EDO: Difference between revisions
m edo -> EDO, table cleanup |
→Pergens: remove center-alignment of cells (doesn't look good in this case), replace " by the EDO (the " shortcut is a usability nightmare in wikitext) |
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[[Pergen]]s provide a JI-agnostic way to name the rank-2 scales of an EDO. This table lists every possible period/generator combination for EDOs 5-24, and for each coprime combination, the simplest pergen that it can represent. Non-coprime combinations such as P = 6\12, G = 4\12 are marked as "-". | [[Pergen]]s provide a JI-agnostic way to name the rank-2 scales of an EDO. This table lists every possible period/generator combination for EDOs 5-24, and for each coprime combination, the simplest pergen that it can represent. Non-coprime combinations such as P = 6\12, G = 4\12 are marked as "-". | ||
{| class="wikitable | {| class="wikitable" | ||
|- | |- | ||
! EDO | ! EDO | ||
| Line 502: | Line 502: | ||
| | | | ||
|- | |- | ||
! | ! 6 | ||
! 3 = P8/2 | ! 3 = P8/2 | ||
| P5 | | P5 | ||
| Line 544: | Line 544: | ||
| | | | ||
|- | |- | ||
! | ! 8 | ||
! 4 = P8/2 | ! 4 = P8/2 | ||
| P5 | | P5 | ||
| Line 572: | Line 572: | ||
| | | | ||
|- | |- | ||
! | ! 9 | ||
! 3 = P8/3 | ! 3 = P8/3 | ||
| P5 | | P5 | ||
| Line 600: | Line 600: | ||
| | | | ||
|- | |- | ||
! | ! 10 | ||
! 5 = P8/2 | ! 5 = P8/2 | ||
| P5 | | P5 | ||
| Line 642: | Line 642: | ||
| | | | ||
|- | |- | ||
! | ! 12 | ||
! 6 = P8/2 | ! 6 = P8/2 | ||
| P5 | | P5 | ||
| Line 656: | Line 656: | ||
| | | | ||
|- | |- | ||
! | ! 12 | ||
! 4 = P8/3 | ! 4 = P8/3 | ||
| P5 | | P5 | ||
| Line 670: | Line 670: | ||
| | | | ||
|- | |- | ||
! | ! 12 | ||
! 3 = P8/4 | ! 3 = P8/4 | ||
| P5 | | P5 | ||
| Line 712: | Line 712: | ||
| | | | ||
|- | |- | ||
! | ! 14 | ||
! 7 = P8/2 | ! 7 = P8/2 | ||
| P5 | | P5 | ||
| Line 740: | Line 740: | ||
| | | | ||
|- | |- | ||
! | ! 15 | ||
! 5 = P8/3 | ! 5 = P8/3 | ||
| P5 | | P5 | ||
| Line 754: | Line 754: | ||
| | | | ||
|- | |- | ||
! | ! 15 | ||
! 3 = P8/5 | ! 3 = P8/5 | ||
| P4/3 | | P4/3 | ||
| Line 782: | Line 782: | ||
| | | | ||
|- | |- | ||
! | ! 16 | ||
! 8 = P8/2 | ! 8 = P8/2 | ||
| P5 | | P5 | ||
| Line 796: | Line 796: | ||
| | | | ||
|- | |- | ||
! | ! 16 | ||
! 4 = P8/4 | ! 4 = P8/4 | ||
| P5 | | P5 | ||
| Line 838: | Line 838: | ||
| | | | ||
|- | |- | ||
! | ! 18b | ||
! 9 = P8/2 | ! 9 = P8/2 | ||
| P5 | | P5 | ||
| Line 852: | Line 852: | ||
| | | | ||
|- | |- | ||
! | ! 18b | ||
! 6 = P8/3 | ! 6 = P8/3 | ||
| P5/2 | | P5/2 | ||
| Line 866: | Line 866: | ||
| | | | ||
|- | |- | ||
! | ! 18b | ||
! 3 = P8/6 | ! 3 = P8/6 | ||
| P5 | | P5 | ||
| Line 908: | Line 908: | ||
| | | | ||
|- | |- | ||
! | ! 20 | ||
! 10 = P8/2 | ! 10 = P8/2 | ||
| M2/4 | | M2/4 | ||
| Line 922: | Line 922: | ||
| | | | ||
|- | |- | ||
! | ! 20 | ||
! 5 = P8/4 | ! 5 = P8/4 | ||
| P4/2 | | P4/2 | ||
| Line 936: | Line 936: | ||
| | | | ||
|- | |- | ||
! | ! 20 | ||
! 4 = P8/5 | ! 4 = P8/5 | ||
| P5/4 | | P5/4 | ||
| Line 964: | Line 964: | ||
| | | | ||
|- | |- | ||
! | ! 21 | ||
! 7 = P8/3 | ! 7 = P8/3 | ||
| P5/2 | | P5/2 | ||
| Line 978: | Line 978: | ||
| | | | ||
|- | |- | ||
! | ! 21 | ||
! 3 = P8/7 | ! 3 = P8/7 | ||
| P5/3 | | P5/3 | ||
| Line 1,006: | Line 1,006: | ||
| | | | ||
|- | |- | ||
! | ! 22 | ||
! 11 = P8/2 | ! 11 = P8/2 | ||
| M2/4 | | M2/4 | ||
| Line 1,048: | Line 1,048: | ||
| W<sup>4</sup>P5/10 | | W<sup>4</sup>P5/10 | ||
|- | |- | ||
! | ! 24 | ||
! 12 = P8/2 | ! 12 = P8/2 | ||
| M2/4 | | M2/4 | ||
| Line 1,062: | Line 1,062: | ||
| | | | ||
|- | |- | ||
! | ! 24 | ||
! 8 = P8/3 | ! 8 = P8/3 | ||
| P5/2 | | P5/2 | ||
| Line 1,076: | Line 1,076: | ||
| | | | ||
|- | |- | ||
! | ! 24 | ||
! 6 = P8/4 | ! 6 = P8/4 | ||
| P4/2 | | P4/2 | ||
| Line 1,090: | Line 1,090: | ||
| | | | ||
|- | |- | ||
! | ! 24 | ||
! 4 = P8/6 | ! 4 = P8/6 | ||
| P4/2 | | P4/2 | ||
| Line 1,104: | Line 1,104: | ||
| | | | ||
|- | |- | ||
! | ! 24 | ||
! 3 = P8/8 | ! 3 = P8/8 | ||
| P5 | | P5 | ||