|
|
| Line 34: |
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| {| 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 32-integer limit ratios,<br>and are stylized as follows to indicate their accuracy: | | | colspan="3" style="text-align:left;" | JI ratios are comprised of 16-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 |
| | <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> | | | '''[[16/15]]''', [[15/14]], <small>[[14/13]]</small>, <small><small>[[13/12]]</small></small> |
| | m2 | | | m2 |
| |- | | |- |
| | 2 | | | 2 |
| | 199.614 | | | 199.614 |
| | <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> | | | <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> |
| | M2 | | | M2 |
| |- | | |- |
| | 3 | | | 3 |
| | 299.422 | | | 299.422 |
| | <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> | | | <small>[[7/6]]</small>, '''[[13/11]]''', '''[[6/5]]''', <small><small><small>[[11/9]]</small></small></small> |
| | m3 | | | m3 |
| |- | | |- |
| | 4 | | | 4 |
| | 399.229 | | | 399.229 |
| | <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> | | | <small><small>[[16/13]]</small></small>, '''[[5/4]]''', [[14/11]], <small><small>[[9/7]]</small></small> |
| | M3 | | | M3 |
| |- | | |- |
| | 5 | | | 5 |
| | 499.036 | | | 499.036 |
| | <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> | | | <small><small><small>[[13/10]]</small></small></small>, '''<u>[[4/3]]'''</u>, <small><small>[[15/11]]</small></small> |
| | P4 | | | P4 |
| |- | | |- |
| | 6 | | | 6 |
| | 598.843 | | | 598.843 |
| | <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> | | | <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> |
| | A4, d5 | | | A4, d5 |
| |- | | |- |
| | 7 | | | 7 |
| | 698.650 | | | 698.650 |
| | <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> | | | '''<u>[[3/2]]'''</u> |
| | P5 | | | P5 |
| |- | | |- |
| | 8 | | | 8 |
| | 798.457 | | | 798.457 |
| | <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> | | | <small><small>[[14/9]]</small></small>, '''[[11/7]]''', '''[[8/5]]''', <small><small><small>[[13/8]]</small></small></small> |
| | m6 | | | m6 |
| |- | | |- |
| | 9 | | | 9 |
| | 898.265 | | | 898.265 |
| | <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> | | | '''[[5/3]]''', <small><small>[[12/7]]</small></small> |
| | M6 | | | M6 |
| |- | | |- |
| | 10 | | | 10 |
| | 998.072 | | | 998.072 |
| | <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> | | | <small>[[7/4]]</small>, '''<u>[[16/9]]'''</u>, [[9/5]] |
| | m7 | | | m7 |
| |- | | |- |
| | 11 | | | 11 |
| | 1097.879 | | | 1097.879 |
| | <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> | | | <small><small><small>[[11/6]]</small></small></small>, <small>[[13/7]]</small>, '''[[15/8]]''' |
| | M7 | | | M7 |
| |- | | |- |
| Line 115: |
Line 115: |
| | 13 | | | 13 |
| | 1297.493 | | | 1297.493 |
| | <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> | | | [[15/7]], <small><small>[[13/6]]</small></small> |
| | m2 +1 oct | | | m2 +1 oct |
| |- | | |- |
| | 14 | | | 14 |
| | 1397.301 | | | 1397.301 |
| | <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> | | | <small>[[11/5]]</small>, '''<u>[[9/4]]'''</u>, <small><small>[[16/7]]</small></small> |
| | M2 +1 oct | | | M2 +1 oct |
| |- | | |- |
| | 15 | | | 15 |
| | 1497.108 | | | 1497.108 |
| | <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> | | | <small>[[7/3]]</small>, [[12/5]] |
| | m3 +1 oct | | | m3 +1 oct |
| |- | | |- |
| | 16 | | | 16 |
| | 1596.915 | | | 1596.915 |
| | <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> | | | '''[[5/2]]''' |
| | M3 +1 oct | | | M3 +1 oct |
| |- | | |- |
| | 17 | | | 17 |
| | 1696.722 | | | 1696.722 |
| | <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> | | | <small><small><small>[[13/5]]</small></small></small>, '''<u>[[8/3]]'''</u> |
| | P4 +1 oct | | | P4 +1 oct |
| |- | | |- |
| | 18 | | | 18 |
| | 1796.529 | | | 1796.529 |
| | <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> | | | <small><small><small>[[11/4]]</small></small></small>, '''[[14/5]]''' |
| | A4 +1 oct, d5 +1 oct | | | A4 +1 oct, d5 +1 oct |
| |- | | |- |
| | 19 | | | 19 |
| | 1896.336 | | | 1896.336 |
| | <small><small><small>[[32/11]]</small></small></small>, '''<u>[[3/1]]'''</u> | | | '''<u>[[3/1]]'''</u> |
| | P5 +1 oct | | | P5 +1 oct |
| |- | | |- |
| | 20 | | | 20 |
| | 1996.144 | | | 1996.144 |
| | <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> | | | [[16/5]], <small><small><small>[[13/4]]</small></small></small> |
| | m6 +1 oct | | | m6 +1 oct |
| |- | | |- |
| | 21 | | | 21 |
| | 2095.951 | | | 2095.951 |
| | <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> | | | '''[[10/3]]''' |
| | M6 +1 oct | | | M6 +1 oct |
| |- | | |- |
| | 22 | | | 22 |
| | 2195.758 | | | 2195.758 |
| | <small>[[7/2]]</small>, '''<u>[[32/9]]'''</u>, '''<u>[[25/7]]'''</u>, [[18/5]], <small><small>[[29/8]]</small></small> | | | <small>[[7/2]]</small> |
| | m7 +1 oct | | | m7 +1 oct |
| |- | | |- |
| | 23 | | | 23 |
| | 2295.565 | | | 2295.565 |
| | <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> | | | <small><small><small>[[11/3]]</small></small></small>, '''<u>[[15/4]]'''</u> |
| | M7 +1 oct | | | M7 +1 oct |
| |- | | |- |
| Line 175: |
Line 175: |
| | 25 | | | 25 |
| | 2495.180 | | | 2495.180 |
| | <small><small>[[29/7]]</small></small>, [[25/6]], '''[[21/5]]''', '''[[17/4]]''', [[30/7]], <small><small><small>[[13/3]]</small></small></small> | | | <small><small><small>[[13/3]]</small></small></small> |
| | m2 +2 oct | | | m2 +2 oct |
| |- | | |- |
| | 26 | | | 26 |
| | 2594.987 | | | 2594.987 |
| | <small>[[22/5]]</small>, [[31/7]], '''[[9/2]]''', <small><small>[[32/7]]</small></small>, <small><small><small>[[23/5]]</small></small></small> | | | '''[[9/2]]''' |
| | M2 +2 oct | | | M2 +2 oct |
| |- | | |- |
| | 27 | | | 27 |
| | 2694.794 | | | 2694.794 |
| | <small>[[14/3]]</small>, '''<u>[[19/4]]'''</u>, [[24/5]], <small>[[29/6]]</small> | | | <small>[[14/3]]</small> |
| | m3 +2 oct | | | m3 +2 oct |
| |- | | |- |
| | 28 | | | 28 |
| | 2794.601 | | | 2794.601 |
| | '''<u>[[5/1]]'''</u>, <small><small><small>[[31/6]]</small></small></small> | | | '''<u>[[5/1]]'''</u> |
| | M3 +2 oct | | | M3 +2 oct |
| |- | | |- |
| | 29 | | | 29 |
| | 2894.408 | | | 2894.408 |
| | <small><small>[[26/5]]</small></small>, [[21/4]], '''<u>[[16/3]]'''</u>, <small>[[27/5]]</small> | | | '''<u>[[16/3]]'''</u> |
| | P4 +2 oct | | | P4 +2 oct |
| |- | | |- |
| | 30 | | | 30 |
| | 2994.215 | | | 2994.215 |
| | <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> | | | <small><small><small>[[11/2]]</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>[[31/5]]</small></small>, [[25/4]], '''<u>[[19/3]]'''</u>, [[32/5]], <small><small><small>[[13/2]]</small></small></small> | | | <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]], <small><small>[[29/4]]</small></small> | | | [[7/1]] |
| | m7 +2 oct | | | m7 +2 oct |
| |- | | |- |
| | 35 | | | 35 |
| | 3493.251 | | | 3493.251 |
| | <small><small><small>[[22/3]]</small></small></small>, '''<u>[[15/2]]'''</u>, <small>[[23/3]]</small> | | | '''<u>[[15/2]]'''</u> |
| | M7 +2 oct | | | M7 +2 oct |
| |- | | |- |
| | 36 | | | 36 |
| | 3593.059 | | | 3593.059 |
| | <small><small><small>[[31/4]]</small></small></small>, '''<u>[[8/1]]'''</u> | | | '''<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>[[23/2]]</small></small> | | | <small><small>[[11/1]]</small></small> |
| | A4 +3 oct, d5 +3 oct | | | A4 +3 oct, d5 +3 oct |
| |- | | |- |
| Line 270: |
Line 270: |
| | 44 | | | 44 |
| | 4391.516 | | | 4391.516 |
| | [[25/2]], <small><small><small>[[13/1]]</small></small></small> | | | <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]], <small><small>[[29/2]]</small></small> | | | [[14/1]] |
| | m7 +3 oct | | | m7 +3 oct |
| |- | | |- |
| Line 290: |
Line 290: |
| | 48 | | | 48 |
| | 4790.745 | | | 4790.745 |
| | <small><small><small>[[31/2]]</small></small></small>, '''[[16/1]]''' | | | '''[[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
| |
| |} | | |} |
|
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