} | ||
| Line 148: | Line 189: | ||
{| class="wikitable mw-collapsible" | {| class="wikitable mw-collapsible" | ||
|+ | |+ | ||
Intervals of 26ed5 | Intervals of 26ed5 (Loose subgroups used) | ||
! rowspan="2" |Step | ! rowspan="2" |Step | ||
! rowspan="2" |Cents | ! rowspan="2" |Cents | ||