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== Theory ==
== Theory ==
104edo has two different equally viable 5-limit [[val]]s, and both are useful. The flat major third val, {{val| 104 165 241 }} ([[patent val]]), tempers out [[3125/3072]], and [[support]]s [[magic]] temperament. The sharp major third val, {{val| 104 165 242 }} (104c val), tempers out [[2048/2025]] and supports [[diaschismic]] temperament.
104edo is a strong no-fives system, with good approximations up to the no-5 19-limit. In the [[2.3.7.11.13 subgroup|2.3.7.11.13-subgroup]], it tempers out [[352/351]], [[364/363]], [[896/891]], [[2197/2187]], [[10648/10647]], 16807/16731, 20449/20412, 21632/21609, and 26411/26364.<!-- Add commas in 2.3.7.11.13.17.19 as well --> It is an excellent tuning for the 2.3.7.11.13-subgroup [[rank]]-3 [[parapyth]] temperament tempering out 352/351, 364/363, and 896/891, which maps [[14/11]] to the diatonic major third and [[13/11]] to the diatonic minor third, in fact providing the [[optimal patent val]]. Additionally, it supports the extension to prime 17 known as [[etypyth]], which maps 17/14 to the augmented second, though [[121edo]] is a more optimal tuning of it. It also provides the optimal patent val for the 2.3.7.11.13-subgroup {{nowrap| 17 & 87 }} temperament tempering out 352/351, 364/363 and 2197/2187, which splits 3/1 into three ~13/9's, and can be considered a rank-2 reduction of parapyth.


104edo with the flat third is especially notable as an excellent tuning for magic temperament, providing the [[optimal patent val]] for 11-limit magic and the 13-limit magic extension [[necromancy]]. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out [[225/224]], [[245/243]] and [[875/864]]; and in the 11-limit, [[100/99]], [[896/891]], [[385/384]] and [[540/539]]. It provides an excellent tuning also for the rank-3 temperaments pairing 100/99 with 225/224 ([[apollo]] temperament), 245/243 or 875/864, or the rank-4 temperament tempering out 100/99, for which it gives the optimal patent val.
Notably, 104edo inherits [[26edo]]'s accurate representation of the [[2.7.11 subgroup|2.7.11-subgroup]], and thus supports [[orgone]] temperament in that subgroup.


104 with the sharp third is excellent for 11-, 13-, or 17-limit diaschismic. It tempers out 2048/2025 in the 5-limit, [[126/125]] and [[5120/5103]] in the 7-limit, [[176/175]] and 896/891 in the 11-limit, [[196/195]], [[352/351]] and [[364/363]] in the 13-limit and [[136/135]] and [[256/255]] in the 17-limit.
If prime 5 is desired, 104edo has two different equally viable 5-limit [[val]]s, and both are useful. The flat major third val, {{val| 104 165 241 }} ([[patent val]]), tempers out [[3125/3072]], and [[support]]s [[magic]] temperament. The sharp major third val, {{val| 104 165 242 }} (104c val), tempers out [[2048/2025]] and supports [[diaschismic]] temperament. Additionally, it is viable to treat 104edo as dual-5, or as a 2.3.25.7.11.13.17.19 subgroup temperament.


104 is also notable as a no-fives system; on 2.3.7.11.13, it tempers out 352/351, 364/363, 896/891, [[2197/2187]], [[10648/10647]], 16807/16731, 20449/20412, 21632/21609, and 26411/26364. It is the optimal patent val for the {{nowrap|17 &amp; 87}} 2.3.7.11.13 subgroup temperament tempering out 352/351, 364/363 and 2197/2187, which has a 13/9 generator, three of which give a 3.
104edo with the flat third is especially notable as an excellent tuning for magic temperament, providing the [[optimal patent val]] for 11-limit magic and the 13-limit magic extension [[necromancy]]. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out [[225/224]], [[245/243]] and [[875/864]]; and in the 11-limit, [[100/99]], 896/891, [[385/384]] and [[540/539]]. It also provides an excellent tuning for the rank-3 temperament pairing 100/99 with 225/224 ([[apollo]] temperament), 245/243 or 875/864, and the rank-4 temperament tempering out 100/99, for which it gives the optimal patent val.
 
104edo with the sharp third is excellent for 11-, 13-, or 17-limit diaschismic. It tempers out 2048/2025 in the 5-limit, [[126/125]] and [[5120/5103]] in the 7-limit, [[176/175]] and 896/891 in the 11-limit, [[196/195]], 352/351 and 364/363 in the 13-limit, and [[136/135]] and [[256/255]] in the 17-limit.


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|104}}
{{Harmonics in equal|104}}
=== Octave stretch ===
104edo's approximations of harmonics 3, 7, 11, and 13 can all be improved if slightly compressing the octave is acceptable, using tunings such as [[269ed6]], which is also suitable for the full 13-limit and beyond, using the 104c val. A greater focus on prime 5 could lead to more heavily compressed tunings such as [[165edt]].


=== Subsets and supersets ===
=== Subsets and supersets ===
Since 104 factors into 2<sup>3</sup> × 13, it has subset edos {{EDOs| 2, 4, 8, 13, 26, and 52 }}.  
Since 104 factors into primes as {{nowrap| 2<sup>3</sup> × 13 }}, 104edo has subset edos {{EDOs| 2, 4, 8, 13, 26, and 52 }}.


== Regular temperament properties ==
== Regular temperament properties ==
Line 32: Line 37:
| {{monzo| 165 -104 }}
| {{monzo| 165 -104 }}
| {{mapping| 104 165 }}
| {{mapping| 104 165 }}
| &minus;0.597
| −0.597
| 0.596
| 0.596
| 5.17
| 5.17
Line 39: Line 44:
| 2048/2025, {{monzo| 0 22 -15 }}
| 2048/2025, {{monzo| 0 22 -15 }}
| {{mapping| 104 165 242 }} (104c)
| {{mapping| 104 165 242 }} (104c)
| &minus;1.258
| −1.258
| 1.054
| 1.054
| 9.14
| 9.14
Line 46: Line 51:
| 126/125, 2048/2025, 117649/116640
| 126/125, 2048/2025, 117649/116640
| {{mapping| 104 165 242 292 }} (104c)
| {{mapping| 104 165 242 292 }} (104c)
| &minus;0.980
| −0.980
| 1.032
| 1.032
| 8.95
| 8.95
Line 53: Line 58:
| 126/125, 176/175, 896/891, 14641/14580
| 126/125, 176/175, 896/891, 14641/14580
| {{mapping| 104 165 242 292 360 }} (104c)
| {{mapping| 104 165 242 292 360 }} (104c)
| &minus;0.930
| −0.930
| 0.929
| 0.929
| 8.05
| 8.05
Line 60: Line 65:
| 126/125, 176/175, 196/195, 364/363, 2197/2187
| 126/125, 176/175, 196/195, 364/363, 2197/2187
| {{mapping| 104 165 242 292 360 385 }} (104c)
| {{mapping| 104 165 242 292 360 385 }} (104c)
| &minus;0.855
| −0.855
| 0.864
| 0.864
| 7.49
| 7.49
Line 151: Line 156:
| [[Bosonic]]
| [[Bosonic]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Intervals ==
== Intervals ==
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
|-
|-
! rowspan="2" | &#35;
! rowspan="2" | #
! rowspan="2" | Cents
! rowspan="2" | Cents
! colspan="3" | Approximate Ratios
! colspan="3" | Approximate ratios
|-
|-
! Of 2.3.7.11.13.17.19.25<br />subgroup
! Of 2.3.25.7.11.13.17.19<br>subgroup
! Additional ratios of 5<br />tending sharp (104c val)
! Additional ratios of 5<br>tending sharp (104c val)
! Additional ratios of 5<br />tending flat (patent val)
! Additional ratios of 5<br>tending flat (patent val)
|-
|-
| 0
| 0
| 0.000
| 0.0
| [[1/1]]
| [[1/1]]
| ''[[126/125]]''
|  
| ''[[225/224]]'', ''[[100/99]]''
|  
|-
|-
| 1
| 1
| 11.538
| 11.5
| [[225/224]], [[100/99]]
| [[144/143]], [[169/168]]
|
| ''[[91/90]]'', [[121/120]]
|
| [[105/104]], [[196/195]]
|-
|-
| 2
| 2
| 23.077
| 23.1
| [[64/63]]
| [[64/63]], [[99/98]]
| [[81/80]], ''[[225/224]]''
| [[81/80]], [[100/99]], ''[[105/104]]''
| ''[[50/49]]''
| ''[[50/49]]'', ''[[55/54]]'', [[91/90]], ''[[121/120]]''
|-
|-
| 3
| 3
| 34.615
| 34.6
| [[49/48]], [[50/49]]
| [[49/48]], [[50/49]]
|
| [[55/54]]
| ''[[81/80]]'', ''[[126/125]]''
| ''[[40/39]]'', [[45/44]], ''[[81/80]]'', ''[[126/125]]''
|-
|-
| 4
| 4
| 46.154
| 46.2
|
|
| [[36/35]], ''[[50/49]]''
| [[36/35]], [[40/39]], ''[[45/44]]'', ''[[50/49]]''
|
|
|-
|-
| 5
| 5
| 57.692
| 57.7
| ''[[28/27]]'', [[33/32]]
| [[28/27]], [[33/32]]
|
| ''[[26/25]]''
| ''[[25/24]]'', ''[[36/35]]''
| ''[[25/24]]'', ''[[36/35]]''
|-
|-
| 6
| 6
| 69.231
| 69.2
| [[25/24]]
| [[25/24]], [[26/25]], [[27/26]]
|
|
|
|
|-
|-
| 7
| 7
| 80.769
| 80.8
| [[22/21]]
| [[22/21]]
| ''[[25/24]]'', [[21/20]]
| [[21/20]], ''[[25/24]]''
| ''[[20/19]]''
| ''[[20/19]]'', ''[[26/25]]''
|-
|-
| 8
| 8
| 92.308
| 92.3
| [[19/18]]
| [[19/18]]
| [[20/19]]
| [[20/19]]
Line 220: Line 224:
|-
|-
| 9
| 9
| 103.846
| 103.8
| [[17/16]], [[18/17]]
| [[17/16]], [[18/17]]
| ''[[16/15]]''
| ''[[16/15]]''
Line 226: Line 230:
|-
|-
| 10
| 10
| 115.385
| 115.4
|
|
|
|
Line 232: Line 236:
|-
|-
| 11
| 11
| 126.923
| 126.9
| [[14/13]]
| [[14/13]]
| ''[[15/14]]''
| ''[[15/14]]''
Line 238: Line 242:
|-
|-
| 12
| 12
| 138.462
| 138.5
| [[13/12]]
| [[13/12]]
|
|
Line 244: Line 248:
|-
|-
| 13
| 13
| 150.000
| 150.0
| [[12/11]]
| [[12/11]]
|
|
Line 250: Line 254:
|-
|-
| 14
| 14
| 161.538
| 161.5
|
|
| [[11/10]]
| [[11/10]]
Line 256: Line 260:
|-
|-
| 15
| 15
| 173.077
| 173.1
| [[21/19]]
| [[21/19]]
|
|
Line 262: Line 266:
|-
|-
| 16
| 16
| 184.615
| 184.6
|
|
| [[10/9]]
| [[10/9]]
Line 268: Line 272:
|-
|-
| 17
| 17
| 196.154
| 196.2
| [[28/25]], [[19/17]]
| [[19/17]], [[28/25]]
|
|
|
|
|-
|-
| 18
| 18
| 207.692
| 207.7
| [[9/8]]
| [[9/8]]
| ''[[17/15]]''
| ''[[17/15]]''
Line 280: Line 284:
|-
|-
| 19
| 19
| 219.231
| 219.2
| [[25/22]]
| [[25/22]]
|
|
Line 286: Line 290:
|-
|-
| 20
| 20
| 230.769
| 230.8
| [[8/7]]
| [[8/7]]
|
|
Line 292: Line 296:
|-
|-
| 21
| 21
| 242.308
| 242.3
|
| [[38/33]]
|
|  
| [[15/13]]
| [[15/13]]
|-
|-
| 22
| 22
| 253.846
| 253.8
| [[22/19]]
| [[22/19]]
| ''[[15/13]]''
| ''[[15/13]]''
Line 304: Line 308:
|-
|-
| 23
| 23
| 265.385
| 265.4
| [[7/6]]
| [[7/6]]
|
|
Line 310: Line 314:
|-
|-
| 24
| 24
| 276.923
| 276.9
| [[75/64]]
| [[75/64]]
|
|
Line 316: Line 320:
|-
|-
| 25
| 25
| 288.462
| 288.5
| [[32/27]], [[13/11]]
| [[13/11]], [[32/27]]
| ''[[20/17]]''
| ''[[20/17]]''
|
|
|-
|-
| 26
| 26
| 300.000
| 300.0
| [[25/21]], [[19/16]]
| [[19/16]], [[25/21]]
|
|
|
|
|-
|-
| 27
| 27
| 311.538
| 311.5
|
|
| [[6/5]]
| [[6/5]]
Line 334: Line 338:
|-
|-
| 28
| 28
| 323.077
| 323.1
|
|
|
|
| [[6/5]], ''[[40/33]]''
| ''[[6/5]]'', ''[[40/33]]''
|-
|-
| 29
| 29
| 334.615
| 334.6
| [[17/14]]
| [[17/14]]
| [[40/33]]
| [[40/33]]
Line 346: Line 350:
|-
|-
| 30
| 30
| 346.154
| 346.2
| [[11/9]], [[39/32]]
| [[11/9]], [[39/32]]
|
|
Line 352: Line 356:
|-
|-
| 31
| 31
| 357.692
| 357.7
| [[27/22]], [[16/13]]
| [[16/13]], [[27/22]]
|
|
|
|
|-
|-
| 32
| 32
| 369.231
| 369.2
| [[26/21]], [[21/17]]
| [[21/17]], [[26/21]]
|
|
|
|
|-
|-
| 33
| 33
| 380.769
| 380.8
|
|
|
|
Line 370: Line 374:
|-
|-
| 34
| 34
| 392.308
| 392.3
|
|
| ''[[5/4]]''
| ''[[5/4]]''
Line 376: Line 380:
|-
|-
| 35
| 35
| 403.846
| 403.8
| [[63/50]], [[24/19]]
| [[24/19]], [[63/50]]
| [[19/15]]
| [[19/15]]
|
|
|-
|-
| 36
| 36
| 415.385
| 415.4
| [[81/64]], [[14/11]]
| [[14/11]]
|
|
| ''[[19/15]]''
| ''[[19/15]]''
|-
|-
| 37
| 37
| 426.923
| 426.9
| [[32/25]]
| [[32/25]]
|
|
Line 394: Line 398:
|-
|-
| 38
| 38
| 438.462
| 438.5
| [[9/7]]
| [[9/7]]
|
|
Line 400: Line 404:
|-
|-
| 39
| 39
| 450.000
| 450.0
| [[22/17]]
| [[22/17]]
| [[13/10]]
| [[13/10]]
Line 406: Line 410:
|-
|-
| 40
| 40
| 461.538
| 461.5
| [[17/13]]
| [[17/13]]
|
|
Line 412: Line 416:
|-
|-
| 41
| 41
| 473.077
| 473.1
| [[21/16]]
| [[21/16]]
|
|
Line 418: Line 422:
|-
|-
| 42
| 42
| 484.615
| 484.6
|
|
|
|
Line 424: Line 428:
|-
|-
| 43
| 43
| 496.154
| 496.2
| [[4/3]]
| [[4/3]]
|
|
Line 430: Line 434:
|-
|-
| 44
| 44
| 507.692
| 507.7
|
|
|
|
Line 436: Line 440:
|-
|-
| 45
| 45
| 519.231
| 519.2
|
|
| [[27/20]]
| [[27/20]]
Line 442: Line 446:
|-
|-
| 46
| 46
| 530.769
| 530.8
| [[19/14]]
| [[19/14]]
|
|
Line 448: Line 452:
|-
|-
| 47
| 47
| 542.308
| 542.3
| [[26/19]]
| [[26/19]]
| [[15/11]]
| [[15/11]]
Line 454: Line 458:
|-
|-
| 48
| 48
| 553.846
| 553.8
| [[11/8]]
| [[11/8]]
|
|
Line 460: Line 464:
|-
|-
| 49
| 49
| 565.385
| 565.4
| [[18/13]]
| [[18/13]]
|
|
Line 466: Line 470:
|-
|-
| 50
| 50
| 576.923
| 576.9
|
|
| [[7/5]]
| [[7/5]]
Line 472: Line 476:
|-
|-
| 51
| 51
| 588.462
| 588.5
|
|
|
|
| [[45/32]], ''[[7/5]]''
| ''[[7/5]]'', [[45/32]]
|-
|-
| 52
| 52
| 600.000
| 600.0
| [[17/12]], [[24/17]]
| [[17/12]], [[24/17]]
| ''[[45/32]]'', ''[[64/45]]''
| ''[[45/32]]'', ''[[64/45]]''

Latest revision as of 23:01, 11 May 2026

← 103edo 104edo 105edo →
Prime factorization 23 × 13
Step size 11.5385 ¢ 
Fifth 61\104 (703.846 ¢)
Semitones (A1:m2) 11:7 (126.9 ¢ : 80.77 ¢)
Consistency limit 3
Distinct consistency limit 3

104 equal divisions of the octave (abbreviated 104edo or 104ed2), also called 104-tone equal temperament (104tet) or 104 equal temperament (104et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 104 equal parts of about 11.5 ¢ each. Each step represents a frequency ratio of 21/104, or the 104th root of 2.

Theory

104edo is a strong no-fives system, with good approximations up to the no-5 19-limit. In the 2.3.7.11.13-subgroup, it tempers out 352/351, 364/363, 896/891, 2197/2187, 10648/10647, 16807/16731, 20449/20412, 21632/21609, and 26411/26364. It is an excellent tuning for the 2.3.7.11.13-subgroup rank-3 parapyth temperament tempering out 352/351, 364/363, and 896/891, which maps 14/11 to the diatonic major third and 13/11 to the diatonic minor third, in fact providing the optimal patent val. Additionally, it supports the extension to prime 17 known as etypyth, which maps 17/14 to the augmented second, though 121edo is a more optimal tuning of it. It also provides the optimal patent val for the 2.3.7.11.13-subgroup 17 & 87 temperament tempering out 352/351, 364/363 and 2197/2187, which splits 3/1 into three ~13/9's, and can be considered a rank-2 reduction of parapyth.

Notably, 104edo inherits 26edo's accurate representation of the 2.7.11-subgroup, and thus supports orgone temperament in that subgroup.

If prime 5 is desired, 104edo has two different equally viable 5-limit vals, and both are useful. The flat major third val, ⟨104 165 241] (patent val), tempers out 3125/3072, and supports magic temperament. The sharp major third val, ⟨104 165 242] (104c val), tempers out 2048/2025 and supports diaschismic temperament. Additionally, it is viable to treat 104edo as dual-5, or as a 2.3.25.7.11.13.17.19 subgroup temperament.

104edo with the flat third is especially notable as an excellent tuning for magic temperament, providing the optimal patent val for 11-limit magic and the 13-limit magic extension necromancy. In the 5-limit it tempers out the magic comma, 3125/3072; in the 7-limit, it tempers out 225/224, 245/243 and 875/864; and in the 11-limit, 100/99, 896/891, 385/384 and 540/539. It also provides an excellent tuning for the rank-3 temperament pairing 100/99 with 225/224 (apollo temperament), 245/243 or 875/864, and the rank-4 temperament tempering out 100/99, for which it gives the optimal patent val.

104edo with the sharp third is excellent for 11-, 13-, or 17-limit diaschismic. It tempers out 2048/2025 in the 5-limit, 126/125 and 5120/5103 in the 7-limit, 176/175 and 896/891 in the 11-limit, 196/195, 352/351 and 364/363 in the 13-limit, and 136/135 and 256/255 in the 17-limit.

Prime harmonics

Approximation of prime harmonics in 104edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.89 -5.54 +0.40 +2.53 +1.78 -1.11 +2.49 -5.20 -2.65 -2.73
Relative (%) +0.0 +16.4 -48.1 +3.5 +21.9 +15.4 -9.6 +21.6 -45.0 -23.0 -23.6
Steps
(reduced) 		104
(0) 		165
(61) 		241
(33) 		292
(84) 		360
(48) 		385
(73) 		425
(9) 		442
(26) 		470
(54) 		505
(89) 		515
(99)

Octave stretch

104edo's approximations of harmonics 3, 7, 11, and 13 can all be improved if slightly compressing the octave is acceptable, using tunings such as 269ed6, which is also suitable for the full 13-limit and beyond, using the 104c val. A greater focus on prime 5 could lead to more heavily compressed tunings such as 165edt.

Subsets and supersets

Since 104 factors into primes as 23 × 13, 104edo has subset edos 2, 4, 8, 13, 26, and 52.

Regular temperament properties

Subgroup Comma list Mapping Optimal
8ve stretch (¢) 		Tuning error
Absolute (¢) Relative (%)
2.3 [165 -104⟩ [⟨104 165]] −0.597 0.596 5.17
2.3.5 2048/2025, [0 22 -15⟩ [⟨104 165 242]] (104c) −1.258 1.054 9.14
2.3.5.7 126/125, 2048/2025, 117649/116640 [⟨104 165 242 292]] (104c) −0.980 1.032 8.95
2.3.5.7.11 126/125, 176/175, 896/891, 14641/14580 [⟨104 165 242 292 360]] (104c) −0.930 0.929 8.05
2.3.5.7.11.13 126/125, 176/175, 196/195, 364/363, 2197/2187 [⟨104 165 242 292 360 385]] (104c) −0.855 0.864 7.49

Rank-2 temperaments

Patent val
Periods
per 8ve 		Generator* Cents* Associated
ratio* 		Temperament
1 33\104 380.77 5/4 Magic / necromancy / divination
1 51\104 588.46 7/5 Untriton
4 9\104 103.85 18/17 Undim
104c val
Periods
per 8ve 		Generator* Cents* Associated
ratio* 		Temperament
1 11\104 126.92 27/25 Mowgli
1 21\104 242.31 147/128 Septiquarter
1 27\104 311.54 6/5 Oolong
1 47\104 542.31 15/11 Casablanca / marrakesh
2 21\104 242.31 121/105 Semiseptiquarter
2 43\104
(9\104) 		496.15
(103.85) 		4/3
(17/16) 		Diaschismic
8 49\104
(2\104) 		565.38
(34.62) 		168/121
(55/54) 		Octowerck / octowerckis
26 43\104
(1\104) 		496.15
(11.54) 		4/3
(225/224) 		Bosonic

* Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct

Intervals

# Cents Approximate ratios
Of 2.3.25.7.11.13.17.19
subgroup 		Additional ratios of 5
tending sharp (104c val) 		Additional ratios of 5
tending flat (patent val)
0 0.0 1/1
1 11.5 144/143, 169/168 91/90, 121/120 105/104, 196/195
2 23.1 64/63, 99/98 81/80, 100/99, 105/104 50/49, 55/54, 91/90, 121/120
3 34.6 49/48, 50/49 55/54 40/39, 45/44, 81/80, 126/125
4 46.2 36/35, 40/39, 45/44, 50/49
5 57.7 28/27, 33/32 26/25 25/24, 36/35
6 69.2 25/24, 26/25, 27/26
7 80.8 22/21 21/20, 25/24 20/19, 26/25
8 92.3 19/18 20/19 21/20
9 103.8 17/16, 18/17 16/15
10 115.4 16/15, 15/14
11 126.9 14/13 15/14
12 138.5 13/12
13 150.0 12/11
14 161.5 11/10
15 173.1 21/19 10/9, 11/10
16 184.6 10/9
17 196.2 19/17, 28/25
18 207.7 9/8 17/15
19 219.2 25/22 17/15
20 230.8 8/7
21 242.3 38/33 15/13
22 253.8 22/19 15/13
23 265.4 7/6
24 276.9 75/64 20/17
25 288.5 13/11, 32/27 20/17
26 300.0 19/16, 25/21
27 311.5 6/5
28 323.1 6/5, 40/33
29 334.6 17/14 40/33
30 346.2 11/9, 39/32
31 357.7 16/13, 27/22
32 369.2 21/17, 26/21
33 380.8 5/4
34 392.3 5/4
35 403.8 24/19, 63/50 19/15
36 415.4 14/11 19/15
37 426.9 32/25
38 438.5 9/7
39 450.0 22/17 13/10
40 461.5 17/13 13/10
41 473.1 21/16
42 484.6
43 496.2 4/3
44 507.7
45 519.2 27/20
46 530.8 19/14 27/20, 15/11
47 542.3 26/19 15/11
48 553.8 11/8
49 565.4 18/13
50 576.9 7/5
51 588.5 7/5, 45/32
52 600.0 17/12, 24/17 45/32, 64/45
… … … … …
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