Odd prime sum limit: Difference between revisions

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The 1- and 2-odd-prime-sum-limit are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}. The 3- and 4-odd-prime-sum-limit are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}. All edos are consistent in those limits.

The 5-odd-prime-sum-limit ~~adds~~ {[[5/4]], [[8/5]]} ~~without~~ {[[5/3]], [[6/5]]} ~~from~~ the ~~[[5~~-~~odd-limit]]~~, ~~so it is~~ the ~~first OPSL that differs from the corresponding odd limit. The~~ 6-odd-prime-sum-limit adds {[[9/8]], [[16/9]]}. The 7-odd-prime-sum-limit adds {[[7/4]], [[8/7]]} ~~without~~ {[[7/6]], [[12/7]]}, and the 8-odd-prime-sum-limit adds {5/3, 6/5} ~~as well as~~ {[[15/8]], [[16/15]]}~~. The~~ 9-odd-prime-sum-limit adds {[[27/16]], [[32/27]]}, and the 10-odd-prime-sum-limit adds ~~{7/6, 12/7},~~ {[[21/16]], [[32/21]]}, ~~and~~ {[[25/16]], [[32/25]]}~~. The 11-odd-prime-sum-limit adds~~ {[[11/8]], [[16/11]]}, {[[9/5]], [[10/9]]}, ~~and~~ {[[45/32]], [[64/45]]}~~. The 12-odd-prime-sum-limit adds~~ {[[7/5]], [[10/7]]}, {[[35/32]], [[64/35]]} and {[[81/64]], [[~~128~~/81]]}.

The 5-odd-prime-sum-limit is also equivalent to the [[5-odd-limit]], adding {[[5/4]], [[8/5]]} and {[[5/3]], [[6/5]]} to the 4-OPSL, and the 6-odd-prime-sum-limit adds {[[9/8]], [[16/9]]} and {[[9/5]], [[10/9]]}. The 7-odd-prime-sum-limit is equivalent to the [[9-odd-limit]], so it is the first OPSL that differs from the corresponding odd limit. It adds {[[7/4]], [[8/7]]}, {[[7/6]], [[12/7]]}, {[[7/5]], [[10/7]]}, and {[[9/7]], [[14/9]]} to the 6-OPSL. The 8-odd-prime-sum-limit adds {[[15/8]], [[16/15]]} and {[[15/14]], [[28/15]]}, the 9-odd-prime-sum-limit adds {[[27/16]], [[32/27]]}, {[[27/14]], [[28/27]]}, and {[[27/20]], [[40/27]]}, and the 10-odd-prime-sum-limit adds {[[21/16]], [[32/21]]}, {[[21/20]], [[40/21]]}, {[[25/16]], [[32/25]]}, {[[25/24]], [[48/25]]}, {[[25/14]], [[28/25]]}, {[[25/18]], [[36/25]]}, {[[25/21]], [[42/25]]}, and {[[27/25]], [[50/27]]}.

== Minimal OPSL-consistent edos ==

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=== Comparison between odd-limit and WOPSL ===

~~The~~ 1- and 2-WOPSL are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}~~. The~~ 3- and 4-WOPSL are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}~~. All edos are consistent in those limits~~.

Just like with OPSLs, the 1- and 2-WOPSL are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}, and the 3- and 4-WOPSL are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}.

The 5-WOPSL adds {[[5/4]], [[8/5]]} without {[[5/3]], [[6/5]]} from the [[5-odd-limit]], so it is the first WOPSL that differs from the corresponding odd limit. The 6-WOPSL adds {[[9/8]], [[16/9]]}. The 7-WOPSL adds {[[7/4]], [[8/7]]} without {[[7/6]], [[12/7]]}, and the 8-WOPSL adds {5/3, 6/5} as well as {[[15/8]], [[16/15]]}. The 9-WOPSL adds {[[27/16]], [[32/27]]}, and the 10-WOPSL adds {7/6, 12/7}, {[[21/16]], [[32/21]]}, and {[[25/16]], [[32/25]]}. The 11-WOPSL adds {[[11/8]], [[16/11]]}, {[[9/5]], [[10/9]]}, and {[[45/32]], [[64/45]]}. The 12-WOPSL adds {[[7/5]], [[10/7]]}, {[[35/32]], [[64/35]]} and {[[81/64]], [[128/81]]}.

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 The 1- and 2-odd-prime-sum-limit are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}. The 3- and 4-odd-prime-sum-limit are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}. All edos are consistent in those limits.
-The 5-odd-prime-sum-limit adds {[[5/4]], [[8/5]]} without {[[5/3]], [[6/5]]} from the [[5-odd-limit]], so it is the first OPSL that differs from the corresponding odd limit. The 6-odd-prime-sum-limit adds {[[9/8]], [[16/9]]}. The 7-odd-prime-sum-limit adds {[[7/4]], [[8/7]]} without {[[7/6]], [[12/7]]}, and the 8-odd-prime-sum-limit adds {5/3, 6/5} as well as {[[15/8]], [[16/15]]}. The 9-odd-prime-sum-limit adds {[[27/16]], [[32/27]]}, and the 10-odd-prime-sum-limit adds {7/6, 12/7}, {[[21/16]], [[32/21]]}, and {[[25/16]], [[32/25]]}. The 11-odd-prime-sum-limit adds {[[11/8]], [[16/11]]}, {[[9/5]], [[10/9]]}, and {[[45/32]], [[64/45]]}. The 12-odd-prime-sum-limit adds {[[7/5]], [[10/7]]}, {[[35/32]], [[64/35]]} and {[[81/64]], [[128/81]]}.
+The 5-odd-prime-sum-limit is also equivalent to the [[5-odd-limit]], adding {[[5/4]], [[8/5]]} and {[[5/3]], [[6/5]]} to the 4-OPSL, and the 6-odd-prime-sum-limit adds {[[9/8]], [[16/9]]} and {[[9/5]], [[10/9]]}. The 7-odd-prime-sum-limit is equivalent to the [[9-odd-limit]], so it is the first OPSL that differs from the corresponding odd limit. It adds {[[7/4]], [[8/7]]}, {[[7/6]], [[12/7]]}, {[[7/5]], [[10/7]]}, and {[[9/7]], [[14/9]]} to the 6-OPSL. The 8-odd-prime-sum-limit adds {[[15/8]], [[16/15]]} and {[[15/14]], [[28/15]]}, the 9-odd-prime-sum-limit adds {[[27/16]], [[32/27]]}, {[[27/14]], [[28/27]]}, and {[[27/20]], [[40/27]]}, and the 10-odd-prime-sum-limit adds {[[21/16]], [[32/21]]}, {[[21/20]], [[40/21]]}, {[[25/16]], [[32/25]]}, {[[25/24]], [[48/25]]}, {[[25/14]], [[28/25]]}, {[[25/18]], [[36/25]]}, {[[25/21]], [[42/25]]}, and {[[27/25]], [[50/27]]}.
 == Minimal OPSL-consistent edos ==
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 === Comparison between odd-limit and WOPSL ===
-The 1- and 2-WOPSL are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}. The 3- and 4-WOPSL are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}. All edos are consistent in those limits.
+Just like with OPSLs, the 1- and 2-WOPSL are equivalent to the [[1-odd-limit]], which only contains a single interval pair {[[1/1]], [[2/1]]}, and the 3- and 4-WOPSL are equivalent to the [[3-odd-limit]], which adds {[[3/2]], [[4/3]]}.
 The 5-WOPSL adds {[[5/4]], [[8/5]]} without {[[5/3]], [[6/5]]} from the [[5-odd-limit]], so it is the first WOPSL that differs from the corresponding odd limit. The 6-WOPSL adds {[[9/8]], [[16/9]]}. The 7-WOPSL adds {[[7/4]], [[8/7]]} without {[[7/6]], [[12/7]]}, and the 8-WOPSL adds {5/3, 6/5} as well as {[[15/8]], [[16/15]]}. The 9-WOPSL adds {[[27/16]], [[32/27]]}, and the 10-WOPSL adds {7/6, 12/7}, {[[21/16]], [[32/21]]}, and {[[25/16]], [[32/25]]}. The 11-WOPSL adds {[[11/8]], [[16/11]]}, {[[9/5]], [[10/9]]}, and {[[45/32]], [[64/45]]}. The 12-WOPSL adds {[[7/5]], [[10/7]]}, {[[35/32]], [[64/35]]} and {[[81/64]], [[128/81]]}.