34zpi: Difference between revisions
Contribution (talk | contribs) No edit summary |
Contribution (talk | contribs) |
||
Line 34: | Line 34: | ||
{| class="wikitable center-1 right-2 left-3 center-4" | {| class="wikitable center-1 right-2 left-3 center-4" | ||
|- | |- | ||
| colspan="3" style="text-align:left;" | JI ratios are comprised of | | colspan="3" style="text-align:left;" | JI ratios are comprised of 32-integer limit ratios,<br>and are stylized as follows to indicate their accuracy: | ||
* '''<u>Bold Underlined:</u>''' relative error < 8.333 % | * '''<u>Bold Underlined:</u>''' relative error < 8.333 % | ||
* '''Bold:''' relative error < 16.667 % | * '''Bold:''' relative error < 16.667 % | ||
Line 55: | Line 55: | ||
| 1 | | 1 | ||
| 99.807 | | 99.807 | ||
| '''[[16/15]]''', [[15/14]], <small>[[14/13]]</small>, <small><small>[[13/12]]</small></small> | | <small><small><small>[[32/31]]</small></small></small>, <small><small><small>[[31/30]]</small></small></small>, <small><small>[[30/29]]</small></small>, <small><small>[[29/28]]</small></small>, <small><small>[[28/27]]</small></small>, <small><small>[[27/26]]</small></small>, <small>[[26/25]]</small>, <small>[[25/24]]</small>, <small>[[24/23]]</small>, [[23/22]], [[22/21]], '''[[21/20]]''', '''[[20/19]]''', '''<u>[[19/18]]'''</u>, '''<u>[[18/17]]'''</u>, '''<u>[[17/16]]'''</u>, '''[[16/15]]''', '''[[31/29]]''', [[15/14]], [[29/27]], <small>[[14/13]]</small>, <small><small>[[27/25]]</small></small>, <small><small>[[13/12]]</small></small>, <small><small><small>[[25/23]]</small></small></small> | ||
| m2 | | m2 | ||
|- | |- | ||
| 2 | | 2 | ||
| 199.614 | | 199.614 | ||
| <small><small><small>[[12/11]]</small></small></small>, <small><small>[[11/10]]</small></small>, [[10/9]], '''<u>[[9/8]]'''</u>, <small>[[8/7]]</small>, <small><small><small>[[15/13]]</small></small></small> | | <small><small><small>[[12/11]]</small></small></small>, <small><small><small>[[23/21]]</small></small></small>, <small><small>[[11/10]]</small></small>, <small>[[32/29]]</small>, <small>[[21/19]]</small>, [[31/28]], [[10/9]], '''[[29/26]]''', '''<u>[[19/17]]'''</u>, '''<u>[[28/25]]'''</u>, '''<u>[[9/8]]'''</u>, '''[[26/23]]''', [[17/15]], [[25/22]], <small>[[8/7]]</small>, <small><small>[[31/27]]</small></small>, <small><small><small>[[23/20]]</small></small></small>, <small><small><small>[[15/13]]</small></small></small> | ||
| M2 | | M2 | ||
|- | |- | ||
| 3 | | 3 | ||
| 299.422 | | 299.422 | ||
| <small>[[7/6]]</small>, '''[[13/11]]''', '''[[6/5]]''', <small><small><small>[[11/9]]</small></small></small> | | <small><small><small>[[22/19]]</small></small></small>, <small><small><small>[[29/25]]</small></small></small>, <small>[[7/6]]</small>, [[27/23]], [[20/17]], '''[[13/11]]''', '''<u>[[32/27]]'''</u>, '''<u>[[19/16]]'''</u>, '''<u>[[25/21]]'''</u>, '''<u>[[31/26]]'''</u>, '''[[6/5]]''', <small>[[29/24]]</small>, <small>[[23/19]]</small>, <small><small>[[17/14]]</small></small>, <small><small>[[28/23]]</small></small>, <small><small><small>[[11/9]]</small></small></small> | ||
| m3 | | m3 | ||
|- | |- | ||
| 4 | | 4 | ||
| 399.229 | | 399.229 | ||
| <small><small>[[16/13]]</small></small>, '''[[5/4]]''', [[14/11]], <small><small>[[9/7]]</small></small> | | <small><small><small>[[27/22]]</small></small></small>, <small><small>[[16/13]]</small></small>, <small><small>[[21/17]]</small></small>, <small>[[26/21]]</small>, <small>[[31/25]]</small>, '''[[5/4]]''', '''<u>[[29/23]]'''</u>, '''<u>[[24/19]]'''</u>, '''[[19/15]]''', [[14/11]], <small>[[23/18]]</small>, <small>[[32/25]]</small>, <small><small>[[9/7]]</small></small>, <small><small><small>[[31/24]]</small></small></small>, <small><small><small>[[22/17]]</small></small></small> | ||
| M3 | | M3 | ||
|- | |- | ||
| 5 | | 5 | ||
| 499.036 | | 499.036 | ||
| <small><small><small>[[13/10]]</small></small></small>, '''<u>[[4/3]]'''</u>, <small><small>[[15/11]]</small></small> | | <small><small><small>[[13/10]]</small></small></small>, <small><small>[[30/23]]</small></small>, <small><small>[[17/13]]</small></small>, <small>[[21/16]]</small>, [[25/19]], [[29/22]], '''<u>[[4/3]]'''</u>, [[31/23]], [[27/20]], [[23/17]], <small>[[19/14]]</small>, <small><small>[[15/11]]</small></small>, <small><small><small>[[26/19]]</small></small></small> | ||
| P4 | | P4 | ||
|- | |- | ||
| 6 | | 6 | ||
| 598.843 | | 598.843 | ||
| <small><small><small>[[11/8]]</small></small></small>, '''[[7/5]]''', [[10/7]], <small><small>[[13/9]]</small></small>, <small><small><small>[[16/11]]</small></small></small> | | <small><small><small>[[11/8]]</small></small></small>, <small><small>[[29/21]]</small></small>, <small><small>[[18/13]]</small></small>, <small>[[25/18]]</small>, <small>[[32/23]]</small>, '''[[7/5]]''', '''<u>[[31/22]]'''</u>, '''<u>[[24/17]]'''</u>, '''<u>[[17/12]]'''</u>, '''[[27/19]]''', [[10/7]], <small>[[23/16]]</small>, <small><small>[[13/9]]</small></small>, <small><small><small>[[29/20]]</small></small></small>, <small><small><small>[[16/11]]</small></small></small> | ||
| A4, d5 | | A4, d5 | ||
|- | |- | ||
| 7 | | 7 | ||
| 698.650 | | 698.650 | ||
| '''<u>[[3/2]]'''</u> | | <small><small><small>[[19/13]]</small></small></small>, <small><small>[[22/15]]</small></small>, <small>[[25/17]]</small>, <small>[[28/19]]</small>, [[31/21]], '''<u>[[3/2]]'''</u>, <small>[[32/21]]</small>, <small><small>[[29/19]]</small></small>, <small><small>[[26/17]]</small></small>, <small><small>[[23/15]]</small></small>, <small><small><small>[[20/13]]</small></small></small> | ||
| P5 | | P5 | ||
|- | |- | ||
| 8 | | 8 | ||
| 798.457 | | 798.457 | ||
| <small><small>[[14/9]]</small></small>, '''[[11/7]]''', '''[[8/5]]''', <small><small><small>[[13/8]]</small></small></small> | | <small><small><small>[[17/11]]</small></small></small>, <small><small>[[31/20]]</small></small>, <small><small>[[14/9]]</small></small>, <small>[[25/16]]</small>, '''[[11/7]]''', '''<u>[[30/19]]'''</u>, '''<u>[[19/12]]'''</u>, '''<u>[[27/17]]'''</u>, '''[[8/5]]''', <small>[[29/18]]</small>, <small>[[21/13]]</small>, <small><small><small>[[13/8]]</small></small></small>, <small><small><small>[[31/19]]</small></small></small> | ||
| m6 | | m6 | ||
|- | |- | ||
| 9 | | 9 | ||
| 898.265 | | 898.265 | ||
| '''[[5/3]]''', <small><small>[[12/7]]</small></small> | | <small><small><small>[[18/11]]</small></small></small>, <small><small>[[23/14]]</small></small>, <small><small>[[28/17]]</small></small>, '''[[5/3]]''', '''<u>[[32/19]]'''</u>, '''<u>[[27/16]]'''</u>, '''[[22/13]]''', [[17/10]], <small>[[29/17]]</small>, <small><small>[[12/7]]</small></small>, <small><small><small>[[31/18]]</small></small></small>, <small><small><small>[[19/11]]</small></small></small> | ||
| M6 | | M6 | ||
|- | |- | ||
| 10 | | 10 | ||
| 998.072 | | 998.072 | ||
| <small>[[7/4]]</small>, '''<u>[[16/9]]'''</u>, [[9/5]] | | <small><small><small>[[26/15]]</small></small></small>, <small>[[7/4]]</small>, '''[[30/17]]''', '''[[23/13]]''', '''<u>[[16/9]]'''</u>, '''<u>[[25/14]]'''</u>, [[9/5]], <small>[[29/16]]</small>, <small><small>[[20/11]]</small></small>, <small><small><small>[[31/17]]</small></small></small> | ||
| m7 | | m7 | ||
|- | |- | ||
| 11 | | 11 | ||
| 1097.879 | | 1097.879 | ||
| <small><small><small>[[11/6]]</small></small></small>, <small>[[13/7]]</small>, '''[[15/8]]''' | | <small><small><small>[[11/6]]</small></small></small>, <small><small>[[24/13]]</small></small>, <small>[[13/7]]</small>, [[28/15]], '''[[15/8]]''', '''<u>[[32/17]]'''</u>, '''<u>[[17/9]]'''</u>, '''[[19/10]]''', [[21/11]], <small>[[23/12]]</small>, <small><small>[[25/13]]</small></small>, <small><small>[[27/14]]</small></small>, <small><small><small>[[29/15]]</small></small></small>, <small><small><small>[[31/16]]</small></small></small> | ||
| M7 | | M7 | ||
|- | |- | ||
Line 115: | Line 115: | ||
| 13 | | 13 | ||
| 1297.493 | | 1297.493 | ||
| [[15/7]], <small><small>[[13/6]]</small></small> | | <small><small>[[31/15]]</small></small>, <small><small>[[29/14]]</small></small>, <small>[[27/13]]</small>, <small>[[25/12]]</small>, [[23/11]], '''[[21/10]]''', '''<u>[[19/9]]'''</u>, '''<u>[[17/8]]'''</u>, '''[[32/15]]''', [[15/7]], <small>[[28/13]]</small>, <small><small>[[13/6]]</small></small> | ||
| m2 +1 oct | | m2 +1 oct | ||
|- | |- | ||
| 14 | | 14 | ||
| 1397.301 | | 1397.301 | ||
| <small>[[11/5]]</small>, '''<u>[[9/4]]'''</u>, <small><small>[[16/7]]</small></small> | | <small><small><small>[[24/11]]</small></small></small>, <small>[[11/5]]</small>, [[31/14]], '''[[20/9]]''', '''<u>[[29/13]]'''</u>, '''<u>[[9/4]]'''</u>, [[25/11]], <small><small>[[16/7]]</small></small>, <small><small><small>[[23/10]]</small></small></small> | ||
| M2 +1 oct | | M2 +1 oct | ||
|- | |- | ||
| 15 | | 15 | ||
| 1497.108 | | 1497.108 | ||
| <small>[[7/3]]</small>, [[12/5]] | | <small><small><small>[[30/13]]</small></small></small>, <small>[[7/3]]</small>, '''<u>[[26/11]]'''</u>, '''<u>[[19/8]]'''</u>, '''<u>[[31/13]]'''</u>, [[12/5]], <small>[[29/12]]</small>, <small><small>[[17/7]]</small></small> | ||
| m3 +1 oct | | m3 +1 oct | ||
|- | |- | ||
| 16 | | 16 | ||
| 1596.915 | | 1596.915 | ||
| '''[[5/2]]''' | | <small><small><small>[[22/9]]</small></small></small>, <small><small><small>[[27/11]]</small></small></small>, <small><small>[[32/13]]</small></small>, '''[[5/2]]''', [[28/11]], <small>[[23/9]]</small>, <small><small>[[18/7]]</small></small>, <small><small><small>[[31/12]]</small></small></small> | ||
| M3 +1 oct | | M3 +1 oct | ||
|- | |- | ||
| 17 | | 17 | ||
| 1696.722 | | 1696.722 | ||
| <small><small><small>[[13/5]]</small></small></small>, '''<u>[[8/3]]'''</u> | | <small><small><small>[[13/5]]</small></small></small>, <small>[[21/8]]</small>, [[29/11]], '''<u>[[8/3]]'''</u>, [[27/10]], <small>[[19/7]]</small>, <small><small>[[30/11]]</small></small> | ||
| P4 +1 oct | | P4 +1 oct | ||
|- | |- | ||
| 18 | | 18 | ||
| 1796.529 | | 1796.529 | ||
| <small><small><small>[[11/4]]</small></small></small>, '''[[14/5]]''' | | <small><small><small>[[11/4]]</small></small></small>, <small>[[25/9]]</small>, '''[[14/5]]''', '''<u>[[31/11]]'''</u>, '''<u>[[17/6]]'''</u>, [[20/7]], <small>[[23/8]]</small>, <small><small>[[26/9]]</small></small>, <small><small><small>[[29/10]]</small></small></small> | ||
| A4 +1 oct, d5 +1 oct | | A4 +1 oct, d5 +1 oct | ||
|- | |- | ||
| 19 | | 19 | ||
| 1896.336 | | 1896.336 | ||
| '''<u>[[3/1]]'''</u> | | <small><small><small>[[32/11]]</small></small></small>, '''<u>[[3/1]]'''</u> | ||
| P5 +1 oct | | P5 +1 oct | ||
|- | |- | ||
| 20 | | 20 | ||
| 1996.144 | | 1996.144 | ||
| [[16/5]], <small><small><small>[[13/4]]</small></small></small> | | <small><small>[[31/10]]</small></small>, <small>[[28/9]]</small>, [[25/8]], '''[[22/7]]''', '''<u>[[19/6]]'''</u>, [[16/5]], <small>[[29/9]]</small>, <small><small><small>[[13/4]]</small></small></small> | ||
| m6 +1 oct | | m6 +1 oct | ||
|- | |- | ||
| 21 | | 21 | ||
| 2095.951 | | 2095.951 | ||
| '''[[10/3]]''' | | <small><small>[[23/7]]</small></small>, '''[[10/3]]''', '''[[27/8]]''', [[17/5]], <small><small>[[24/7]]</small></small>, <small><small><small>[[31/9]]</small></small></small> | ||
| M6 +1 oct | | M6 +1 oct | ||
|- | |- | ||
| 22 | | 22 | ||
| 2195.758 | | 2195.758 | ||
| <small>[[7/2]]</small> | | <small>[[7/2]]</small>, '''<u>[[32/9]]'''</u>, '''<u>[[25/7]]'''</u>, [[18/5]], <small><small>[[29/8]]</small></small> | ||
| m7 +1 oct | | m7 +1 oct | ||
|- | |- | ||
| 23 | | 23 | ||
| 2295.565 | | 2295.565 | ||
| <small><small><small>[[11/3]]</small></small></small>, '''<u>[[15/4]]'''</u> | | <small><small><small>[[11/3]]</small></small></small>, [[26/7]], '''<u>[[15/4]]'''</u>, '''[[19/5]]''', <small>[[23/6]]</small>, <small><small>[[27/7]]</small></small>, <small><small><small>[[31/8]]</small></small></small> | ||
| M7 +1 oct | | M7 +1 oct | ||
|- | |- | ||
Line 175: | Line 175: | ||
| 25 | | 25 | ||
| 2495.180 | | 2495.180 | ||
| <small><small><small>[[13/3]]</small></small></small> | | <small><small>[[29/7]]</small></small>, [[25/6]], '''[[21/5]]''', '''[[17/4]]''', [[30/7]], <small><small><small>[[13/3]]</small></small></small> | ||
| m2 +2 oct | | m2 +2 oct | ||
|- | |- | ||
| 26 | | 26 | ||
| 2594.987 | | 2594.987 | ||
| '''[[9/2]]''' | | <small>[[22/5]]</small>, [[31/7]], '''[[9/2]]''', <small><small>[[32/7]]</small></small>, <small><small><small>[[23/5]]</small></small></small> | ||
| M2 +2 oct | | M2 +2 oct | ||
|- | |- | ||
| 27 | | 27 | ||
| 2694.794 | | 2694.794 | ||
| <small>[[14/3]]</small> | | <small>[[14/3]]</small>, '''<u>[[19/4]]'''</u>, [[24/5]], <small>[[29/6]]</small> | ||
| m3 +2 oct | | m3 +2 oct | ||
|- | |- | ||
| 28 | | 28 | ||
| 2794.601 | | 2794.601 | ||
| '''<u>[[5/1]]'''</u> | | '''<u>[[5/1]]'''</u>, <small><small><small>[[31/6]]</small></small></small> | ||
| M3 +2 oct | | M3 +2 oct | ||
|- | |- | ||
| 29 | | 29 | ||
| 2894.408 | | 2894.408 | ||
| '''<u>[[16/3]]'''</u> | | <small><small>[[26/5]]</small></small>, [[21/4]], '''<u>[[16/3]]'''</u>, <small>[[27/5]]</small> | ||
| P4 +2 oct | | P4 +2 oct | ||
|- | |- | ||
| 30 | | 30 | ||
| 2994.215 | | 2994.215 | ||
| <small><small><small>[[11/2]]</small></small></small> | | <small><small><small>[[11/2]]</small></small></small>, '''[[28/5]]''', '''[[17/3]]''', <small><small>[[23/4]]</small></small>, <small><small><small>[[29/5]]</small></small></small> | ||
| A4 +2 oct, d5 +2 oct | | A4 +2 oct, d5 +2 oct | ||
|- | |- | ||
Line 210: | Line 210: | ||
| 32 | | 32 | ||
| 3193.830 | | 3193.830 | ||
| <small><small><small>[[13/2]]</small></small></small> | | <small><small>[[31/5]]</small></small>, [[25/4]], '''<u>[[19/3]]'''</u>, [[32/5]], <small><small><small>[[13/2]]</small></small></small> | ||
| m6 +2 oct | | m6 +2 oct | ||
|- | |- | ||
| 33 | | 33 | ||
| 3293.637 | | 3293.637 | ||
| | | '''[[20/3]]''', '''[[27/4]]''' | ||
| M6 +2 oct | | M6 +2 oct | ||
|- | |- | ||
| 34 | | 34 | ||
| 3393.444 | | 3393.444 | ||
| [[7/1]] | | [[7/1]], <small><small>[[29/4]]</small></small> | ||
| m7 +2 oct | | m7 +2 oct | ||
|- | |- | ||
| 35 | | 35 | ||
| 3493.251 | | 3493.251 | ||
| '''<u>[[15/2]]'''</u> | | <small><small><small>[[22/3]]</small></small></small>, '''<u>[[15/2]]'''</u>, <small>[[23/3]]</small> | ||
| M7 +2 oct | | M7 +2 oct | ||
|- | |- | ||
| 36 | | 36 | ||
| 3593.059 | | 3593.059 | ||
| '''<u>[[8/1]]'''</u> | | <small><small><small>[[31/4]]</small></small></small>, '''<u>[[8/1]]'''</u> | ||
| P1 +3 oct | | P1 +3 oct | ||
|- | |- | ||
| 37 | | 37 | ||
| 3692.866 | | 3692.866 | ||
| | | [[25/3]], '''[[17/2]]''', <small><small><small>[[26/3]]</small></small></small> | ||
| m2 +3 oct | | m2 +3 oct | ||
|- | |- | ||
Line 245: | Line 245: | ||
| 39 | | 39 | ||
| 3892.480 | | 3892.480 | ||
| | | <small>[[28/3]]</small>, '''<u>[[19/2]]'''</u>, <small><small>[[29/3]]</small></small> | ||
| m3 +3 oct | | m3 +3 oct | ||
|- | |- | ||
Line 255: | Line 255: | ||
| 41 | | 41 | ||
| 4092.094 | | 4092.094 | ||
| | | <small><small><small>[[31/3]]</small></small></small>, [[21/2]], '''<u>[[32/3]]'''</u> | ||
| P4 +3 oct | | P4 +3 oct | ||
|- | |- | ||
| 42 | | 42 | ||
| 4191.902 | | 4191.902 | ||
| <small><small>[[11/1]]</small></small> | | <small><small>[[11/1]]</small></small>, <small><small>[[23/2]]</small></small> | ||
| A4 +3 oct, d5 +3 oct | | A4 +3 oct, d5 +3 oct | ||
|- | |- | ||
Line 270: | Line 270: | ||
| 44 | | 44 | ||
| 4391.516 | | 4391.516 | ||
| <small><small><small>[[13/1]]</small></small></small> | | [[25/2]], <small><small><small>[[13/1]]</small></small></small> | ||
| m6 +3 oct | | m6 +3 oct | ||
|- | |- | ||
| 45 | | 45 | ||
| 4491.323 | | 4491.323 | ||
| | | '''[[27/2]]''' | ||
| M6 +3 oct | | M6 +3 oct | ||
|- | |- | ||
| 46 | | 46 | ||
| 4591.130 | | 4591.130 | ||
| [[14/1]] | | [[14/1]], <small><small>[[29/2]]</small></small> | ||
| m7 +3 oct | | m7 +3 oct | ||
|- | |- | ||
Line 290: | Line 290: | ||
| 48 | | 48 | ||
| 4790.745 | | 4790.745 | ||
| '''[[16/1]]''' | | <small><small><small>[[31/2]]</small></small></small>, '''[[16/1]]''' | ||
| P1 +4 oct | | P1 +4 oct | ||
|- | |||
| 49 | |||
| 4890.552 | |||
| '''[[17/1]]''' | |||
| m2 +4 oct | |||
|- | |||
| 50 | |||
| 4990.359 | |||
| '''[[18/1]]''' | |||
| M2 +4 oct | |||
|- | |||
| 51 | |||
| 5090.166 | |||
| '''<u>[[19/1]]'''</u> | |||
| m3 +4 oct | |||
|- | |||
| 52 | |||
| 5189.973 | |||
| '''<u>[[20/1]]'''</u> | |||
| M3 +4 oct | |||
|- | |||
| 53 | |||
| 5289.781 | |||
| [[21/1]] | |||
| P4 +4 oct | |||
|- | |||
| 54 | |||
| 5389.588 | |||
| <small><small>[[22/1]]</small></small>, <small><small>[[23/1]]</small></small> | |||
| A4 +4 oct, d5 +4 oct | |||
|- | |||
| 55 | |||
| 5489.395 | |||
| '''[[24/1]]''' | |||
| P5 +4 oct | |||
|- | |||
| 56 | |||
| 5589.202 | |||
| '''[[25/1]]''' | |||
| m6 +4 oct | |||
|- | |||
| 57 | |||
| 5689.009 | |||
| <small><small><small>[[26/1]]</small></small></small>, [[27/1]] | |||
| M6 +4 oct | |||
|- | |||
| 58 | |||
| 5788.816 | |||
| [[28/1]], <small><small>[[29/1]]</small></small> | |||
| m7 +4 oct | |||
|- | |||
| 59 | |||
| 5888.624 | |||
| '''<u>[[30/1]]'''</u> | |||
| M7 +4 oct | |||
|- | |||
| 60 | |||
| 5988.431 | |||
| <small><small><small>[[31/1]]</small></small></small>, '''[[32/1]]''' | |||
| P1 +5 oct | |||
|} | |} | ||