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== Context == | |||
Read this first: [[Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions]] | |||
== The Alpha-Beta-Gamma family == | |||
{ | {| class="wikitable" | ||
|+ | |||
|- | |||
! colspan="3" | Tuning !! colspan="2" | Intervals !! colspan="2" | Mappings | |||
|- | |||
! Name | |||
! Equal division | |||
! Steps per octave | |||
! Equave | |||
! SSC pair | |||
! Steps (Equave, SSC pair) | |||
! Errors (cent) | |||
|- | |||
| [[Alpha 3/1]] | |||
| [[3edt|3ed3/1]] | |||
| 1.89278926071437 | |||
| rowspan="3" | 3/1 | |||
| rowspan="3" | 2/1, 3/2 | |||
| 3\3<3/1>, 2\3<3/1>, 1\3<3/1> | |||
| 0, 67.970, -67.970 | |||
|- | |||
| [[Beta 3/1]] | |||
| [[5edt|5ed3/1]] | |||
| 3.15464876785729 | |||
| 5\5<3/1>, 3\5<3/1>, 2\5<3/1> | |||
| 0, -58.827, 58.827 | |||
|- | |||
| [[Gamma 3/1]] | |||
| [[8edt|8ed3/1]] | |||
| 5.04743802857166 | |||
| 8\8<3/1>, 5\8<3/1>, 3\8<3/1> | |||
| 0, -11.278, 11.278 | |||
|- | |||
| [[Alpha 2/1]] | |||
| [[5edo|5ed2/1]] | |||
| 5 | |||
| rowspan="3" | 2/1 | |||
| rowspan="3" | 3/2, 4/3 | |||
| 5\5<2/1>, 3\5<2/1>, 2\5<2/1> | |||
| 0, 18.045, -18.045 | |||
|- | |||
| [[Beta 2/1]] | |||
| [[7edo|7ed2/1]] | |||
| 7 | |||
| 7\7<2/1>, 4\7<2/1>, 3\7<2/1> | |||
| 0, -16.241, 16.241 | |||
|- | |||
| [[Gamma 2/1]] | |||
| [[12edo|12ed2/1]] | |||
| 12 | |||
| 12\12<2/1>, 7\12<2/1>, 5\12<2/1> | |||
| 0, -1.955, 1.955 | |||
|- | |||
| [[Alpha 5/3]] | |||
| [[7ed5/3]] | |||
| 9.49840814199707 | |||
| rowspan="3" | 5/3 | |||
| rowspan="3" | 4/3, 5/4 | |||
| 7\7<5/3>, 4\7<5/3>, 3\7<5/3> | |||
| 0, 7.303, -7.303 | |||
|- | |||
| [[Beta 5/3]] | |||
| [[9ed5/3]] | |||
| 12.2122390397105 | |||
| 9\9<5/3>, 5\9<5/3>, 4\9<5/3> | |||
| 0, -6.735, 6.735 | |||
|- | |||
| [[Gamma 5/3]] | |||
| [[16ed5/3]] | |||
| 21.7106471817076 | |||
| 16\16<5/3>, 9\16<5/3>, 7\16<5/3> | |||
| 0, -0.593, 0.593 | |||
|- | |||
| [[Carlos Alpha|Alpha 3/2]] | |||
| [[9edf|9ed3/2]] | |||
| 15.3856016221631 | |||
| rowspan="3" | 3/2 | |||
| rowspan="3" | 5/4, 6/5 | |||
| 9\9<3/2>, 5\9<3/2>, 4\9<3/2> | |||
| 0, 3.661, -3.661 | |||
|- | |||
| [[Carlos Beta|Beta 3/2]] | |||
| [[11edf|11ed3/2]] | |||
| 18.8046242048660 | |||
| 11\11<3/2>, 6\11<3/2>, 5\11<3/2> | |||
| 0, -3.429, 3.429 | |||
|- | |||
| [[Carlos Gamma|Gamma 3/2]] | |||
| [[20edf|20ed3/2]] | |||
| 34.1902258270291 | |||
| 20\20<3/2>, 11\20<3/2>, 9\20<3/2> | |||
| 0, -0.238, 0.238 | |||
|- | |||
| [[Alpha 7/5]] | |||
| [[11ed7/5]] | |||
| 22.6604698881676 | |||
| rowspan="3" | 7/5 | |||
| rowspan="3" | 6/5, 7/6 | |||
| 11\11<7/5>, 6\11<7/5>, 5\11<7/5> | |||
| 0, 2.093, -2.093 | |||
|- | |||
| [[Beta 7/5]] | |||
| [[13ed7/5]] | |||
| 26.7805553223799 | |||
| 13\13<7/5>, 7\13<7/5>, 6\13<7/5> | |||
| 0, -1.981, 1.981 | |||
|- | |||
| [[Gamma 7/5]] | |||
| [[24ed7/5]] | |||
| 49.4410252105475 | |||
| 24\24<7/5>, 13\24<7/5>, 11\24<7/5> | |||
| 0, -0.114, 0.114 | |||
|- | |||
| [[Alpha 4/3]] | |||
| [[13ed4/3]] | |||
| 31.3224709154917 | |||
| rowspan="3" | 4/3 | |||
| rowspan="3" | 7/6, 8/7 | |||
| 13\13<4/3>, 7\13<4/3>, 6\13<4/3> | |||
| 0, 1.307, -1.307 | |||
|- | |||
| [[Beta 4/3]] | |||
| [[15ed4/3]] | |||
| 36.1413125947981 | |||
| 15\15<4/3>, 8\15<4/3>, 7\15<4/3> | |||
| 0, -1.247, 1.247 | |||
|- | |||
| [[Gamma 4/3]] | |||
| [[28ed4/3]] | |||
| 67.4637835102899 | |||
| 28\28<4/3>, 15\28<4/3>, 13\28<4/3> | |||
| 0, -0.061, 0.061 | |||
|- | |||
| [[Alpha 9/7]] | |||
| [[15ed9/7]] | |||
| 41.3713123417559 | |||
| rowspan="3" | 9/7 | |||
| rowspan="3" | 8/7, 9/8 | |||
| 15\15<9/7>, 8\15<9/7>, 7\15<9/7> | |||
| 0, 0.871, -0.871 | |||
|- | |||
| [[Beta 9/7]] | |||
| [[17ed9/7]] | |||
| 46.8874873206567 | |||
| 17\17<9/7>, 9\17<9/7>, 8\17<9/7> | |||
| 0, -0.835, 0.835 | |||
|- | |||
| [[Gamma 9/7]] | |||
| [[32ed9/7]] | |||
| 88.2587996624126 | |||
| 32\32<9/7>, 17\32<9/7>, 15\32<9/7> | |||
| 0, -0.036, 0.036 | |||
|- | |||
| [[Alpha 5/4]] | |||
| [[17ed5/4]] | |||
| 52.8068232315916 | |||
| rowspan="3" | 5/4 | |||
| rowspan="3" | 9/8, 10/9 | |||
| 17\17<5/4>, 9\17<5/4>, 8\17<5/4> | |||
| 0, 0.609, -0.609 | |||
|- | |||
| [[Beta 5/4]] | |||
| [[19ed5/4]] | |||
| 59.0193906706024 | |||
| 19\19<5/4>, 10\19<5/4>, 9\19<5/4> | |||
| 0, -0.587, 0.587 | |||
|- | |||
| [[Gamma 5/4]] | |||
| [[36ed5/4]] | |||
| 111.826213902194 | |||
| 36\36<5/4>, 19\36<5/4>, 17\36<5/4> | |||
| 0, -0.022, 0.022 | |||
|- | |||
| [[Alpha 11/9]] | |||
| [[19ed11/9]] | |||
| 65.6288971357202 | |||
| rowspan="3" | 11/9 | |||
| rowspan="3" | 10/9, 11/10 | |||
| 19\19<11/9>, 10\19<11/9>, 9\19<11/9> | |||
| 0, 0.443, -0.443 | |||
|- | |||
| [[Beta 11/9]] | |||
| [[21ed11/9]] | |||
| 72.5372020973750 | |||
| 21\21<11/9>, 11\21<11/9>, 10\21<11/9> | |||
| 0, -0.428, 0.428 | |||
|- | |||
| [[Gamma 11/9]] | |||
| [[40ed11/9]] | |||
| 138.166099233095 | |||
| 40\40<11/9>, 21\40<11/9>, 19\40<11/9> | |||
| 0, -0.015, 0.015 | |||
|- | |||
| [[Alpha 6/5]] | |||
| [[21ed6/5]] | |||
| 79.8374643554025 | |||
| rowspan="3" | 6/5 | |||
| rowspan="3" | 11/10, 12/11 | |||
| 21\21<6/5>, 11\21<6/5>, 10\21<6/5> | |||
| 0, 0.332, -0.332 | |||
|- | |||
| [[Beta 6/5]] | |||
| [[23ed6/5]] | |||
| 87.4410323892504 | |||
| 23\23<6/5>, 12\23<6/5>, 11\23<6/5> | |||
| 0, -0.322, 0.322 | |||
|- | |||
| [[Gamma 6/5]] | |||
| [[44ed6/5]] | |||
| 167.278496744653 | |||
| 44\44<6/5>, 23\44<6/5>, 21\44<6/5> | |||
| 0, -0.010, 0.010 | |||
|- | |||
| [[Alpha 13/11]] | |||
| [[23ed13/11]] | |||
| 95.4324773621886 | |||
| rowspan="3" | 13/11 | |||
| rowspan="3" | 12/11, 13/12 | |||
| 23\23<13/11>, 12\23<13/11>, 11\23<13/11> | |||
| 0, 0.255, -0.255 | |||
|- | |||
| [[Beta 13/11]] | |||
| [[25ed13/11]] | |||
| 103.730953654553 | |||
| 25\25<13/11>, 13\25<13/11>, 12\25<13/11> | |||
| 0, -0.248, 0.248 | |||
|- | |||
| [[Gamma 13/11]] | |||
| [[48ed13/11]] | |||
| 199.163431016741 | |||
| 48\48<13/11>, 25\48<13/11>, 23\48<13/11> | |||
| 0, -0.007, 0.007 | |||
|- | |||
| [[Alpha 7/6]] | |||
| [[25ed7/6]] | |||
| 112.413902640048 | |||
| rowspan="3" | 7/6 | |||
| rowspan="3" | 13/12, 14/13 | |||
| 25\25<7/6>, 13\25<7/6>, 12\25<7/6> | |||
| 0, 0.200, -0.200 | |||
|- | |||
| [[Beta 7/6]] | |||
| [[27ed7/6]] | |||
| 121.407014851252 | |||
| 27\27<7/6>, 14\27<7/6>, 13\27<7/6> | |||
| 0, -0.195, 0.195 | |||
|- | |||
| [[Gamma 7/6]] | |||
| [[52ed7/6]] | |||
| 233.820917491300 | |||
| 52\52<7/6>, 27\52<7/6>, 25\52<7/6> | |||
| 0, -0.005, 0.005 | |||
|- | |||
| [[Alpha 15/13]] | |||
| [[27ed15/13]] | |||
| 130.781715879411 | |||
| rowspan="3" | 15/13 | |||
| rowspan="3" | 14/13, 15/14 | |||
| 27\27<15/13>, 14\27<15/13>, 13\27<15/13> | |||
| 0, 0.160, -0.160 | |||
|- | |||
| [[Beta 15/13]] | |||
| [[29ed15/13]] | |||
| 140.469250388997 | |||
| 29\29<15/13>, 15\29<15/13>, 14\29<15/13> | |||
| 0, -0.156, 0.156 | |||
|- | |||
| [[Gamma 15/13]] | |||
| [[56ed15/13]] | |||
| 271.250966268408 | |||
| 56\56<15/13>, 29\56<15/13>, 27\56<15/13> | |||
| 0, -0.004, 0.004 | |||
|- | |||
| [[Alpha 8/7]] | |||
| [[29ed8/7]] | |||
| 150.535899020849 | |||
| rowspan="3" | 8/7 | |||
| rowspan="3" | 15/14, 16/15 | |||
| 29\29<8/7>, 15\29<8/7>, 14\29<8/7> | |||
| 0, 0.130, -0.130 | |||
|- | |||
| [[Beta 8/7]] | |||
| [[31ed8/7]] | |||
| 160.917685160217 | |||
| 31\31<8/7>, 16\31<8/7>, 15\31<8/7> | |||
| 0, -0.127, 0.127 | |||
|- | |||
| [[Gamma 8/7]] | |||
| [[60ed8/7]] | |||
| 311.453584181066 | |||
| 60\60<8/7>, 31\60<8/7>, 29\60<8/7> | |||
| 0, -0.003, 0.003 | |||
|} | |||
== The converging Alpha-Beta-Gamma sequence == | |||
As a fact, for each <math>n\ge 2</math>, equal divisions of <math>R_n=\dfrac{n+1}{n-1}</math> where low errors appear for <math>S_n=\dfrac{n+1}{n}</math> and <math>B_n=\dfrac{n}{n-1}</math> forms a converging sequence and pattern, with the happy equal divisions of <math>R_n</math> being: | |||
* '''Alpha:''' <math>k_\alpha=2n-1</math> | |||
* '''Beta:''' <math>k_\beta=2n+1</math> | |||
* '''Gamma:''' <math>k_\gamma=4n=k_\alpha+k_\beta</math> | |||
In this sequence, the errors are lower and lower. | |||
{{todo| | {{todo|Why this pattern|inline=1|comment=Explain why divisions of ratios where low errors appear for successive superparticular complementary pair make this pattern appears.}} | ||
{| class="wikitable sortable right-1 left-2 right-3 left-4 right-5 left-6 right-7 left-8 right-9 left-10 right-11 left-12 right-13 left-14 right-15 left-16 right-17 left-18 right-19 left-20" | {| class="wikitable sortable right-1 left-2 right-3 left-4 right-5 left-6 right-7 left-8 right-9 left-10 right-11 left-12 right-13 left-14 right-15 left-16 right-17 left-18 right-19 left-20" | ||
|+ style="font-size: 105%;" | Error (abs, [[Cent|¢]]) on successive superparticular complementary pair in equal divisions | |+ style="font-size: 105%;" | Error (abs, [[Cent|¢]]) on successive superparticular complementary pair in equal divisions | ||
|- | |- | ||
! #ed3/1 !! 2/1, 3/2 error !! #ed2/1 !! 3/2, 4/3 error !! #ed5/3 !! 4/3, 5/4 error !! #ed3/2 !! 5/4, 6/5 error !! #ed7/5 !! 6/5, 7/6 error !! #ed4/3 !! 7/6, 8/7 error !! #ed9/7 !! 8/7, 9/8 error !! #ed5/4 !! 9/8, 10/9 error !! #ed11/9 !! 10/9, 11/10 error !! #ed6/5 !! 11/10, 12/11 error | ! #[[EDT|ed3/1]] !! [[2/1]], [[3/2]] error !! #[[EDO|ed2/1]] !! [[3/2]], [[4/3]] error !! #[[ed5/3]] !! [[4/3]], [[5/4]] error !! #[[EDF|ed3/2]] !! [[5/4]], [[6/5]] error !! #[[ed7/5]] !! [[6/5]], [[7/6]] error !! #[[ed4/3]] !! [[7/6]], [[8/7]] error !! #[[ed9/7]] !! [[8/7]], [[9/8]] error !! #[[ed5/4]] !! [[9/8]], [[10/9]] error !! #[[ed11/9]] !! [[10/9]], [[11/10]] error !! #[[ed6/5]] !! [[11/10]], [[12/11]] error | ||
|- | |- | ||
| [[1ed3/1]] || 701.96 || [[1edo|1ed2/1]] || 498.04 || [[1ed5/3]] || 386.31 || [[1edf|1ed3/2]] || 315.64 || [[1ed7/5]] || 266.87 || [[1ed4/3]] || 231.17 || [[1ed9/7]] || 203.91 || [[1ed5/4]] || 182.40 || [[1ed11/9]] || 165.00 || [[1ed6/5]] || 150.64 | | [[1edt|1ed3/1]] || 701.96 || [[1edo|1ed2/1]] || 498.04 || [[1ed5/3]] || 386.31 || [[1edf|1ed3/2]] || 315.64 || [[1ed7/5]] || 266.87 || [[1ed4/3]] || 231.17 || [[1ed9/7]] || 203.91 || [[1ed5/4]] || 182.40 || [[1ed11/9]] || 165.00 || [[1ed6/5]] || 150.64 | ||
|- | |- | ||
| [[2ed3/1]] || 249.02 || [[2edo|2ed2/1]] || 101.96 || [[2ed5/3]] || 55.87 || [[2edf|2ed3/2]] || 35.34 || [[2ed7/5]] || 24.39 || [[2ed4/3]] || 17.85 || [[2ed9/7]] || 13.63 || [[2ed5/4]] || 10.75 || [[2ed11/9]] || 8.70 || [[2ed6/5]] || 7.18 | | [[2edt|2ed3/1]] || 249.02 || [[2edo|2ed2/1]] || 101.96 || [[2ed5/3]] || 55.87 || [[2edf|2ed3/2]] || 35.34 || [[2ed7/5]] || 24.39 || [[2ed4/3]] || 17.85 || [[2ed9/7]] || 13.63 || [[2ed5/4]] || 10.75 || [[2ed11/9]] || 8.70 || [[2ed6/5]] || 7.18 | ||
|- | |- | ||
| '''[[3ed3/1]]''' ||'''67.97''' ||[[3edo|3ed2/1]] || 98.04 || [[3ed5/3]] || 91.53 || [[3edf|3ed3/2]] || 81.66 || [[3ed7/5]] || 72.70 || [[3ed4/3]] || 65.16 || [[3ed9/7]] || 58.88 || [[3ed5/4]] || 53.63 || [[3ed11/9]] || 49.20 || [[3ed6/5]] || 45.42 | | '''<u>[[3edt|3ed3/1]]</u>''' ||'''<u>67.97</u>''' ||[[3edo|3ed2/1]] || 98.04 || [[3ed5/3]] || 91.53 || [[3edf|3ed3/2]] || 81.66 || [[3ed7/5]] || 72.70 || [[3ed4/3]] || 65.16 || [[3ed9/7]] || 58.88 || [[3ed5/4]] || 53.63 || [[3ed11/9]] || 49.20 || [[3ed6/5]] || 45.42 | ||
|- | |- | ||
| [[4ed3/1]] || 226.47 || [[4edo|4ed2/1]] || 101.96 || [[4ed5/3]] || 55.87 || [[4edf|4ed3/2]] || 35.34 || [[4ed7/5]] || 24.39 || [[4ed4/3]] || 17.85 || [[4ed9/7]] || 13.63 || [[4ed5/4]] || 10.75 || [[4ed11/9]] || 8.70 || [[4ed6/5]] || 7.18 | | [[4edt|4ed3/1]] || 226.47 || [[4edo|4ed2/1]] || 101.96 || [[4ed5/3]] || 55.87 || [[4edf|4ed3/2]] || 35.34 || [[4ed7/5]] || 24.39 || [[4ed4/3]] || 17.85 || [[4ed9/7]] || 13.63 || [[4ed5/4]] || 10.75 || [[4ed11/9]] || 8.70 || [[4ed6/5]] || 7.18 | ||
|- | |- | ||
| '''[[5ed3/1]]''' ||'''58.83''' ||'''[[5edo|5ed2/1]]''' ||'''18.04''' ||[[5ed5/3]] || 32.57 || [[5edf|5ed3/2]] || 34.86 || [[5ed7/5]] || 33.87 || [[5ed4/3]] || 31.96 || [[5ed9/7]] || 29.88 || [[5ed5/4]] || 27.88 || [[5ed11/9]] || 26.04 || [[5ed6/5]] || 24.38 | | '''<u>[[5edt|5ed3/1]]</u>''' ||'''<u>58.83</u>''' ||'''<u>[[5edo|5ed2/1]]</u>''' ||'''<u>18.04</u>''' ||[[5ed5/3]] || 32.57 || [[5edf|5ed3/2]] || 34.86 || [[5ed7/5]] || 33.87 || [[5ed4/3]] || 31.96 || [[5ed9/7]] || 29.88 || [[5ed5/4]] || 27.88 || [[5ed11/9]] || 26.04 || [[5ed6/5]] || 24.38 | ||
|- | |- | ||
| [[6ed3/1]] || 67.97 || [[6edo|6ed2/1]] || 98.04 || [[6ed5/3]] || 55.87 || [[6edf|6ed3/2]] || 35.34 || [[6ed7/5]] || 24.39 || [[6ed4/3]] || 17.85 || [[6ed9/7]] || 13.63 || [[6ed5/4]] || 10.75 || [[6ed11/9]] || 8.70 || [[6ed6/5]] || 7.18 | | [[6edt|6ed3/1]] || 67.97 || [[6edo|6ed2/1]] || 98.04 || [[6ed5/3]] || 55.87 || [[6edf|6ed3/2]] || 35.34 || [[6ed7/5]] || 24.39 || [[6ed4/3]] || 17.85 || [[6ed9/7]] || 13.63 || [[6ed5/4]] || 10.75 || [[6ed11/9]] || 8.70 || [[6ed6/5]] || 7.18 | ||
|- | |- | ||
| [[7ed3/1]] || 113.17 || '''[[7edo|7ed2/1]]''' ||'''16.24''' ||'''[[7ed5/3]]''' ||'''7.30''' ||[[7edf|7ed3/2]] || 14.80 || [[7ed7/5]] || 17.22 || [[7ed4/3]] || 17.73 || [[7ed9/7]] || 17.45 || [[7ed5/4]] || 16.84 || [[7ed11/9]] || 16.12 || [[7ed6/5]] || 15.36 | | [[7edt|7ed3/1]] || 113.17 || '''<u>[[7edo|7ed2/1]]</u>''' ||'''<u>16.24</u>''' ||'''<u>[[7ed5/3]]</u>''' ||'''<u>7.30</u>''' ||[[7edf|7ed3/2]] || 14.80 || [[7ed7/5]] || 17.22 || [[7ed4/3]] || 17.73 || [[7ed9/7]] || 17.45 || [[7ed5/4]] || 16.84 || [[7ed11/9]] || 16.12 || [[7ed6/5]] || 15.36 | ||
|- | |- | ||
| '''[[8ed3/1]]''' ||'''11.28''' ||[[8edo|8ed2/1]] || 48.04 || [[8ed5/3]] || 54.68 || [[8edf|8ed3/2]] || 35.34 || [[8ed7/5]] || 24.39 || [[8ed4/3]] || 17.85 || [[8ed9/7]] || 13.63 || [[8ed5/4]] || 10.75 || [[8ed11/9]] || 8.70 || [[8ed6/5]] || 7.18 | | '''<u>[[8edt|8ed3/1]]</u>''' ||'''<u>11.28</u>''' ||[[8edo|8ed2/1]] || 48.04 || [[8ed5/3]] || 54.68 || [[8edf|8ed3/2]] || 35.34 || [[8ed7/5]] || 24.39 || [[8ed4/3]] || 17.85 || [[8ed9/7]] || 13.63 || [[8ed5/4]] || 10.75 || [[8ed11/9]] || 8.70 || [[8ed6/5]] || 7.18 | ||
|- | |- | ||
| [[9ed3/1]] || 67.97 || [[9edo|9ed2/1]] || 35.29 || '''[[9ed5/3]]''' ||'''6.73''' ||'''[[9edf|9ed3/2]]''' ||'''3.66''' ||[[9ed7/5]] || 7.98 || [[9ed4/3]] || 9.82 || [[9ed9/7]] || 10.54 || [[9ed5/4]] || 10.71 || [[9ed11/9]] || 10.60 || [[9ed6/5]] || 10.35 | | [[9edt|9ed3/1]] || 67.97 || [[9edo|9ed2/1]] || 35.29 || '''<u>[[9ed5/3]]</u>''' ||'''<u>6.73</u>''' ||'''<u>[[9edf|9ed3/2]]</u>''' ||'''<u>3.66</u>''' ||[[9ed7/5]] || 7.98 || [[9ed4/3]] || 9.82 || [[9ed9/7]] || 10.54 || [[9ed5/4]] || 10.71 || [[9ed11/9]] || 10.60 || [[9ed6/5]] || 10.35 | ||
|- | |- | ||
| [[10ed3/1]] || 58.83 || [[10edo|10ed2/1]] || 18.04 || [[10ed5/3]] || 32.57 || [[10edf|10ed3/2]] || 34.86 || [[10ed7/5]] || 24.39 || [[10ed4/3]] || 17.85 || [[10ed9/7]] || 13.63 || [[10ed5/4]] || 10.75 || [[10ed11/9]] || 8.70 || [[10ed6/5]] || 7.18 | | [[10edt|10ed3/1]] || 58.83 || [[10edo|10ed2/1]] || 18.04 || [[10ed5/3]] || 32.57 || [[10edf|10ed3/2]] || 34.86 || [[10ed7/5]] || 24.39 || [[10ed4/3]] || 17.85 || [[10ed9/7]] || 13.63 || [[10ed5/4]] || 10.75 || [[10ed11/9]] || 8.70 || [[10ed6/5]] || 7.18 | ||
|- | |- | ||
| [[11ed3/1]] || 10.34 || [[11edo|11ed2/1]] || 47.41 || [[11ed5/3]] || 15.67 || '''[[11edf|11ed3/2]]''' ||'''3.43''' ||'''[[11ed7/5]]''' ||'''2.09''' ||[[11ed4/3]] || 4.79 || [[11ed9/7]] || 6.14 || [[11ed5/4]] || 6.81 || [[11ed11/9]] || 7.09 || [[11ed6/5]] || 7.16 | | [[11edt|11ed3/1]] || 10.34 || [[11edo|11ed2/1]] || 47.41 || [[11ed5/3]] || 15.67 || '''<u>[[11edf|11ed3/2]]</u>''' ||'''<u>3.43</u>''' ||'''<u>[[11ed7/5]]</u>''' ||'''<u>2.09</u>''' ||[[11ed4/3]] || 4.79 || [[11ed9/7]] || 6.14 || [[11ed5/4]] || 6.81 || [[11ed11/9]] || 7.09 || [[11ed6/5]] || 7.16 | ||
|- | |- | ||
| [[12ed3/1]] || 67.97 || '''[[12edo|12ed2/1]]''' ||'''1.96''' ||[[12ed5/3]] || 17.83 || [[12edf|12ed3/2]] || 23.16 || [[12ed7/5]] || 24.16 || [[12ed4/3]] || 17.85 || [[12ed9/7]] || 13.63 || [[12ed5/4]] || 10.75 || [[12ed11/9]] || 8.70 || [[12ed6/5]] || 7.18 | | [[12edt|12ed3/1]] || 67.97 || '''<u>[[12edo|12ed2/1]]</u>''' ||'''<u>1.96</u>''' ||[[12ed5/3]] || 17.83 || [[12edf|12ed3/2]] || 23.16 || [[12ed7/5]] || 24.16 || [[12ed4/3]] || 17.85 || [[12ed9/7]] || 13.63 || [[12ed5/4]] || 10.75 || [[12ed11/9]] || 8.70 || [[12ed6/5]] || 7.18 | ||
|- | |- | ||
| [[13ed3/1]] || 29.57 || [[13edo|13ed2/1]] || 36.51 || [[13ed5/3]] || 21.85 || [[13edf|13ed3/2]] || 8.34 || '''[[13ed7/5]]''' ||'''1.98''' ||'''[[13ed4/3]]''' ||'''1.31''' ||[[13ed9/7]] || 3.10 || [[13ed5/4]] || 4.11 || [[13ed11/9]] || 4.66 || [[13ed6/5]] || 4.96 | | [[13edt|13ed3/1]] || 29.57 || [[13edo|13ed2/1]] || 36.51 || [[13ed5/3]] || 21.85 || [[13edf|13ed3/2]] || 8.34 || '''<u>[[13ed7/5]]</u>''' ||'''<u>1.98</u>''' ||'''<u>[[13ed4/3]]</u>''' ||'''<u>1.31</u>''' ||[[13ed9/7]] || 3.10 || [[13ed5/4]] || 4.11 || [[13ed11/9]] || 4.66 || [[13ed6/5]] || 4.96 | ||
|- | |- | ||
| [[14ed3/1]] || 22.69 || [[14edo|14ed2/1]] || 16.24 || [[14ed5/3]] || 7.30 || [[14edf|14ed3/2]] || 14.80 || [[14ed7/5]] || 17.22 || [[14ed4/3]] || 17.73 || [[14ed9/7]] || 13.63 || [[14ed5/4]] || 10.75 || [[14ed11/9]] || 8.70 || [[14ed6/5]] || 7.18 | | [[14edt|14ed3/1]] || 22.69 || [[14edo|14ed2/1]] || 16.24 || [[14ed5/3]] || 7.30 || [[14edf|14ed3/2]] || 14.80 || [[14ed7/5]] || 17.22 || [[14ed4/3]] || 17.73 || [[14ed9/7]] || 13.63 || [[14ed5/4]] || 10.75 || [[14ed11/9]] || 8.70 || [[14ed6/5]] || 7.18 | ||
|- | |- | ||
| [[15ed3/1]] || 58.83 || [[15edo|15ed2/1]] || 18.04 || [[15ed5/3]] || 26.39 || [[15edf|15ed3/2]] || 11.94 || [[15ed7/5]] || 4.97 || '''[[15ed4/3]]''' ||'''1.25''' ||'''[[15ed9/7]]''' ||'''0.87''' ||[[15ed5/4]] || 2.12 || [[15ed11/9]] || 2.88 || [[15ed6/5]] || 3.34 | | [[15edt|15ed3/1]] || 58.83 || [[15edo|15ed2/1]] || 18.04 || [[15ed5/3]] || 26.39 || [[15edf|15ed3/2]] || 11.94 || [[15ed7/5]] || 4.97 || '''<u>[[15ed4/3]]</u>''' ||'''<u>1.25</u>''' ||'''<u>[[15ed9/7]]</u>''' ||'''<u>0.87</u>''' ||[[15ed5/4]] || 2.12 || [[15ed11/9]] || 2.88 || [[15ed6/5]] || 3.34 | ||
|- | |- | ||
| [[16ed3/1]] || 11.28 || [[16edo|16ed2/1]] || 26.96 || '''[[16ed5/3]]''' ||'''0.59''' ||[[16edf|16ed3/2]] || 8.54 || [[16ed7/5]] || 12.02 || [[16ed4/3]] || 13.28 || [[16ed9/7]] || 13.56 || [[16ed5/4]] || 10.75 || [[16ed11/9]] || 8.70 || [[16ed6/5]] || 7.18 | | [[16edt|16ed3/1]] || 11.28 || [[16edo|16ed2/1]] || 26.96 || '''<u>[[16ed5/3]]</u>''' ||'''<u>0.59</u>''' ||[[16edf|16ed3/2]] || 8.54 || [[16ed7/5]] || 12.02 || [[16ed4/3]] || 13.28 || [[16ed9/7]] || 13.56 || [[16ed5/4]] || 10.75 || [[16ed11/9]] || 8.70 || [[16ed6/5]] || 7.18 | ||
|- | |- | ||
| [[17ed3/1]] || 30.68 || [[17edo|17ed2/1]] || 3.93 || [[17ed5/3]] || 22.17 || [[17edf|17ed3/2]] || 14.69 || [[17ed7/5]] || 7.25 || [[17ed4/3]] || 3.20 || '''[[17ed9/7]]''' ||'''0.84''' ||'''[[17ed5/4]]''' ||'''0.61''' ||[[17ed11/9]] || 1.52 || [[17ed6/5]] || 2.10 | | [[17edt|17ed3/1]] || 30.68 || [[17edo|17ed2/1]] || 3.93 || [[17ed5/3]] || 22.17 || [[17edf|17ed3/2]] || 14.69 || [[17ed7/5]] || 7.25 || [[17ed4/3]] || 3.20 || '''<u>[[17ed9/7]]</u>''' ||'''<u>0.84</u>''' ||'''<u>[[17ed5/4]]</u>''' ||'''<u>0.61</u>''' ||[[17ed11/9]] || 1.52 || [[17ed6/5]] || 2.10 | ||
|- | |- | ||
| [[18ed3/1]] || 37.69 || [[18edo|18ed2/1]] || 31.38 || [[18ed5/3]] || 6.73 || [[18edf|18ed3/2]] || 3.66 || [[18ed7/5]] || 7.98 || [[18ed4/3]] || 9.82 || [[18ed9/7]] || 10.54 || [[18ed5/4]] || 10.71 || [[18ed11/9]] || 8.70 || [[18ed6/5]] || 7.18 | | [[18edt|18ed3/1]] || 37.69 || [[18edo|18ed2/1]] || 31.38 || [[18ed5/3]] || 6.73 || [[18edf|18ed3/2]] || 3.66 || [[18ed7/5]] || 7.98 || [[18ed4/3]] || 9.82 || [[18ed9/7]] || 10.54 || [[18ed5/4]] || 10.71 || [[18ed11/9]] || 8.70 || [[18ed6/5]] || 7.18 | ||
|- | |- | ||
| [[19ed3/1]] || 1.23 || [[19edo|19ed2/1]] || 7.22 || [[19ed5/3]] || 13.95 || [[19edf|19ed3/2]] || 16.86 || [[19ed7/5]] || 9.06 || [[19ed4/3]] || 4.74 || [[19ed9/7]] || 2.18 || '''[[19ed5/4]]''' ||'''0.59''' ||'''[[19ed11/9]]''' ||'''0.44''' ||[[19ed6/5]] || 1.12 | | [[19edt|19ed3/1]] || 1.23 || [[19edo|19ed2/1]] || 7.22 || [[19ed5/3]] || 13.95 || [[19edf|19ed3/2]] || 16.86 || [[19ed7/5]] || 9.06 || [[19ed4/3]] || 4.74 || [[19ed9/7]] || 2.18 || '''<u>[[19ed5/4]]</u>''' ||'''<u>0.59</u>''' ||'''<u>[[19ed11/9]]</u>''' ||'''<u>0.44</u>''' ||[[19ed6/5]] || 1.12 | ||
|- | |- | ||
| [[20ed3/1]] || 36.27 || [[20edo|20ed2/1]] || 18.04 || [[20ed5/3]] || 11.65 || '''[[20edf|20ed3/2]]''' ||'''0.24''' ||[[20ed7/5]] || 4.74 || [[20ed4/3]] || 7.05 || [[20ed9/7]] || 8.12 || [[20ed5/4]] || 8.56 || [[20ed11/9]] || 8.67 || [[20ed6/5]] || 7.18 | | [[20edt|20ed3/1]] || 36.27 || [[20edo|20ed2/1]] || 18.04 || [[20ed5/3]] || 11.65 || '''<u>[[20edf|20ed3/2]]</u>''' ||'''<u>0.24</u>''' ||[[20ed7/5]] || 4.74 || [[20ed4/3]] || 7.05 || [[20ed9/7]] || 8.12 || [[20ed5/4]] || 8.56 || [[20ed11/9]] || 8.67 || [[20ed6/5]] || 7.18 | ||
|- | |- | ||
| [[21ed3/1]] || 22.60 || [[21edo|21ed2/1]] || 16.24 || [[21ed5/3]] || 7.30 || [[21edf|21ed3/2]] || 14.80 || [[21ed7/5]] || 10.52 || [[21ed4/3]] || 5.99 || [[21ed9/7]] || 3.27 || [[21ed5/4]] || 1.56 || '''[[21ed11/9]]''' ||'''0.43''' ||'''[[21ed6/5]]''' ||'''0.33''' | | [[21edt|21ed3/1]] || 22.60 || [[21edo|21ed2/1]] || 16.24 || [[21ed5/3]] || 7.30 || [[21edf|21ed3/2]] || 14.80 || [[21ed7/5]] || 10.52 || [[21ed4/3]] || 5.99 || [[21ed9/7]] || 3.27 || [[21ed5/4]] || 1.56 || '''<u>[[21ed11/9]]</u>''' ||'''<u>0.43</u>''' ||'''<u>[[21ed6/5]]</u>''' ||'''<u>0.33</u>''' | ||
|- | |- | ||
| [[22ed3/1]] || 10.34 || [[22edo|22ed2/1]] || 7.14 || [[22ed5/3]] || 15.67 || [[22edf|22ed3/2]] || 3.43 || [[22ed7/5]] || 2.09 || [[22ed4/3]] || 4.79 || [[22ed9/7]] || 6.14 || [[22ed5/4]] || 6.81 || [[22ed11/9]] || 7.09 || [[22ed6/5]] || 7.16 | | [[22edt|22ed3/1]] || 10.34 || [[22edo|22ed2/1]] || 7.14 || [[22ed5/3]] || 15.67 || [[22edf|22ed3/2]] || 3.43 || [[22ed7/5]] || 2.09 || [[22ed4/3]] || 4.79 || [[22ed9/7]] || 6.14 || [[22ed5/4]] || 6.81 || [[22ed11/9]] || 7.09 || [[22ed6/5]] || 7.16 | ||
|- | |- | ||
| [[23ed3/1]] || 40.41 || [[23edo|23ed2/1]] || 23.69 || [[23ed5/3]] || 1.81 || [[23edf|23ed3/2]] || 10.44 || [[23ed7/5]] || 11.72 || [[23ed4/3]] || 7.02 || [[23ed9/7]] || 4.17 || [[23ed5/4]] || 2.36 || [[23ed11/9]] || 1.15 || '''[[23ed6/5]]''' ||'''0.32''' | | [[23edt|23ed3/1]] || 40.41 || [[23edo|23ed2/1]] || 23.69 || [[23ed5/3]] || 1.81 || [[23edf|23ed3/2]] || 10.44 || [[23ed7/5]] || 11.72 || [[23ed4/3]] || 7.02 || [[23ed9/7]] || 4.17 || [[23ed5/4]] || 2.36 || [[23ed11/9]] || 1.15 || '''<u>[[23ed6/5]]</u>''' ||'''<u>0.32</u>''' | ||
|- | |- | ||
| [[24ed3/1]] || 11.28 || [[24edo|24ed2/1]] || 1.96 || [[24ed5/3]] || 17.83 || [[24edf|24ed3/2]] || 6.09 || '''[[24ed7/5]]''' ||'''0.11''' ||[[24ed4/3]] || 2.90 || [[24ed9/7]] || 4.50 || [[24ed5/4]] || 5.34 || [[24ed11/9]] || 5.78 || [[24ed6/5]] || 5.97 | | [[24edt|24ed3/1]] || 11.28 || [[24edo|24ed2/1]] || 1.96 || [[24ed5/3]] || 17.83 || [[24edf|24ed3/2]] || 6.09 || '''<u>[[24ed7/5]]</u>''' ||'''<u>0.11</u>''' ||[[24ed4/3]] || 2.90 || [[24ed9/7]] || 4.50 || [[24ed5/4]] || 5.34 || [[24ed11/9]] || 5.78 || [[24ed6/5]] || 5.97 | ||
|- | |- | ||
| [[25ed3/1]] || 17.25 || [[25edo|25ed2/1]] || 18.04 || [[25ed5/3]] || 2.80 || [[25edf|25ed3/2]] || 6.78 || [[25ed7/5]] || 10.57 || [[25ed4/3]] || 7.89 || [[25ed9/7]] || 4.93 || [[25ed5/4]] || 3.03 || [[25ed11/9]] || 1.75 || [[25ed6/5]] || 0.87 | | [[25edt|25ed3/1]] || 17.25 || [[25edo|25ed2/1]] || 18.04 || [[25ed5/3]] || 2.80 || [[25edf|25ed3/2]] || 6.78 || [[25ed7/5]] || 10.57 || [[25ed4/3]] || 7.89 || [[25ed9/7]] || 4.93 || [[25ed5/4]] || 3.03 || [[25ed11/9]] || 1.75 || [[25ed6/5]] || 0.87 | ||
|- | |- | ||
| [[26ed3/1]] || 29.57 || [[26edo|26ed2/1]] || 9.65 || [[26ed5/3]] || 12.16 || [[26edf|26ed3/2]] || 8.34 || [[26ed7/5]] || 1.98 || [[26ed4/3]] || 1.31 || [[26ed9/7]] || 3.10 || [[26ed5/4]] || 4.11 || [[26ed11/9]] || 4.66 || [[26ed6/5]] || 4.96 | | [[26edt|26ed3/1]] || 29.57 || [[26edo|26ed2/1]] || 9.65 || [[26ed5/3]] || 12.16 || [[26edf|26ed3/2]] || 8.34 || [[26ed7/5]] || 1.98 || [[26ed4/3]] || 1.31 || [[26ed9/7]] || 3.10 || [[26ed5/4]] || 4.11 || [[26ed11/9]] || 4.66 || [[26ed6/5]] || 4.96 | ||
|- | |- | ||
| [[27ed3/1]] || 2.47 || [[27edo|27ed2/1]] || 9.16 || [[27ed5/3]] || 6.73 || [[27edf|27ed3/2]] || 3.66 || [[27ed7/5]] || 7.98 || [[27ed4/3]] || 8.63 || [[27ed9/7]] || 5.57 || [[27ed5/4]] || 3.60 || [[27ed11/9]] || 2.27 || [[27ed6/5]] || 1.34 | | [[27edt|27ed3/1]] || 2.47 || [[27edo|27ed2/1]] || 9.16 || [[27ed5/3]] || 6.73 || [[27edf|27ed3/2]] || 3.66 || [[27ed7/5]] || 7.98 || [[27ed4/3]] || 8.63 || [[27ed9/7]] || 5.57 || [[27ed5/4]] || 3.60 || [[27ed11/9]] || 2.27 || [[27ed6/5]] || 1.34 | ||
|- | |- | ||
| [[28ed3/1]] || 22.69 || [[28edo|28ed2/1]] || 16.24 || [[28ed5/3]] || 7.30 || [[28edf|28ed3/2]] || 10.27 || [[28ed7/5]] || 3.58 || '''[[28ed4/3]]''' ||'''0.06''' ||[[28ed9/7]] || 1.91 || [[28ed5/4]] || 3.04 || [[28ed11/9]] || 3.71 || [[28ed6/5]] || 4.09 | | [[28edt|28ed3/1]] || 22.69 || [[28edo|28ed2/1]] || 16.24 || [[28ed5/3]] || 7.30 || [[28edf|28ed3/2]] || 10.27 || [[28ed7/5]] || 3.58 || '''<u>[[28ed4/3]]</u>''' ||'''<u>0.06</u>''' ||[[28ed9/7]] || 1.91 || [[28ed5/4]] || 3.04 || [[28ed11/9]] || 3.71 || [[28ed6/5]] || 4.09 | ||
|- | |- | ||
| [[29ed3/1]] || 19.48 || [[29edo|29ed2/1]] || 1.49 || [[29ed5/3]] || 10.12 || [[29edf|29ed3/2]] || 0.97 || [[29ed7/5]] || 5.74 || [[29ed4/3]] || 7.91 || [[29ed9/7]] || 6.13 || [[29ed5/4]] || 4.09 || [[29ed11/9]] || 2.71 || [[29ed6/5]] || 1.74 | | [[29edt|29ed3/1]] || 19.48 || [[29edo|29ed2/1]] || 1.49 || [[29ed5/3]] || 10.12 || [[29edf|29ed3/2]] || 0.97 || [[29ed7/5]] || 5.74 || [[29ed4/3]] || 7.91 || [[29ed9/7]] || 6.13 || [[29ed5/4]] || 4.09 || [[29ed11/9]] || 2.71 || [[29ed6/5]] || 1.74 | ||
|- | |- | ||
| [[30ed3/1]] || 4.57 || [[30edo|30ed2/1]] || 18.04 || [[30ed5/3]] || 3.09 || [[30edf|30ed3/2]] || 11.46 || [[30ed7/5]] || 4.97 || [[30ed4/3]] || 1.25 || [[30ed9/7]] || 0.87 || [[30ed5/4]] || 2.12 || [[30ed11/9]] || 2.88 || [[30ed6/5]] || 3.34 | | [[30edt|30ed3/1]] || 4.57 || [[30edo|30ed2/1]] || 18.04 || [[30ed5/3]] || 3.09 || [[30edf|30ed3/2]] || 11.46 || [[30ed7/5]] || 4.97 || [[30ed4/3]] || 1.25 || [[30ed9/7]] || 0.87 || [[30ed5/4]] || 2.12 || [[30ed11/9]] || 2.88 || [[30ed6/5]] || 3.34 | ||
|- | |- | ||
| [[31ed3/1]] || 27.07 || [[31edo|31ed2/1]] || 5.18 || [[31ed5/3]] || 13.07 || [[31edf|31ed3/2]] || 1.37 || [[31ed7/5]] || 3.80 || [[31ed4/3]] || 6.25 || [[31ed9/7]] || 6.61 || [[31ed5/4]] || 4.52 || [[31ed11/9]] || 3.10 || [[31ed6/5]] || 2.09 | | [[31edt|31ed3/1]] || 27.07 || [[31edo|31ed2/1]] || 5.18 || [[31ed5/3]] || 13.07 || [[31edf|31ed3/2]] || 1.37 || [[31ed7/5]] || 3.80 || [[31ed4/3]] || 6.25 || [[31ed9/7]] || 6.61 || [[31ed5/4]] || 4.52 || [[31ed11/9]] || 3.10 || [[31ed6/5]] || 2.09 | ||
|- | |- | ||
| [[32ed3/1]] || 11.28 || [[32edo|32ed2/1]] || 10.54 || [[32ed5/3]] || 0.59 || [[32edf|32ed3/2]] || 8.54 || [[32ed7/5]] || 6.18 || [[32ed4/3]] || 2.28 || '''[[32ed9/7]]''' ||'''0.04''' ||[[32ed5/4]] || 1.32 || [[32ed11/9]] || 2.16 || [[32ed6/5]] || 2.68 | | [[32edt|32ed3/1]] || 11.28 || [[32edo|32ed2/1]] || 10.54 || [[32ed5/3]] || 0.59 || [[32edf|32ed3/2]] || 8.54 || [[32ed7/5]] || 6.18 || [[32ed4/3]] || 2.28 || '''<u>[[32ed9/7]]</u>''' ||'''<u>0.04</u>''' ||[[32ed5/4]] || 1.32 || [[32ed11/9]] || 2.16 || [[32ed6/5]] || 2.68 | ||
|- | |- | ||
| [[33ed3/1]] || 10.34 || [[33edo|33ed2/1]] || 11.05 || [[33ed5/3]] || 11.13 || [[33edf|33ed3/2]] || 3.43 || [[33ed7/5]] || 2.09 || [[33ed4/3]] || 4.79 || [[33ed9/7]] || 6.14 || [[33ed5/4]] || 4.90 || [[33ed11/9]] || 3.44 || [[33ed6/5]] || 2.40 | | [[33edt|33ed3/1]] || 10.34 || [[33edo|33ed2/1]] || 11.05 || [[33ed5/3]] || 11.13 || [[33edf|33ed3/2]] || 3.43 || [[33ed7/5]] || 2.09 || [[33ed4/3]] || 4.79 || [[33ed9/7]] || 6.14 || [[33ed5/4]] || 4.90 || [[33ed11/9]] || 3.44 || [[33ed6/5]] || 2.40 | ||
|- | |- | ||
| [[34ed3/1]] || 25.26 || [[34edo|34ed2/1]] || 3.93 || [[34ed5/3]] || 3.84 || [[34edf|34ed3/2]] || 5.96 || [[34ed7/5]] || 7.25 || [[34ed4/3]] || 3.20 || [[34ed9/7]] || 0.84 || [[34ed5/4]] || 0.61 || [[34ed11/9]] || 1.52 || [[34ed6/5]] || 2.10 | | [[34edt|34ed3/1]] || 25.26 || [[34edo|34ed2/1]] || 3.93 || [[34ed5/3]] || 3.84 || [[34edf|34ed3/2]] || 5.96 || [[34ed7/5]] || 7.25 || [[34ed4/3]] || 3.20 || [[34ed9/7]] || 0.84 || [[34ed5/4]] || 0.61 || [[34ed11/9]] || 1.52 || [[34ed6/5]] || 2.10 | ||
|- | |- | ||
| [[35ed3/1]] || 4.49 || [[35edo|35ed2/1]] || 16.24 || [[35ed5/3]] || 7.30 || [[35edf|35ed3/2]] || 5.25 || [[35ed7/5]] || 0.58 || [[35ed4/3]] || 3.50 || [[35ed9/7]] || 5.01 || [[35ed5/4]] || 5.23 || [[35ed11/9]] || 3.74 || [[35ed6/5]] || 2.67 | | [[35edt|35ed3/1]] || 4.49 || [[35edo|35ed2/1]] || 16.24 || [[35ed5/3]] || 7.30 || [[35edf|35ed3/2]] || 5.25 || [[35ed7/5]] || 0.58 || [[35ed4/3]] || 3.50 || [[35ed9/7]] || 5.01 || [[35ed5/4]] || 5.23 || [[35ed11/9]] || 3.74 || [[35ed6/5]] || 2.67 | ||
|- | |- | ||
| [[36ed3/1]] || 15.14 || [[36edo|36ed2/1]] || 1.96 || [[36ed5/3]] || 6.73 || [[36edf|36ed3/2]] || 3.66 || [[36ed7/5]] || 7.98 || [[36ed4/3]] || 4.01 || [[36ed9/7]] || 1.55 || '''[[36ed5/4]]''' ||'''0.02''' ||[[36ed11/9]] || 0.95 || [[36ed6/5]] || 1.58 | | [[36edt|36ed3/1]] || 15.14 || [[36edo|36ed2/1]] || 1.96 || [[36ed5/3]] || 6.73 || [[36edf|36ed3/2]] || 3.66 || [[36ed7/5]] || 7.98 || [[36ed4/3]] || 4.01 || [[36ed9/7]] || 1.55 || '''<u>[[36ed5/4]]</u>''' ||'''<u>0.02</u>''' ||[[36ed11/9]] || 0.95 || [[36ed6/5]] || 1.58 | ||
|- | |- | ||
| [[37ed3/1]] || 17.70 || [[37edo|37ed2/1]] || 11.56 || [[37ed5/3]] || 3.89 || [[37edf|37ed3/2]] || 6.88 || [[37ed7/5]] || 0.77 || [[37ed4/3]] || 2.34 || [[37ed9/7]] || 4.01 || [[37ed5/4]] || 4.91 || [[37ed11/9]] || 4.01 || [[37ed6/5]] || 2.92 | | [[37edt|37ed3/1]] || 17.70 || [[37edo|37ed2/1]] || 11.56 || [[37ed5/3]] || 3.89 || [[37edf|37ed3/2]] || 6.88 || [[37ed7/5]] || 0.77 || [[37ed4/3]] || 2.34 || [[37ed9/7]] || 4.01 || [[37ed5/4]] || 4.91 || [[37ed11/9]] || 4.01 || [[37ed6/5]] || 2.92 | ||
|- | |- | ||
| [[38ed3/1]] || 1.23 || [[38edo|38ed2/1]] || 7.22 || [[38ed5/3]] || 9.32 || [[38edf|38ed3/2]] || 1.61 || [[38ed7/5]] || 6.27 || [[38ed4/3]] || 4.74 || [[38ed9/7]] || 2.18 || [[38ed5/4]] || 0.59 || [[38ed11/9]] || 0.44 || [[38ed6/5]] || 1.12 | | [[38edt|38ed3/1]] || 1.23 || [[38edo|38ed2/1]] || 7.22 || [[38ed5/3]] || 9.32 || [[38edf|38ed3/2]] || 1.61 || [[38ed7/5]] || 6.27 || [[38ed4/3]] || 4.74 || [[38ed9/7]] || 2.18 || [[38ed5/4]] || 0.59 || [[38ed11/9]] || 0.44 || [[38ed6/5]] || 1.12 | ||
|- | |- | ||
| [[39ed3/1]] || 19.20 || [[39edo|39ed2/1]] || 5.74 || [[39ed5/3]] || 0.82 || [[39edf|39ed3/2]] || 8.34 || [[39ed7/5]] || 1.98 || [[39ed4/3]] || 1.31 || [[39ed9/7]] || 3.10 || [[39ed5/4]] || 4.11 || [[39ed11/9]] || 4.25 || [[39ed6/5]] || 3.14 | | [[39edt|39ed3/1]] || 19.20 || [[39edo|39ed2/1]] || 5.74 || [[39ed5/3]] || 0.82 || [[39edf|39ed3/2]] || 8.34 || [[39ed7/5]] || 1.98 || [[39ed4/3]] || 1.31 || [[39ed9/7]] || 3.10 || [[39ed5/4]] || 4.11 || [[39ed11/9]] || 4.25 || [[39ed6/5]] || 3.14 | ||
|- | |- | ||
| [[40ed3/1]] || 11.28 || [[40edo|40ed2/1]] || 11.96 || [[40ed5/3]] || 10.46 || [[40edf|40ed3/2]] || 0.24 || [[40ed7/5]] || 4.74 || [[40ed4/3]] || 5.40 || [[40ed9/7]] || 2.75 || [[40ed5/4]] || 1.10 || '''[[40ed11/9]]''' ||'''0.01''' ||[[40ed6/5]] || 0.71 | | [[40edt|40ed3/1]] || 11.28 || [[40edo|40ed2/1]] || 11.96 || [[40ed5/3]] || 10.46 || [[40edf|40ed3/2]] || 0.24 || [[40ed7/5]] || 4.74 || [[40ed4/3]] || 5.40 || [[40ed9/7]] || 2.75 || [[40ed5/4]] || 1.10 || '''<u>[[40ed11/9]]</u>''' ||'''<u>0.01</u>''' ||[[40ed6/5]] || 0.71 | ||
|- | |- | ||
| [[41ed3/1]] || 6.12 || [[41edo|41ed2/1]] || 0.48 || [[41ed5/3]] || 1.94 || [[41edf|41ed3/2]] || 7.47 || [[41ed7/5]] || 3.07 || [[41ed4/3]] || 0.37 || [[41ed9/7]] || 2.29 || [[41ed5/4]] || 3.38 || [[41ed11/9]] || 4.01 || [[41ed6/5]] || 3.33 | | [[41edt|41ed3/1]] || 6.12 || [[41edo|41ed2/1]] || 0.48 || [[41ed5/3]] || 1.94 || [[41edf|41ed3/2]] || 7.47 || [[41ed7/5]] || 3.07 || [[41ed4/3]] || 0.37 || [[41ed9/7]] || 2.29 || [[41ed5/4]] || 3.38 || [[41ed11/9]] || 4.01 || [[41ed6/5]] || 3.33 | ||
|- | |- | ||
| [[42ed3/1]] || 22.60 || [[42edo|42ed2/1]] || 12.33 || [[42ed5/3]] || 7.30 || [[42edf|42ed3/2]] || 1.91 || [[42ed7/5]] || 3.35 || [[42ed4/3]] || 5.87 || [[42ed9/7]] || 3.27 || [[42ed5/4]] || 1.56 || [[42ed11/9]] || 0.43 || [[42ed6/5]] || 0.33 | | [[42edt|42ed3/1]] || 22.60 || [[42edo|42ed2/1]] || 12.33 || [[42ed5/3]] || 7.30 || [[42edf|42ed3/2]] || 1.91 || [[42ed7/5]] || 3.35 || [[42ed4/3]] || 5.87 || [[42ed9/7]] || 3.27 || [[42ed5/4]] || 1.56 || [[42ed11/9]] || 0.43 || [[42ed6/5]] || 0.33 | ||
|- | |- | ||
| [[43ed3/1]] || 5.75 || [[43edo|43ed2/1]] || 4.28 || [[43ed5/3]] || 4.45 || [[43edf|43ed3/2]] || 5.48 || [[43ed7/5]] || 4.06 || [[43ed4/3]] || 0.47 || [[43ed9/7]] || 1.55 || [[43ed5/4]] || 2.72 || [[43ed11/9]] || 3.42 || [[43ed6/5]] || 3.51 | | [[43edt|43ed3/1]] || 5.75 || [[43edo|43ed2/1]] || 4.28 || [[43ed5/3]] || 4.45 || [[43edf|43ed3/2]] || 5.48 || [[43ed7/5]] || 4.06 || [[43ed4/3]] || 0.47 || [[43ed9/7]] || 1.55 || [[43ed5/4]] || 2.72 || [[43ed11/9]] || 3.42 || [[43ed6/5]] || 3.51 | ||
|- | |- | ||
| [[44ed3/1]] || 10.34 || [[44edo|44ed2/1]] || 7.14 || [[44ed5/3]] || 4.43 || [[44edf|44ed3/2]] || 3.43 || [[44ed7/5]] || 2.09 || [[44ed4/3]] || 4.79 || [[44ed9/7]] || 3.74 || [[44ed5/4]] || 1.97 || [[44ed11/9]] || 0.80 || '''[[44ed6/5]]''' ||'''0.01''' | | [[44edt|44ed3/1]] || 10.34 || [[44edo|44ed2/1]] || 7.14 || [[44ed5/3]] || 4.43 || [[44edf|44ed3/2]] || 3.43 || [[44ed7/5]] || 2.09 || [[44ed4/3]] || 4.79 || [[44ed9/7]] || 3.74 || [[44ed5/4]] || 1.97 || [[44ed11/9]] || 0.80 || '''<u>[[44ed6/5]]</u>''' ||'''<u>0.01</u>''' | ||
|- | |- | ||
| [[45ed3/1]] || 16.56 || [[45edo|45ed2/1]] || 8.62 || [[45ed5/3]] || 6.73 || [[45edf|45ed3/2]] || 3.66 || [[45ed7/5]] || 4.97 || [[45ed4/3]] || 1.25 || [[45ed9/7]] || 0.87 || [[45ed5/4]] || 2.12 || [[45ed11/9]] || 2.88 || [[45ed6/5]] || 3.34 | | [[45edt|45ed3/1]] || 16.56 || [[45edo|45ed2/1]] || 8.62 || [[45ed5/3]] || 6.73 || [[45edf|45ed3/2]] || 3.66 || [[45ed7/5]] || 4.97 || [[45ed4/3]] || 1.25 || [[45ed9/7]] || 0.87 || [[45ed5/4]] || 2.12 || [[45ed11/9]] || 2.88 || [[45ed6/5]] || 3.34 | ||
|- | |- | ||
| [[46ed3/1]] || 0.94 || [[46edo|46ed2/1]] || 2.39 || [[46ed5/3]] || 1.81 || [[46edf|46ed3/2]] || 4.82 || [[46ed7/5]] || 0.94 || [[46ed4/3]] || 3.81 || [[46ed9/7]] || 4.17 || [[46ed5/4]] || 2.36 || [[46ed11/9]] || 1.15 || [[46ed6/5]] || 0.32 | | [[46edt|46ed3/1]] || 0.94 || [[46edo|46ed2/1]] || 2.39 || [[46ed5/3]] || 1.81 || [[46edf|46ed3/2]] || 4.82 || [[46ed7/5]] || 0.94 || [[46ed4/3]] || 3.81 || [[46ed9/7]] || 4.17 || [[46ed5/4]] || 2.36 || [[46ed11/9]] || 1.15 || [[46ed6/5]] || 0.32 | ||
|- | |- | ||
| [[47ed3/1]] || 14.01 || [[47edo|47ed2/1]] || 12.59 || [[47ed5/3]] || 8.83 || [[47edf|47ed3/2]] || 2.00 || [[47ed7/5]] || 5.79 || [[47ed4/3]] || 1.95 || [[47ed9/7]] || 0.25 || [[47ed5/4]] || 1.58 || [[47ed11/9]] || 2.39 || [[47ed6/5]] || 2.89 | | [[47edt|47ed3/1]] || 14.01 || [[47edo|47ed2/1]] || 12.59 || [[47ed5/3]] || 8.83 || [[47edf|47ed3/2]] || 2.00 || [[47ed7/5]] || 5.79 || [[47ed4/3]] || 1.95 || [[47ed9/7]] || 0.25 || [[47ed5/4]] || 1.58 || [[47ed11/9]] || 2.39 || [[47ed6/5]] || 2.89 | ||
|- | |- | ||
| [[48ed3/1]] || 11.28 || [[48edo|48ed2/1]] || 1.96 || [[48ed5/3]] || 0.59 || [[48edf|48ed3/2]] || 6.09 || [[48ed7/5]] || 0.11 || [[48ed4/3]] || 2.90 || [[48ed9/7]] || 4.50 || [[48ed5/4]] || 2.70 || [[48ed11/9]] || 1.46 || [[48ed6/5]] || 0.61 | | [[48edt|48ed3/1]] || 11.28 || [[48edo|48ed2/1]] || 1.96 || [[48ed5/3]] || 0.59 || [[48edf|48ed3/2]] || 6.09 || [[48ed7/5]] || 0.11 || [[48ed4/3]] || 2.90 || [[48ed9/7]] || 4.50 || [[48ed5/4]] || 2.70 || [[48ed11/9]] || 1.46 || [[48ed6/5]] || 0.61 | ||
|- | |- | ||
| [[49ed3/1]] || 3.28 || [[49edo|49ed2/1]] || 8.25 || [[49ed5/3]] || 7.30 || [[49edf|49ed3/2]] || 0.48 || [[49ed7/5]] || 5.33 || [[49ed4/3]] || 2.60 || [[49ed9/7]] || 0.31 || [[49ed5/4]] || 1.07 || [[49ed11/9]] || 1.94 || [[49ed6/5]] || 2.48 | | [[49edt|49ed3/1]] || 3.28 || [[49edo|49ed2/1]] || 8.25 || [[49ed5/3]] || 7.30 || [[49edf|49ed3/2]] || 0.48 || [[49ed7/5]] || 5.33 || [[49ed4/3]] || 2.60 || [[49ed9/7]] || 0.31 || [[49ed5/4]] || 1.07 || [[49ed11/9]] || 1.94 || [[49ed6/5]] || 2.48 | ||
|- | |- | ||
| [[50ed3/1]] || 17.25 || [[50edo|50ed2/1]] || 5.96 || [[50ed5/3]] || 2.80 || [[50edf|50ed3/2]] || 6.78 || [[50ed7/5]] || 1.08 || [[50ed4/3]] || 2.07 || [[50ed9/7]] || 3.77 || [[50ed5/4]] || 3.03 || [[50ed11/9]] || 1.75 || [[50ed6/5]] || 0.87 | | [[50edt|50ed3/1]] || 17.25 || [[50edo|50ed2/1]] || 5.96 || [[50ed5/3]] || 2.80 || [[50edf|50ed3/2]] || 6.78 || [[50ed7/5]] || 1.08 || [[50ed4/3]] || 2.07 || [[50ed9/7]] || 3.77 || [[50ed5/4]] || 3.03 || [[50ed11/9]] || 1.75 || [[50ed6/5]] || 0.87 | ||
|- | |- | ||
| [[51ed3/1]] || 6.62 || [[51edo|51ed2/1]] || 3.93 || [[51ed5/3]] || 4.83 || [[51edf|51ed3/2]] || 0.93 || [[51ed7/5]] || 4.17 || [[51ed4/3]] || 3.20 || [[51ed9/7]] || 0.84 || [[51ed5/4]] || 0.61 || [[51ed11/9]] || 1.52 || [[51ed6/5]] || 2.10 | | [[51edt|51ed3/1]] || 6.62 || [[51edo|51ed2/1]] || 3.93 || [[51ed5/3]] || 4.83 || [[51edf|51ed3/2]] || 0.93 || [[51ed7/5]] || 4.17 || [[51ed4/3]] || 3.20 || [[51ed9/7]] || 0.84 || [[51ed5/4]] || 0.61 || [[51ed11/9]] || 1.52 || [[51ed6/5]] || 2.10 | ||
|- | |- | ||
| [[52ed3/1]] || 7.01 || [[52edo|52ed2/1]] || 9.65 || [[52ed5/3]] || 4.84 || [[52edf|52ed3/2]] || 5.16 || [[52ed7/5]] || 1.98 || [[52ed4/3]] || 1.31 || [[52ed9/7]] || 3.10 || [[52ed5/4]] || 3.32 || [[52ed11/9]] || 2.02 || [[52ed6/5]] || 1.11 | | [[52edt|52ed3/1]] || 7.01 || [[52edo|52ed2/1]] || 9.65 || [[52ed5/3]] || 4.84 || [[52edf|52ed3/2]] || 5.16 || [[52ed7/5]] || 1.98 || [[52ed4/3]] || 1.31 || [[52ed9/7]] || 3.10 || [[52ed5/4]] || 3.32 || [[52ed11/9]] || 2.02 || [[52ed6/5]] || 1.11 | ||
|- | |- | ||
| [[53ed3/1]] || 15.76 || [[53edo|53ed2/1]] || 0.07 || [[53ed5/3]] || 2.54 || [[53edf|53ed3/2]] || 2.23 || [[53ed7/5]] || 3.09 || [[53ed4/3]] || 3.75 || [[53ed9/7]] || 1.32 || [[53ed5/4]] || 0.18 || [[53ed11/9]] || 1.13 || [[53ed6/5]] || 1.75 | | [[53edt|53ed3/1]] || 15.76 || [[53edo|53ed2/1]] || 0.07 || [[53ed5/3]] || 2.54 || [[53edf|53ed3/2]] || 2.23 || [[53ed7/5]] || 3.09 || [[53ed4/3]] || 3.75 || [[53ed9/7]] || 1.32 || [[53ed5/4]] || 0.18 || [[53ed11/9]] || 1.13 || [[53ed6/5]] || 1.75 | ||
|- | |- | ||
| [[54ed3/1]] || 2.47 || [[54edo|54ed2/1]] || 9.16 || [[54ed5/3]] || 6.73 || [[54edf|54ed3/2]] || 3.66 || [[54ed7/5]] || 2.81 || [[54ed4/3]] || 0.60 || [[54ed9/7]] || 2.48 || [[54ed5/4]] || 3.55 || [[54ed11/9]] || 2.27 || [[54ed6/5]] || 1.34 | | [[54edt|54ed3/1]] || 2.47 || [[54edo|54ed2/1]] || 9.16 || [[54ed5/3]] || 6.73 || [[54edf|54ed3/2]] || 3.66 || [[54ed7/5]] || 2.81 || [[54ed4/3]] || 0.60 || [[54ed9/7]] || 2.48 || [[54ed5/4]] || 3.55 || [[54ed11/9]] || 2.27 || [[54ed6/5]] || 1.34 | ||
|- | |- | ||
| [[55ed3/1]] || 10.34 || [[55edo|55ed2/1]] || 3.77 || [[55ed5/3]] || 0.41 || [[55edf|55ed3/2]] || 3.43 || [[55ed7/5]] || 2.09 || [[55ed4/3]] || 4.27 || [[55ed9/7]] || 1.77 || [[55ed5/4]] || 0.22 || [[55ed11/9]] || 0.78 || [[55ed6/5]] || 1.42 | | [[55edt|55ed3/1]] || 10.34 || [[55edo|55ed2/1]] || 3.77 || [[55ed5/3]] || 0.41 || [[55edf|55ed3/2]] || 3.43 || [[55ed7/5]] || 2.09 || [[55ed4/3]] || 4.27 || [[55ed9/7]] || 1.77 || [[55ed5/4]] || 0.22 || [[55ed11/9]] || 0.78 || [[55ed6/5]] || 1.42 | ||
|- | |- | ||
| [[56ed3/1]] || 11.28 || [[56edo|56ed2/1]] || 5.19 || [[56ed5/3]] || 7.30 || [[56edf|56ed3/2]] || 2.27 || [[56ed7/5]] || 3.58 || [[56ed4/3]] || 0.06 || [[56ed9/7]] || 1.91 || [[56ed5/4]] || 3.04 || [[56ed11/9]] || 2.50 || [[56ed6/5]] || 1.55 | | [[56edt|56ed3/1]] || 11.28 || [[56edo|56ed2/1]] || 5.19 || [[56ed5/3]] || 7.30 || [[56edf|56ed3/2]] || 2.27 || [[56ed7/5]] || 3.58 || [[56ed4/3]] || 0.06 || [[56ed9/7]] || 1.91 || [[56ed5/4]] || 3.04 || [[56ed11/9]] || 2.50 || [[56ed6/5]] || 1.55 | ||
|- | |- | ||
| [[57ed3/1]] || 1.23 || [[57edo|57ed2/1]] || 7.22 || [[57ed5/3]] || 1.56 || [[57edf|57ed3/2]] || 4.55 || [[57ed7/5]] || 1.16 || [[57ed4/3]] || 4.00 || [[57ed9/7]] || 2.18 || [[57ed5/4]] || 0.59 || [[57ed11/9]] || 0.44 || [[57ed6/5]] || 1.12 | | [[57edt|57ed3/1]] || 1.23 || [[57edo|57ed2/1]] || 7.22 || [[57ed5/3]] || 1.56 || [[57edf|57ed3/2]] || 4.55 || [[57ed7/5]] || 1.16 || [[57ed4/3]] || 4.00 || [[57ed9/7]] || 2.18 || [[57ed5/4]] || 0.59 || [[57ed11/9]] || 0.44 || [[57ed6/5]] || 1.12 | ||
|- | |- | ||
| [[58ed3/1]] || 13.32 || [[58edo|58ed2/1]] || 1.49 || [[58ed5/3]] || 5.12 || [[58edf|58ed3/2]] || 0.97 || [[58ed7/5]] || 4.30 || [[58ed4/3]] || 0.67 || [[58ed9/7]] || 1.37 || [[58ed5/4]] || 2.57 || [[58ed11/9]] || 2.71 || [[58ed6/5]] || 1.74 | | [[58edt|58ed3/1]] || 13.32 || [[58edo|58ed2/1]] || 1.49 || [[58ed5/3]] || 5.12 || [[58edf|58ed3/2]] || 0.97 || [[58ed7/5]] || 4.30 || [[58ed4/3]] || 0.67 || [[58ed9/7]] || 1.37 || [[58ed5/4]] || 2.57 || [[58ed11/9]] || 2.71 || [[58ed6/5]] || 1.74 | ||
|- | |- | ||
| [[59ed3/1]] || 7.25 || [[59edo|59ed2/1]] || 9.91 || [[59ed5/3]] || 3.40 || [[59edf|59ed3/2]] || 5.59 || [[59ed7/5]] || 0.30 || [[59ed4/3]] || 3.26 || [[59ed9/7]] || 2.57 || [[59ed5/4]] || 0.93 || [[59ed11/9]] || 0.13 || [[59ed6/5]] || 0.84 | | [[59edt|59ed3/1]] || 7.25 || [[59edo|59ed2/1]] || 9.91 || [[59ed5/3]] || 3.40 || [[59edf|59ed3/2]] || 5.59 || [[59ed7/5]] || 0.30 || [[59ed4/3]] || 3.26 || [[59ed9/7]] || 2.57 || [[59ed5/4]] || 0.93 || [[59ed11/9]] || 0.13 || [[59ed6/5]] || 0.84 | ||
|- | |- | ||
| [[60ed3/1]] || 4.57 || [[60edo|60ed2/1]] || 1.96 || [[60ed5/3]] || 3.09 || [[60edf|60ed3/2]] || 0.24 || [[60ed7/5]] || 4.74 || [[60ed4/3]] || 1.25 || [[60ed9/7]] || 0.87 || [[60ed5/4]] || 2.12 || [[60ed11/9]] || 2.88 || [[60ed6/5]] || 1.92 | | [[60edt|60ed3/1]] || 4.57 || [[60edo|60ed2/1]] || 1.96 || [[60ed5/3]] || 3.09 || [[60edf|60ed3/2]] || 0.24 || [[60ed7/5]] || 4.74 || [[60ed4/3]] || 1.25 || [[60ed9/7]] || 0.87 || [[60ed5/4]] || 2.12 || [[60ed11/9]] || 2.88 || [[60ed6/5]] || 1.92 | ||
|- | |- | ||
| [[61ed3/1]] || 15.18 || [[61edo|61ed2/1]] || 6.24 || [[61ed5/3]] || 5.12 || [[61edf|61ed3/2]] || 4.94 || [[61ed7/5]] || 0.51 || [[61ed4/3]] || 2.56 || [[61ed9/7]] || 2.93 || [[61ed5/4]] || 1.25 || [[61ed11/9]] || 0.16 || [[61ed6/5]] || 0.58 | | [[61edt|61ed3/1]] || 15.18 || [[61edo|61ed2/1]] || 6.24 || [[61ed5/3]] || 5.12 || [[61edf|61ed3/2]] || 4.94 || [[61ed7/5]] || 0.51 || [[61ed4/3]] || 2.56 || [[61ed9/7]] || 2.93 || [[61ed5/4]] || 1.25 || [[61ed11/9]] || 0.16 || [[61ed6/5]] || 0.58 | ||
|- | |- | ||
| [[62ed3/1]] || 3.61 || [[62edo|62ed2/1]] || 5.18 || [[62ed5/3]] || 1.19 || [[62edf|62ed3/2]] || 1.37 || [[62ed7/5]] || 3.80 || [[62ed4/3]] || 1.78 || [[62ed9/7]] || 0.40 || [[62ed5/4]] || 1.71 || [[62ed11/9]] || 2.51 || [[62ed6/5]] || 2.09 | | [[62edt|62ed3/1]] || 3.61 || [[62edo|62ed2/1]] || 5.18 || [[62ed5/3]] || 1.19 || [[62edf|62ed3/2]] || 1.37 || [[62ed7/5]] || 3.80 || [[62ed4/3]] || 1.78 || [[62ed9/7]] || 0.40 || [[62ed5/4]] || 1.71 || [[62ed11/9]] || 2.51 || [[62ed6/5]] || 2.09 | ||
|- | |- | ||
| [[63ed3/1]] || 7.59 || [[63edo|63ed2/1]] || 2.81 || [[63ed5/3]] || 6.73 || [[63edf|63ed3/2]] || 3.66 || [[63ed7/5]] || 1.27 || [[63ed4/3]] || 1.92 || [[63ed9/7]] || 3.27 || [[63ed5/4]] || 1.56 || [[63ed11/9]] || 0.43 || [[63ed6/5]] || 0.33 | | [[63edt|63ed3/1]] || 7.59 || [[63edo|63ed2/1]] || 2.81 || [[63ed5/3]] || 6.73 || [[63edf|63ed3/2]] || 3.66 || [[63ed7/5]] || 1.27 || [[63ed4/3]] || 1.92 || [[63ed9/7]] || 3.27 || [[63ed5/4]] || 1.56 || [[63ed11/9]] || 0.43 || [[63ed6/5]] || 0.33 | ||
|- | |- | ||
| [[64ed3/1]] || 11.28 || [[64edo|64ed2/1]] || 8.21 || [[64ed5/3]] || 0.59 || [[64edf|64ed3/2]] || 2.43 || [[64ed7/5]] || 2.92 || [[64ed4/3]] || 2.28 || [[64ed9/7]] || 0.04 || [[64ed5/4]] || 1.32 || [[64ed11/9]] || 2.16 || [[64ed6/5]] || 2.25 | | [[64edt|64ed3/1]] || 11.28 || [[64edo|64ed2/1]] || 8.21 || [[64ed5/3]] || 0.59 || [[64edf|64ed3/2]] || 2.43 || [[64ed7/5]] || 2.92 || [[64ed4/3]] || 2.28 || [[64ed9/7]] || 0.04 || [[64ed5/4]] || 1.32 || [[64ed11/9]] || 2.16 || [[64ed6/5]] || 2.25 | ||
|- | |- | ||
| [[65ed3/1]] || 0.31 || [[65edo|65ed2/1]] || 0.42 || [[65ed5/3]] || 5.36 || [[65edf|65ed3/2]] || 2.46 || [[65ed7/5]] || 1.98 || [[65ed4/3]] || 1.31 || [[65ed9/7]] || 3.10 || [[65ed5/4]] || 1.84 || [[65ed11/9]] || 0.68 || [[65ed6/5]] || 0.10 | | [[65edt|65ed3/1]] || 0.31 || [[65edo|65ed2/1]] || 0.42 || [[65ed5/3]] || 5.36 || [[65edf|65ed3/2]] || 2.46 || [[65ed7/5]] || 1.98 || [[65ed4/3]] || 1.31 || [[65ed9/7]] || 3.10 || [[65ed5/4]] || 1.84 || [[65ed11/9]] || 0.68 || [[65ed6/5]] || 0.10 | ||
|- | |- | ||
| [[66ed3/1]] || 10.34 || [[66edo|66ed2/1]] || 7.14 || [[66ed5/3]] || 2.27 || [[66edf|66ed3/2]] || 3.43 || [[66ed7/5]] || 2.09 || [[66ed4/3]] || 2.76 || [[66ed9/7]] || 0.45 || [[66ed5/4]] || 0.95 || [[66ed11/9]] || 1.83 || [[66ed6/5]] || 2.38 | | [[66edt|66ed3/1]] || 10.34 || [[66edo|66ed2/1]] || 7.14 || [[66ed5/3]] || 2.27 || [[66edf|66ed3/2]] || 3.43 || [[66ed7/5]] || 2.09 || [[66ed4/3]] || 2.76 || [[66ed9/7]] || 0.45 || [[66ed5/4]] || 0.95 || [[66ed11/9]] || 1.83 || [[66ed6/5]] || 2.38 | ||
|- | |- | ||
| [[67ed3/1]] || 7.73 || [[67edo|67ed2/1]] || 3.45 || [[67ed5/3]] || 3.53 || [[67edf|67ed3/2]] || 1.33 || [[67ed7/5]] || 2.65 || [[67ed4/3]] || 0.74 || [[67ed9/7]] || 2.60 || [[67ed5/4]] || 2.10 || [[67ed11/9]] || 0.92 || [[67ed6/5]] || 0.12 | | [[67edt|67ed3/1]] || 7.73 || [[67edo|67ed2/1]] || 3.45 || [[67ed5/3]] || 3.53 || [[67edf|67ed3/2]] || 1.33 || [[67ed7/5]] || 2.65 || [[67ed4/3]] || 0.74 || [[67ed9/7]] || 2.60 || [[67ed5/4]] || 2.10 || [[67ed11/9]] || 0.92 || [[67ed6/5]] || 0.12 | ||
|- | |- | ||
| [[68ed3/1]] || 2.71 || [[68edo|68ed2/1]] || 3.93 || [[68ed5/3]] || 3.84 || [[68edf|68ed3/2]] || 4.37 || [[68ed7/5]] || 1.31 || [[68ed4/3]] || 3.20 || [[68ed9/7]] || 0.84 || [[68ed5/4]] || 0.61 || [[68ed11/9]] || 1.52 || [[68ed6/5]] || 2.10 | | [[68edt|68ed3/1]] || 2.71 || [[68edo|68ed2/1]] || 3.93 || [[68ed5/3]] || 3.84 || [[68edf|68ed3/2]] || 4.37 || [[68ed7/5]] || 1.31 || [[68ed4/3]] || 3.20 || [[68ed9/7]] || 0.84 || [[68ed5/4]] || 0.61 || [[68ed11/9]] || 1.52 || [[68ed6/5]] || 2.10 | ||
|- | |- | ||
| [[69ed3/1]] || 12.84 || [[69edo|69ed2/1]] || 6.30 || [[69ed5/3]] || 1.81 || [[69edf|69ed3/2]] || 0.27 || [[69ed7/5]] || 3.28 || [[69ed4/3]] || 0.20 || [[69ed9/7]] || 2.13 || [[69ed5/4]] || 2.36 || [[69ed11/9]] || 1.15 || [[69ed6/5]] || 0.32 | | [[69edt|69ed3/1]] || 12.84 || [[69edo|69ed2/1]] || 6.30 || [[69ed5/3]] || 1.81 || [[69edf|69ed3/2]] || 0.27 || [[69ed7/5]] || 3.28 || [[69ed4/3]] || 0.20 || [[69ed9/7]] || 2.13 || [[69ed5/4]] || 2.36 || [[69ed11/9]] || 1.15 || [[69ed6/5]] || 0.32 | ||
|- | |- | ||
| [[70ed3/1]] || 4.49 || [[70edo|70ed2/1]] || 0.90 || [[70ed5/3]] || 5.33 || [[70edf|70ed3/2]] || 4.78 || [[70ed7/5]] || 0.58 || [[70ed4/3]] || 3.50 || [[70ed9/7]] || 1.20 || [[70ed5/4]] || 0.28 || [[70ed11/9]] || 1.23 || [[70ed6/5]] || 1.83 | | [[70edt|70ed3/1]] || 4.49 || [[70edo|70ed2/1]] || 0.90 || [[70ed5/3]] || 5.33 || [[70edf|70ed3/2]] || 4.78 || [[70ed7/5]] || 0.58 || [[70ed4/3]] || 3.50 || [[70ed9/7]] || 1.20 || [[70ed5/4]] || 0.28 || [[70ed11/9]] || 1.23 || [[70ed6/5]] || 1.83 | ||
|- | |- | ||
| [[71ed3/1]] || 5.46 || [[71edo|71ed2/1]] || 7.90 || [[71ed5/3]] || 0.19 || [[71edf|71ed3/2]] || 0.73 || [[71ed7/5]] || 3.87 || [[71ed4/3]] || 0.31 || [[71ed9/7]] || 1.69 || [[71ed5/4]] || 2.59 || [[71ed11/9]] || 1.36 || [[71ed6/5]] || 0.52 | | [[71edt|71ed3/1]] || 5.46 || [[71edo|71ed2/1]] || 7.90 || [[71ed5/3]] || 0.19 || [[71edf|71ed3/2]] || 0.73 || [[71ed7/5]] || 3.87 || [[71ed4/3]] || 0.31 || [[71ed9/7]] || 1.69 || [[71ed5/4]] || 2.59 || [[71ed11/9]] || 1.36 || [[71ed6/5]] || 0.52 | ||
|- | |- | ||
| [[72ed3/1]] || 11.28 || [[72edo|72ed2/1]] || 1.96 || [[72ed5/3]] || 5.55 || [[72edf|72ed3/2]] || 3.66 || [[72ed7/5]] || 0.11 || [[72ed4/3]] || 2.90 || [[72ed9/7]] || 1.55 || [[72ed5/4]] || 0.02 || [[72ed11/9]] || 0.95 || [[72ed6/5]] || 1.58 | | [[72edt|72ed3/1]] || 11.28 || [[72edo|72ed2/1]] || 1.96 || [[72ed5/3]] || 5.55 || [[72edf|72ed3/2]] || 3.66 || [[72ed7/5]] || 0.11 || [[72ed4/3]] || 2.90 || [[72ed9/7]] || 1.55 || [[72ed5/4]] || 0.02 || [[72ed11/9]] || 0.95 || [[72ed6/5]] || 1.58 | ||
|- | |- | ||
| [[73ed3/1]] || 1.51 || [[73edo|73ed2/1]] || 4.89 || [[73ed5/3]] || 1.35 || [[73edf|73ed3/2]] || 1.68 || [[73ed7/5]] || 3.54 || [[73ed4/3]] || 0.79 || [[73ed9/7]] || 1.27 || [[73ed5/4]] || 2.48 || [[73ed11/9]] || 1.56 || [[73ed6/5]] || 0.70 | | [[73edt|73ed3/1]] || 1.51 || [[73edo|73ed2/1]] || 4.89 || [[73ed5/3]] || 1.35 || [[73edf|73ed3/2]] || 1.68 || [[73ed7/5]] || 3.54 || [[73ed4/3]] || 0.79 || [[73ed9/7]] || 1.27 || [[73ed5/4]] || 2.48 || [[73ed11/9]] || 1.56 || [[73ed6/5]] || 0.70 | ||
|- | |- | ||
| [[74ed3/1]] || 8.00 || [[74edo|74ed2/1]] || 4.66 || [[74ed5/3]] || 3.89 || [[74edf|74ed3/2]] || 2.61 || [[74ed7/5]] || 0.77 || [[74ed4/3]] || 2.34 || [[74ed9/7]] || 1.87 || [[74ed5/4]] || 0.31 || [[74ed11/9]] || 0.69 || [[74ed6/5]] || 1.35 | | [[74edt|74ed3/1]] || 8.00 || [[74edo|74ed2/1]] || 4.66 || [[74ed5/3]] || 3.89 || [[74edf|74ed3/2]] || 2.61 || [[74ed7/5]] || 0.77 || [[74ed4/3]] || 2.34 || [[74ed9/7]] || 1.87 || [[74ed5/4]] || 0.31 || [[74ed11/9]] || 0.69 || [[74ed6/5]] || 1.35 | ||
|- | |- | ||
| [[75ed3/1]] || 8.11 || [[75edo|75ed2/1]] || 2.04 || [[75ed5/3]] || 2.80 || [[75edf|75ed3/2]] || 2.58 || [[75ed7/5]] || 2.80 || [[75ed4/3]] || 1.25 || [[75ed9/7]] || 0.87 || [[75ed5/4]] || 2.12 || [[75ed11/9]] || 1.75 || [[75ed6/5]] || 0.87 | | [[75edt|75ed3/1]] || 8.11 || [[75edo|75ed2/1]] || 2.04 || [[75ed5/3]] || 2.80 || [[75edf|75ed3/2]] || 2.58 || [[75ed7/5]] || 2.80 || [[75ed4/3]] || 1.25 || [[75ed9/7]] || 0.87 || [[75ed5/4]] || 2.12 || [[75ed11/9]] || 1.75 || [[75ed6/5]] || 0.87 | ||
|- | |- | ||
| [[76ed3/1]] || 1.23 || [[76edo|76ed2/1]] || 7.22 || [[76ed5/3]] || 2.32 || [[76edf|76ed3/2]] || 1.61 || [[76ed7/5]] || 1.39 || [[76ed4/3]] || 1.81 || [[76ed9/7]] || 2.18 || [[76ed5/4]] || 0.59 || [[76ed11/9]] || 0.44 || [[76ed6/5]] || 1.12 | | [[76edt|76ed3/1]] || 1.23 || [[76edo|76ed2/1]] || 7.22 || [[76ed5/3]] || 2.32 || [[76edf|76ed3/2]] || 1.61 || [[76ed7/5]] || 1.39 || [[76ed4/3]] || 1.81 || [[76ed9/7]] || 2.18 || [[76ed5/4]] || 0.59 || [[76ed11/9]] || 0.44 || [[76ed6/5]] || 1.12 | ||
|- | |- | ||
| [[77ed3/1]] || 10.34 || [[77edo|77ed2/1]] || 0.66 || [[77ed5/3]] || 4.18 || [[77edf|77ed3/2]] || 3.43 || [[77ed7/5]] || 2.09 || [[77ed4/3]] || 1.68 || [[77ed9/7]] || 0.49 || [[77ed5/4]] || 1.79 || [[77ed11/9]] || 1.93 || [[77ed6/5]] || 1.03 | | [[77edt|77ed3/1]] || 10.34 || [[77edo|77ed2/1]] || 0.66 || [[77ed5/3]] || 4.18 || [[77edf|77ed3/2]] || 3.43 || [[77ed7/5]] || 2.09 || [[77ed4/3]] || 1.68 || [[77ed9/7]] || 0.49 || [[77ed5/4]] || 1.79 || [[77ed11/9]] || 1.93 || [[77ed6/5]] || 1.03 | ||
|- | |- | ||
| [[78ed3/1]] || 5.18 || [[78edo|78ed2/1]] || 5.74 || [[78ed5/3]] || 0.82 || [[78edf|78ed3/2]] || 0.66 || [[78ed7/5]] || 1.98 || [[78ed4/3]] || 1.31 || [[78ed9/7]] || 2.48 || [[78ed5/4]] || 0.85 || [[78ed11/9]] || 0.21 || [[78ed6/5]] || 0.91 | | [[78edt|78ed3/1]] || 5.18 || [[78edo|78ed2/1]] || 5.74 || [[78ed5/3]] || 0.82 || [[78edf|78ed3/2]] || 0.66 || [[78ed7/5]] || 1.98 || [[78ed4/3]] || 1.31 || [[78ed9/7]] || 2.48 || [[78ed5/4]] || 0.85 || [[78ed11/9]] || 0.21 || [[78ed6/5]] || 0.91 | ||
|- | |- | ||
| [[79ed3/1]] || 3.77 || [[79edo|79ed2/1]] || 3.22 || [[79ed5/3]] || 5.49 || [[79edf|79ed3/2]] || 4.24 || [[79ed7/5]] || 1.42 || [[79ed4/3]] || 2.09 || [[79ed9/7]] || 0.14 || [[79ed5/4]] || 1.47 || [[79ed11/9]] || 2.10 || [[79ed6/5]] || 1.19 | | [[79edt|79ed3/1]] || 3.77 || [[79edo|79ed2/1]] || 3.22 || [[79ed5/3]] || 5.49 || [[79edf|79ed3/2]] || 4.24 || [[79ed7/5]] || 1.42 || [[79ed4/3]] || 2.09 || [[79ed9/7]] || 0.14 || [[79ed5/4]] || 1.47 || [[79ed11/9]] || 2.10 || [[79ed6/5]] || 1.19 | ||
|- | |- | ||
| [[80ed3/1]] || 11.28 || [[80edo|80ed2/1]] || 3.04 || [[80ed5/3]] || 0.59 || [[80edf|80ed3/2]] || 0.24 || [[80ed7/5]] || 2.54 || [[80ed4/3]] || 0.83 || [[80ed9/7]] || 2.68 || [[80ed5/4]] || 1.10 || [[80ed11/9]] || 0.01 || [[80ed6/5]] || 0.71 | | [[80edt|80ed3/1]] || 11.28 || [[80edo|80ed2/1]] || 3.04 || [[80ed5/3]] || 0.59 || [[80edf|80ed3/2]] || 0.24 || [[80ed7/5]] || 2.54 || [[80ed4/3]] || 0.83 || [[80ed9/7]] || 2.68 || [[80ed5/4]] || 1.10 || [[80ed11/9]] || 0.01 || [[80ed6/5]] || 0.71 | ||
|- | |- | ||
| [[81ed3/1]] || 2.47 || [[81edo|81ed2/1]] || 5.66 || [[81ed5/3]] || 4.18 || [[81edf|81ed3/2]] || 3.66 || [[81ed7/5]] || 0.79 || [[81ed4/3]] || 2.48 || [[81ed9/7]] || 0.20 || [[81ed5/4]] || 1.17 || [[81ed11/9]] || 2.02 || [[81ed6/5]] || 1.34 | | [[81edt|81ed3/1]] || 2.47 || [[81edo|81ed2/1]] || 5.66 || [[81ed5/3]] || 4.18 || [[81edf|81ed3/2]] || 3.66 || [[81ed7/5]] || 0.79 || [[81ed4/3]] || 2.48 || [[81ed9/7]] || 0.20 || [[81ed5/4]] || 1.17 || [[81ed11/9]] || 2.02 || [[81ed6/5]] || 1.34 | ||
|- | |- | ||
| [[82ed3/1]] || 6.12 || [[82edo|82ed2/1]] || 0.48 || [[82ed5/3]] || 1.94 || [[82edf|82ed3/2]] || 1.09 || [[82ed7/5]] || 3.07 || [[82ed4/3]] || 0.37 || [[82ed9/7]] || 2.29 || [[82ed5/4]] || 1.33 || [[82ed11/9]] || 0.23 || [[82ed6/5]] || 0.51 | | [[82edt|82ed3/1]] || 6.12 || [[82edo|82ed2/1]] || 0.48 || [[82ed5/3]] || 1.94 || [[82edf|82ed3/2]] || 1.09 || [[82ed7/5]] || 3.07 || [[82ed4/3]] || 0.37 || [[82ed9/7]] || 2.29 || [[82ed5/4]] || 1.33 || [[82ed11/9]] || 0.23 || [[82ed6/5]] || 0.51 | ||
|- | |- | ||
| [[83ed3/1]] || 8.41 || [[83edo|83ed2/1]] || 6.48 || [[83ed5/3]] || 2.74 || [[83edf|83ed3/2]] || 2.72 || [[83ed7/5]] || 0.18 || [[83ed4/3]] || 2.85 || [[83ed9/7]] || 0.53 || [[83ed5/4]] || 0.88 || [[83ed11/9]] || 1.76 || [[83ed6/5]] || 1.48 | | [[83edt|83ed3/1]] || 8.41 || [[83edo|83ed2/1]] || 6.48 || [[83ed5/3]] || 2.74 || [[83edf|83ed3/2]] || 2.72 || [[83ed7/5]] || 0.18 || [[83ed4/3]] || 2.85 || [[83ed9/7]] || 0.53 || [[83ed5/4]] || 0.88 || [[83ed11/9]] || 1.76 || [[83ed6/5]] || 1.48 | ||
|- | |- | ||
| [[84ed3/1]] || 0.04 || [[84edo|84ed2/1]] || 1.96 || [[84ed5/3]] || 3.23 || [[84edf|84ed3/2]] || 1.91 || [[84ed7/5]] || 3.35 || [[84ed4/3]] || 0.06 || [[84ed9/7]] || 1.91 || [[84ed5/4]] || 1.56 || [[84ed11/9]] || 0.43 || [[84ed6/5]] || 0.33 | | [[84edt|84ed3/1]] || 0.04 || [[84edo|84ed2/1]] || 1.96 || [[84ed5/3]] || 3.23 || [[84edf|84ed3/2]] || 1.91 || [[84ed7/5]] || 3.35 || [[84ed4/3]] || 0.06 || [[84ed9/7]] || 1.91 || [[84ed5/4]] || 1.56 || [[84ed11/9]] || 0.43 || [[84ed6/5]] || 0.33 | ||
|- | |- | ||
| [[85ed3/1]] || 8.30 || [[85edo|85ed2/1]] || 3.93 || [[85ed5/3]] || 1.36 || [[85edf|85ed3/2]] || 1.83 || [[85ed7/5]] || 0.40 || [[85ed4/3]] || 2.66 || [[85ed9/7]] || 0.84 || [[85ed5/4]] || 0.61 || [[85ed11/9]] || 1.52 || [[85ed6/5]] || 1.61 | | [[85edt|85ed3/1]] || 8.30 || [[85edo|85ed2/1]] || 3.93 || [[85ed5/3]] || 1.36 || [[85edf|85ed3/2]] || 1.83 || [[85ed7/5]] || 0.40 || [[85ed4/3]] || 2.66 || [[85ed9/7]] || 0.84 || [[85ed5/4]] || 0.61 || [[85ed11/9]] || 1.52 || [[85ed6/5]] || 1.61 | ||
|- | |- | ||
| [[86ed3/1]] || 5.75 || [[86edo|86ed2/1]] || 4.28 || [[86ed5/3]] || 4.45 || [[86edf|86ed3/2]] || 2.69 || [[86ed7/5]] || 2.71 || [[86ed4/3]] || 0.47 || [[86ed9/7]] || 1.55 || [[86ed5/4]] || 1.77 || [[86ed11/9]] || 0.62 || [[86ed6/5]] || 0.16 | | [[86edt|86ed3/1]] || 5.75 || [[86edo|86ed2/1]] || 4.28 || [[86ed5/3]] || 4.45 || [[86edf|86ed3/2]] || 2.69 || [[86ed7/5]] || 2.71 || [[86ed4/3]] || 0.47 || [[86ed9/7]] || 1.55 || [[86ed5/4]] || 1.77 || [[86ed11/9]] || 0.62 || [[86ed6/5]] || 0.16 | ||
|- | |- | ||
| [[87ed3/1]] || 2.39 || [[87edo|87ed2/1]] || 1.49 || [[87ed5/3]] || 0.04 || [[87edf|87ed3/2]] || 0.97 || [[87ed7/5]] || 0.95 || [[87ed4/3]] || 2.19 || [[87ed9/7]] || 1.13 || [[87ed5/4]] || 0.35 || [[87ed11/9]] || 1.28 || [[87ed6/5]] || 1.74 | | [[87edt|87ed3/1]] || 2.39 || [[87edo|87ed2/1]] || 1.49 || [[87ed5/3]] || 0.04 || [[87edf|87ed3/2]] || 0.97 || [[87ed7/5]] || 0.95 || [[87ed4/3]] || 2.19 || [[87ed9/7]] || 1.13 || [[87ed5/4]] || 0.35 || [[87ed11/9]] || 1.28 || [[87ed6/5]] || 1.74 | ||
|- | |- | ||
| [[88ed3/1]] || 10.34 || [[88edo|88ed2/1]] || 6.50 || [[88ed5/3]] || 4.43 || [[88edf|88ed3/2]] || 3.43 || [[88ed7/5]] || 2.09 || [[88ed4/3]] || 0.87 || [[88ed9/7]] || 1.20 || [[88ed5/4]] || 1.97 || [[88ed11/9]] || 0.80 || [[88ed6/5]] || 0.01 | | [[88edt|88ed3/1]] || 10.34 || [[88edo|88ed2/1]] || 6.50 || [[88ed5/3]] || 4.43 || [[88edf|88ed3/2]] || 3.43 || [[88ed7/5]] || 2.09 || [[88ed4/3]] || 0.87 || [[88ed9/7]] || 1.20 || [[88ed5/4]] || 1.97 || [[88ed11/9]] || 0.80 || [[88ed6/5]] || 0.01 | ||
|- | |- | ||
| [[89ed3/1]] || 3.26 || [[89edo|89ed2/1]] || 0.83 || [[89ed5/3]] || 1.21 || [[89edf|89ed3/2]] || 0.16 || [[89ed7/5]] || 1.48 || [[89ed4/3]] || 1.74 || [[89ed9/7]] || 1.41 || [[89ed5/4]] || 0.10 || [[89ed11/9]] || 1.06 || [[89ed6/5]] || 1.68 | | [[89edt|89ed3/1]] || 3.26 || [[89edo|89ed2/1]] || 0.83 || [[89ed5/3]] || 1.21 || [[89edf|89ed3/2]] || 0.16 || [[89ed7/5]] || 1.48 || [[89ed4/3]] || 1.74 || [[89ed9/7]] || 1.41 || [[89ed5/4]] || 0.10 || [[89ed11/9]] || 1.06 || [[89ed6/5]] || 1.68 | ||
|- | |- | ||
| [[90ed3/1]] || 4.57 || [[90edo|90ed2/1]] || 4.71 || [[90ed5/3]] || 3.09 || [[90edf|90ed3/2]] || 3.66 || [[90ed7/5]] || 1.50 || [[90ed4/3]] || 1.25 || [[90ed9/7]] || 0.87 || [[90ed5/4]] || 2.12 || [[90ed11/9]] || 0.98 || [[90ed6/5]] || 0.17 | | [[90edt|90ed3/1]] || 4.57 || [[90edo|90ed2/1]] || 4.71 || [[90ed5/3]] || 3.09 || [[90edf|90ed3/2]] || 3.66 || [[90ed7/5]] || 1.50 || [[90ed4/3]] || 1.25 || [[90ed9/7]] || 0.87 || [[90ed5/4]] || 2.12 || [[90ed11/9]] || 0.98 || [[90ed6/5]] || 0.17 | ||
|- | |- | ||
| [[91ed3/1]] || 8.67 || [[91edo|91ed2/1]] || 3.05 || [[91ed5/3]] || 2.42 || [[91edf|91ed3/2]] || 0.62 || [[91ed7/5]] || 1.98 || [[91ed4/3]] || 1.31 || [[91ed9/7]] || 1.68 || [[91ed5/4]] || 0.14 || [[91ed11/9]] || 0.84 || [[91ed6/5]] || 1.49 | | [[91edt|91ed3/1]] || 8.67 || [[91edo|91ed2/1]] || 3.05 || [[91ed5/3]] || 2.42 || [[91edf|91ed3/2]] || 0.62 || [[91ed7/5]] || 1.98 || [[91ed4/3]] || 1.31 || [[91ed9/7]] || 1.68 || [[91ed5/4]] || 0.14 || [[91ed11/9]] || 0.84 || [[91ed6/5]] || 1.49 | ||
|- | |- | ||
| [[92ed3/1]] || 0.94 || [[92edo|92ed2/1]] || 2.39 || [[92ed5/3]] || 1.81 || [[92edf|92ed3/2]] || 2.81 || [[92ed7/5]] || 0.94 || [[92ed4/3]] || 1.61 || [[92ed9/7]] || 0.56 || [[92ed5/4]] || 1.84 || [[92ed11/9]] || 1.15 || [[92ed6/5]] || 0.32 | | [[92edt|92ed3/1]] || 0.94 || [[92edo|92ed2/1]] || 2.39 || [[92ed5/3]] || 1.81 || [[92edf|92ed3/2]] || 2.81 || [[92ed7/5]] || 0.94 || [[92ed4/3]] || 1.61 || [[92ed9/7]] || 0.56 || [[92ed5/4]] || 1.84 || [[92ed11/9]] || 1.15 || [[92ed6/5]] || 0.32 | ||
|- | |- | ||
| [[93ed3/1]] || 6.62 || [[93edo|93ed2/1]] || 5.18 || [[93ed5/3]] || 3.56 || [[93edf|93ed3/2]] || 1.37 || [[93ed7/5]] || 2.46 || [[93ed4/3]] || 0.90 || [[93ed9/7]] || 1.94 || [[93ed5/4]] || 0.37 || [[93ed11/9]] || 0.64 || [[93ed6/5]] || 1.30 | | [[93edt|93ed3/1]] || 6.62 || [[93edo|93ed2/1]] || 5.18 || [[93ed5/3]] || 3.56 || [[93edf|93ed3/2]] || 1.37 || [[93ed7/5]] || 2.46 || [[93ed4/3]] || 0.90 || [[93ed9/7]] || 1.94 || [[93ed5/4]] || 0.37 || [[93ed11/9]] || 0.64 || [[93ed6/5]] || 1.30 | ||
|- | |- | ||
| [[94ed3/1]] || 6.22 || [[94edo|94ed2/1]] || 0.17 || [[94ed5/3]] || 0.58 || [[94edf|94ed3/2]] || 2.00 || [[94ed7/5]] || 0.40 || [[94ed4/3]] || 1.95 || [[94ed9/7]] || 0.25 || [[94ed5/4]] || 1.58 || [[94ed11/9]] || 1.31 || [[94ed6/5]] || 0.47 | | [[94edt|94ed3/1]] || 6.22 || [[94edo|94ed2/1]] || 0.17 || [[94ed5/3]] || 0.58 || [[94edf|94ed3/2]] || 2.00 || [[94ed7/5]] || 0.40 || [[94ed4/3]] || 1.95 || [[94ed9/7]] || 0.25 || [[94ed5/4]] || 1.58 || [[94ed11/9]] || 1.31 || [[94ed6/5]] || 0.47 | ||
|- | |- | ||
| [[95ed3/1]] || 1.23 || [[95edo|95ed2/1]] || 5.41 || [[95ed5/3]] || 4.64 || [[95edf|95ed3/2]] || 2.09 || [[95ed7/5]] || 2.92 || [[95ed4/3]] || 0.50 || [[95ed9/7]] || 2.18 || [[95ed5/4]] || 0.59 || [[95ed11/9]] || 0.44 || [[95ed6/5]] || 1.12 | | [[95edt|95ed3/1]] || 1.23 || [[95edo|95ed2/1]] || 5.41 || [[95ed5/3]] || 4.64 || [[95edf|95ed3/2]] || 2.09 || [[95ed7/5]] || 2.92 || [[95ed4/3]] || 0.50 || [[95ed9/7]] || 2.18 || [[95ed5/4]] || 0.59 || [[95ed11/9]] || 0.44 || [[95ed6/5]] || 1.12 | ||
|- | |- | ||
| [[96ed3/1]] || 8.53 || [[96edo|96ed2/1]] || 1.96 || [[96ed5/3]] || 0.59 || [[96edf|96ed3/2]] || 1.22 || [[96ed7/5]] || 0.11 || [[96ed4/3]] || 2.28 || [[96ed9/7]] || 0.04 || [[96ed5/4]] || 1.32 || [[96ed11/9]] || 1.46 || [[96ed6/5]] || 0.61 | | [[96edt|96ed3/1]] || 8.53 || [[96edo|96ed2/1]] || 1.96 || [[96ed5/3]] || 0.59 || [[96edf|96ed3/2]] || 1.22 || [[96ed7/5]] || 0.11 || [[96ed4/3]] || 2.28 || [[96ed9/7]] || 0.04 || [[96ed5/4]] || 1.32 || [[96ed11/9]] || 1.46 || [[96ed6/5]] || 0.61 | ||
|- | |- | ||
| [[97ed3/1]] || 3.93 || [[97edo|97ed2/1]] || 3.20 || [[97ed5/3]] || 3.40 || [[97edf|97ed3/2]] || 2.77 || [[97ed7/5]] || 2.64 || [[97ed4/3]] || 0.12 || [[97ed9/7]] || 2.07 || [[97ed5/4]] || 0.80 || [[97ed11/9]] || 0.25 || [[97ed6/5]] || 0.95 | | [[97edt|97ed3/1]] || 3.93 || [[97edo|97ed2/1]] || 3.20 || [[97ed5/3]] || 3.40 || [[97edf|97ed3/2]] || 2.77 || [[97ed7/5]] || 2.64 || [[97ed4/3]] || 0.12 || [[97ed9/7]] || 2.07 || [[97ed5/4]] || 0.80 || [[97ed11/9]] || 0.25 || [[97ed6/5]] || 0.95 | ||
|- | |- | ||
| [[98ed3/1]] || 3.28 || [[98edo|98ed2/1]] || 4.00 || [[98ed5/3]] || 1.72 || [[98edf|98ed3/2]] || 0.48 || [[98ed7/5]] || 0.61 || [[98ed4/3]] || 2.48 || [[98ed9/7]] || 0.31 || [[98ed5/4]] || 1.07 || [[98ed11/9]] || 1.61 || [[98ed6/5]] || 0.74 | | [[98edt|98ed3/1]] || 3.28 || [[98edo|98ed2/1]] || 4.00 || [[98ed5/3]] || 1.72 || [[98edf|98ed3/2]] || 0.48 || [[98ed7/5]] || 0.61 || [[98ed4/3]] || 2.48 || [[98ed9/7]] || 0.31 || [[98ed5/4]] || 1.07 || [[98ed11/9]] || 1.61 || [[98ed6/5]] || 0.74 | ||
|- | |- | ||
| [[99ed3/1]] || 8.88 || [[99edo|99ed2/1]] || 1.08 || [[99ed5/3]] || 2.20 || [[99edf|99ed3/2]] || 3.43 || [[99ed7/5]] || 2.09 || [[99ed4/3]] || 0.24 || [[99ed9/7]] || 1.75 || [[99ed5/4]] || 1.00 || [[99ed11/9]] || 0.07 || [[99ed6/5]] || 0.79 | | [[99edt|99ed3/1]] || 8.88 || [[99edo|99ed2/1]] || 1.08 || [[99ed5/3]] || 2.20 || [[99edf|99ed3/2]] || 3.43 || [[99ed7/5]] || 2.09 || [[99ed4/3]] || 0.24 || [[99ed9/7]] || 1.75 || [[99ed5/4]] || 1.00 || [[99ed11/9]] || 0.07 || [[99ed6/5]] || 0.79 | ||
|- | |- | ||
| [[100ed3/1]] || 1.77 || [[100edo|100ed2/1]] || 5.96 || [[100ed5/3]] || 2.80 || [[100edf|100ed3/2]] || 0.24 || [[100ed7/5]] || 1.08 || [[100ed4/3]] || 2.07 || [[100ed9/7]] || 0.58 || [[100ed5/4]] || 0.84 || [[100ed11/9]] || 1.72 || [[100ed6/5]] || 0.87 | | [[100edt|100ed3/1]] || 1.77 || [[100edo|100ed2/1]] || 5.96 || [[100ed5/3]] || 2.80 || [[100edf|100ed3/2]] || 0.24 || [[100ed7/5]] || 1.08 || [[100ed4/3]] || 2.07 || [[100ed9/7]] || 0.58 || [[100ed5/4]] || 0.84 || [[100ed11/9]] || 1.72 || [[100ed6/5]] || 0.87 | ||
|} | |} | ||
Latest revision as of 00:21, 28 October 2025
Context
Read this first: Equal-step_tuning#Alpha-beta-gamma_family_of_equal_divisions
The Alpha-Beta-Gamma family
| Tuning | Intervals | Mappings | ||||
|---|---|---|---|---|---|---|
| Name | Equal division | Steps per octave | Equave | SSC pair | Steps (Equave, SSC pair) | Errors (cent) |
| Alpha 3/1 | 3ed3/1 | 1.89278926071437 | 3/1 | 2/1, 3/2 | 3\3<3/1>, 2\3<3/1>, 1\3<3/1> | 0, 67.970, -67.970 |
| Beta 3/1 | 5ed3/1 | 3.15464876785729 | 5\5<3/1>, 3\5<3/1>, 2\5<3/1> | 0, -58.827, 58.827 | ||
| Gamma 3/1 | 8ed3/1 | 5.04743802857166 | 8\8<3/1>, 5\8<3/1>, 3\8<3/1> | 0, -11.278, 11.278 | ||
| Alpha 2/1 | 5ed2/1 | 5 | 2/1 | 3/2, 4/3 | 5\5<2/1>, 3\5<2/1>, 2\5<2/1> | 0, 18.045, -18.045 |
| Beta 2/1 | 7ed2/1 | 7 | 7\7<2/1>, 4\7<2/1>, 3\7<2/1> | 0, -16.241, 16.241 | ||
| Gamma 2/1 | 12ed2/1 | 12 | 12\12<2/1>, 7\12<2/1>, 5\12<2/1> | 0, -1.955, 1.955 | ||
| Alpha 5/3 | 7ed5/3 | 9.49840814199707 | 5/3 | 4/3, 5/4 | 7\7<5/3>, 4\7<5/3>, 3\7<5/3> | 0, 7.303, -7.303 |
| Beta 5/3 | 9ed5/3 | 12.2122390397105 | 9\9<5/3>, 5\9<5/3>, 4\9<5/3> | 0, -6.735, 6.735 | ||
| Gamma 5/3 | 16ed5/3 | 21.7106471817076 | 16\16<5/3>, 9\16<5/3>, 7\16<5/3> | 0, -0.593, 0.593 | ||
| Alpha 3/2 | 9ed3/2 | 15.3856016221631 | 3/2 | 5/4, 6/5 | 9\9<3/2>, 5\9<3/2>, 4\9<3/2> | 0, 3.661, -3.661 |
| Beta 3/2 | 11ed3/2 | 18.8046242048660 | 11\11<3/2>, 6\11<3/2>, 5\11<3/2> | 0, -3.429, 3.429 | ||
| Gamma 3/2 | 20ed3/2 | 34.1902258270291 | 20\20<3/2>, 11\20<3/2>, 9\20<3/2> | 0, -0.238, 0.238 | ||
| Alpha 7/5 | 11ed7/5 | 22.6604698881676 | 7/5 | 6/5, 7/6 | 11\11<7/5>, 6\11<7/5>, 5\11<7/5> | 0, 2.093, -2.093 |
| Beta 7/5 | 13ed7/5 | 26.7805553223799 | 13\13<7/5>, 7\13<7/5>, 6\13<7/5> | 0, -1.981, 1.981 | ||
| Gamma 7/5 | 24ed7/5 | 49.4410252105475 | 24\24<7/5>, 13\24<7/5>, 11\24<7/5> | 0, -0.114, 0.114 | ||
| Alpha 4/3 | 13ed4/3 | 31.3224709154917 | 4/3 | 7/6, 8/7 | 13\13<4/3>, 7\13<4/3>, 6\13<4/3> | 0, 1.307, -1.307 |
| Beta 4/3 | 15ed4/3 | 36.1413125947981 | 15\15<4/3>, 8\15<4/3>, 7\15<4/3> | 0, -1.247, 1.247 | ||
| Gamma 4/3 | 28ed4/3 | 67.4637835102899 | 28\28<4/3>, 15\28<4/3>, 13\28<4/3> | 0, -0.061, 0.061 | ||
| Alpha 9/7 | 15ed9/7 | 41.3713123417559 | 9/7 | 8/7, 9/8 | 15\15<9/7>, 8\15<9/7>, 7\15<9/7> | 0, 0.871, -0.871 |
| Beta 9/7 | 17ed9/7 | 46.8874873206567 | 17\17<9/7>, 9\17<9/7>, 8\17<9/7> | 0, -0.835, 0.835 | ||
| Gamma 9/7 | 32ed9/7 | 88.2587996624126 | 32\32<9/7>, 17\32<9/7>, 15\32<9/7> | 0, -0.036, 0.036 | ||
| Alpha 5/4 | 17ed5/4 | 52.8068232315916 | 5/4 | 9/8, 10/9 | 17\17<5/4>, 9\17<5/4>, 8\17<5/4> | 0, 0.609, -0.609 |
| Beta 5/4 | 19ed5/4 | 59.0193906706024 | 19\19<5/4>, 10\19<5/4>, 9\19<5/4> | 0, -0.587, 0.587 | ||
| Gamma 5/4 | 36ed5/4 | 111.826213902194 | 36\36<5/4>, 19\36<5/4>, 17\36<5/4> | 0, -0.022, 0.022 | ||
| Alpha 11/9 | 19ed11/9 | 65.6288971357202 | 11/9 | 10/9, 11/10 | 19\19<11/9>, 10\19<11/9>, 9\19<11/9> | 0, 0.443, -0.443 |
| Beta 11/9 | 21ed11/9 | 72.5372020973750 | 21\21<11/9>, 11\21<11/9>, 10\21<11/9> | 0, -0.428, 0.428 | ||
| Gamma 11/9 | 40ed11/9 | 138.166099233095 | 40\40<11/9>, 21\40<11/9>, 19\40<11/9> | 0, -0.015, 0.015 | ||
| Alpha 6/5 | 21ed6/5 | 79.8374643554025 | 6/5 | 11/10, 12/11 | 21\21<6/5>, 11\21<6/5>, 10\21<6/5> | 0, 0.332, -0.332 |
| Beta 6/5 | 23ed6/5 | 87.4410323892504 | 23\23<6/5>, 12\23<6/5>, 11\23<6/5> | 0, -0.322, 0.322 | ||
| Gamma 6/5 | 44ed6/5 | 167.278496744653 | 44\44<6/5>, 23\44<6/5>, 21\44<6/5> | 0, -0.010, 0.010 | ||
| Alpha 13/11 | 23ed13/11 | 95.4324773621886 | 13/11 | 12/11, 13/12 | 23\23<13/11>, 12\23<13/11>, 11\23<13/11> | 0, 0.255, -0.255 |
| Beta 13/11 | 25ed13/11 | 103.730953654553 | 25\25<13/11>, 13\25<13/11>, 12\25<13/11> | 0, -0.248, 0.248 | ||
| Gamma 13/11 | 48ed13/11 | 199.163431016741 | 48\48<13/11>, 25\48<13/11>, 23\48<13/11> | 0, -0.007, 0.007 | ||
| Alpha 7/6 | 25ed7/6 | 112.413902640048 | 7/6 | 13/12, 14/13 | 25\25<7/6>, 13\25<7/6>, 12\25<7/6> | 0, 0.200, -0.200 |
| Beta 7/6 | 27ed7/6 | 121.407014851252 | 27\27<7/6>, 14\27<7/6>, 13\27<7/6> | 0, -0.195, 0.195 | ||
| Gamma 7/6 | 52ed7/6 | 233.820917491300 | 52\52<7/6>, 27\52<7/6>, 25\52<7/6> | 0, -0.005, 0.005 | ||
| Alpha 15/13 | 27ed15/13 | 130.781715879411 | 15/13 | 14/13, 15/14 | 27\27<15/13>, 14\27<15/13>, 13\27<15/13> | 0, 0.160, -0.160 |
| Beta 15/13 | 29ed15/13 | 140.469250388997 | 29\29<15/13>, 15\29<15/13>, 14\29<15/13> | 0, -0.156, 0.156 | ||
| Gamma 15/13 | 56ed15/13 | 271.250966268408 | 56\56<15/13>, 29\56<15/13>, 27\56<15/13> | 0, -0.004, 0.004 | ||
| Alpha 8/7 | 29ed8/7 | 150.535899020849 | 8/7 | 15/14, 16/15 | 29\29<8/7>, 15\29<8/7>, 14\29<8/7> | 0, 0.130, -0.130 |
| Beta 8/7 | 31ed8/7 | 160.917685160217 | 31\31<8/7>, 16\31<8/7>, 15\31<8/7> | 0, -0.127, 0.127 | ||
| Gamma 8/7 | 60ed8/7 | 311.453584181066 | 60\60<8/7>, 31\60<8/7>, 29\60<8/7> | 0, -0.003, 0.003 | ||
The converging Alpha-Beta-Gamma sequence
As a fact, for each [math]\displaystyle{ n\ge 2 }[/math], equal divisions of [math]\displaystyle{ R_n=\dfrac{n+1}{n-1} }[/math] where low errors appear for [math]\displaystyle{ S_n=\dfrac{n+1}{n} }[/math] and [math]\displaystyle{ B_n=\dfrac{n}{n-1} }[/math] forms a converging sequence and pattern, with the happy equal divisions of [math]\displaystyle{ R_n }[/math] being:
- Alpha: [math]\displaystyle{ k_\alpha=2n-1 }[/math]
- Beta: [math]\displaystyle{ k_\beta=2n+1 }[/math]
- Gamma: [math]\displaystyle{ k_\gamma=4n=k_\alpha+k_\beta }[/math]
In this sequence, the errors are lower and lower.
| Todo: Why this pattern
Explain why divisions of ratios where low errors appear for successive superparticular complementary pair make this pattern appears. |