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What is 15/13 doing in the wrong place on the error table?
General cleanup. Really confusing when there were two sections of intervals.
Line 11: Line 11:
The seventh partial ([[7/4]]) is "represented" by an interval which is sharp by over 31 cents, and stands out distinctly from the rest of the chord in a tetrad. Such tetrads are often used as dominant seventh chords in functional harmony, for which the 5-limit JI version would be 1/1 - 5/4 - 3/2 - 16/9, and while 12et officially supports septimal meantone via the [[val]] {{val|12 19 28 34}}, its credentials in the 7-limit department are distinctly cheesy. It cannot be said to represent 11 or 13 at all, though it does a quite credible 17 and an even better 19. Nevertheless its relative tuning accuracy is quite high, and 12edo is the fourth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].
The seventh partial ([[7/4]]) is "represented" by an interval which is sharp by over 31 cents, and stands out distinctly from the rest of the chord in a tetrad. Such tetrads are often used as dominant seventh chords in functional harmony, for which the 5-limit JI version would be 1/1 - 5/4 - 3/2 - 16/9, and while 12et officially supports septimal meantone via the [[val]] {{val|12 19 28 34}}, its credentials in the 7-limit department are distinctly cheesy. It cannot be said to represent 11 or 13 at all, though it does a quite credible 17 and an even better 19. Nevertheless its relative tuning accuracy is quite high, and 12edo is the fourth [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]].


In terms of the kernel, which is to say the commas it tempers out, it tempers out the Pythagorean comma, 3^12/2^19, the Didymus comma, [[81/80]], the diesis, [[128/125]], the diaschisma, [[2048/2025]], the Archytas comma, [[64/63]], the septimal quartertone, [[36/35]], the jubilisma, [[50/49]], the septimal semicomma, [[126/125]], and the septimal kleisma, [[225/224]]. Each of these affects the structure of 12et in specific ways, and tuning systems which share the comma in question will be similar to 12et in precisely those ways.
In terms of the kernel, which is to say the commas it tempers out, it tempers out the Pythagorean comma, 3<sup>12</sup>/2<sup>19</sup>, the Didymus comma, [[81/80]], the diesis, [[128/125]], the diaschisma, [[2048/2025]], the Archytas comma, [[64/63]], the septimal quartertone, [[36/35]], the jubilisma, [[50/49]], the septimal semicomma, [[126/125]], and the septimal kleisma, [[225/224]]. Each of these affects the structure of 12et in specific ways, and tuning systems which share the comma in question will be similar to 12et in precisely those ways.


== Intervals ==
== Intervals ==
Line 20: Line 20:
!Approximate JI Ratios*
!Approximate JI Ratios*
|-
|-
|0
| 0
|0
| 0
|unison
| unison
|P1
| P1
|D
| D
|1/1
| 1/1
|-
|-
|1
| 1
|100
| 100
|aug 1sn, minor 2nd
| aug 1sn, minor 2nd
|A1, m2
| A1, m2
|D#, Eb
| D#, Eb
|15/14, 16/15, 17/16, 18/17, 21/20, 25/24, 28/27
| 15/14, 16/15, 17/16, 18/17, 21/20, 25/24, 28/27
|-
|-
|2
| 2
|200
| 200
|major 2nd
| major 2nd
|M2
| M2
|E
| E
|8/7, 9/8, 10/9, 17/15, 19/17
| 8/7, 9/8, 10/9, 17/15, 19/17
|-
|-
|3
| 3
|300
| 300
|minor 3rd
| minor 3rd
|m3
| m3
|F
| F
|7/6, 6/5, 19/16
| 7/6, 6/5, 19/16
|-
|-
|4
| 4
|400
| 400
|major 3rd
| major 3rd
|M3
| M3
|F#
| F#
|5/4, 9/7
| 5/4, 9/7
|-
|-
|5
| 5
|500
| 500
|perfect 4th
| perfect 4th
|P4
| P4
|G
| G
|4/3
| 4/3
|-
|-
|6
| 6
|600
| 600
|aug 4th, dim 5th
| aug 4th, dim 5th
|A4, d5
| A4, d5
|G#, Ab
| G#, Ab
|7/5, 10/7, 17/12, 24/17
| 7/5, 10/7, 17/12, 24/17
|-
|-
|7
| 7
|700
| 700
|perfect 5th
| perfect 5th
|P5
| P5
|A
| A
|3/2
| 3/2
|-
|-
|8
| 8
|800
| 800
|minor 6th
| minor 6th
|m6
| m6
|Bb
| Bb
|8/5, 14/9
| 8/5, 14/9
|-
|-
|9
| 9
|900
| 900
|major 6th
| major 6th
|M6
| M6
|B
| B
|5/3, 12/7, 32/19
| 5/3, 12/7, 32/19
|-
|-
|10
| 10
|1000
| 1000
|minor 7th
| minor 7th
|m7
| m7
|C
| C
|7/4, 9/5, 16/9
| 7/4, 9/5, 16/9
|-
|-
|11
| 11
|1100
| 1100
|major 7th
| major 7th
|M7
| M7
|C#
| C#
|15/8, 17/9, 28/15, 40/21, 48/25, 27/14
| 15/8, 17/9, 28/15, 40/21, 48/25, 27/14
|-
|-
|19
| 19
|1200
| 1200
|perfect 8ve
| perfect 8ve
|P8
| P8
|D
| D
|2/1
| 2/1
|}
|}
<nowiki>*</nowiki> based on treating 12-edo as a 2.3.5.7.17.19 subgroup temperament; other approaches are possible.
<nowiki>*</nowiki> based on treating 12-edo as a 2.3.5.7.17.19 subgroup temperament; other approaches are possible.
=== Selected just intervals by error ===
{| class="wikitable" style="text-align:center;"
!
! prime 2
! prime 3
! prime 5
! prime 7
! prime 11
! prime 13
|-
! Error (¢)
| 0
| -1.96
| +13.7
| +31.2
| +48.7
| -40.5
|-
! [[Fifthspan]]
| 0
| +1
| +4
| -2
| +6
| -4
|}
==== 15-odd-limit interval mappings ====
The following table shows how [[15-odd-limit intervals]] are represented in 12edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''.
{| class="wikitable center-all"
|-
! Interval, complement
! Error (abs, [[cent|¢]])
|-
| '''[[4/3]], [[3/2]]'''
| '''1.955'''
|-
| [[9/8]], [[16/9]]
| 3.910
|-
| ''[[13/11]], [[22/13]]''
| ''10.790''
|-
| [[16/15]], [[15/8]]
| 11.731
|-
| '''[[5/4]], [[8/5]]'''
| '''13.686'''
|-
| [[6/5]], [[5/3]]
| 15.641
|-
| [[7/5]], [[10/7]]
| 17.488
|-
| [[14/11]], [[11/7]]
| 17.508
|-
| [[10/9]], [[9/5]]
| 17.596
|-
| [[15/14]], [[28/15]]
| 19.443
|-
| ''[[14/13]], [[13/7]]''
| ''28.298''
|-
| '''[[8/7]], [[7/4]]'''
| '''31.174'''
|-
| [[7/6]], [[12/7]]
| 33.129
|-
| [[11/10]], [[20/11]]
| 34.996
|-
| [[9/7]], [[14/9]]
| 35.084
|-
| [[18/13]], [[13/9]]
| 36.618
|-
| [[15/11]], [[22/15]]
| 36.951
|-
| [[13/12]], [[24/13]]
| 38.573
|-
| '''[[16/13]], [[13/8]]'''
| '''40.528'''
|-
| ''[[13/10]], [[20/13]]''
| ''45.786''
|-
| ''[[11/9]], [[18/11]]''
| ''47.408''
|-
| ''[[15/13]], [[26/15]]''
| ''47.741 ''
|-
| '''[[11/8]], [[16/11]]'''
| '''48.682'''
|-
| ''[[12/11]], [[11/6]]''
| ''49.323''
|}
==== Selected 19-limit intervals ====
[[File:12ed2-11-001.svg|alt=alt : Your browser has no SVG support.]]
An expanded version of the above, including some higher-limit intervals:
[[File:12ed2-19-001e.svg|alt=alt : Your browser has no SVG support.]]


== Rank two temperaments ==
== Rank two temperaments ==
Line 126: Line 243:
| 1
| 1
| 1\12
| 1\12
| [[Ripple|Ripple]]
| [[Ripple]]
|-
|-
| 1
| 1
| 5\12
| 5\12
| [[Meantone|Meantone]]/[[dominant|dominant]]
| [[Meantone]]/[[dominant]]
|-
|-
| 2
| 2
| 1\12
| 1\12
| [[Srutal|Srutal]]/[[pajara|pajara]]/[[Injera|injera]]
| [[Srutal]]/[[pajara]]/[[injera]]
|-
|-
| 3
| 3
| 1\12
| 1\12
| [[augmented|Augmented]]
| [[Augmented]]
|-
|-
| 4
| 4
| 1\12
| 1\12
| [[Diminished|Diminished]]
| [[Diminished]]
|-
|-
| 6
| 6
| 1\12
| 1\12
| [[Hexe|Hexe]]
| [[Hexe]]
|}
|}
== Scales ==
''Main article: [[MOS in 12edo]]''


== Commas ==
== Commas ==
12 EDO [[tempering_out|tempers out]] the following [[Comma|comma]]s. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)
12 EDO [[tempering_out|tempers out]] the following [[Comma|commas]]. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)


{| class="wikitable"
{| class="wikitable center-all left-2 right-3"
|-
|-
! Rational
! Rational
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! Name 3
! Name 3
|-
|-
| style="text-align:center;" | [[648/625]]
| [[648/625]]
| {{Monzo| 3 4 -4 }}
| {{Monzo| 3 4 -4 }}
| style="text-align:right;" | 62.57
| 62.57
| style="text-align:center;" |Quadgu
| Quadgu
| style="text-align:center;" | Major Diesis
| Major diesis
| style="text-align:center;" | Diminished Comma
| Diminished comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[36/35]]
| [[36/35]]
| {{Monzo| 2 2 -1 -1 }}
| {{Monzo| 2 2 -1 -1 }}
| style="text-align:right;" | 48.77
| 48.77
| style="text-align:center;" |Rugu
| Rugu
| style="text-align:center;" | Septimal Quarter Tone
| Septimal quartertone
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[128/125]]
| [[128/125]]
| {{Monzo| 7 0 -3 }}
| {{Monzo| 7 0 -3 }}
| style="text-align:right;" | 41.06
| 41.06
| style="text-align:center;" |Trigu
| Trigu
| style="text-align:center;" | Diesis
| Diesis
| style="text-align:center;" | Augmented Comma
| Augmented comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[50/49]]
| [[50/49]]
| {{Monzo| 1 0 2 -2 }}
| {{Monzo| 1 0 2 -2 }}
| style="text-align:right;" | 34.98
| 34.98
| style="text-align:center;" |Biruyo
| Biruyo
| style="text-align:center;" | Tritonic Diesis
| Tritonic diesis
| style="text-align:center;" | Jubilisma
| Jubilisma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[64/63]]
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
| style="text-align:right;" | 27.26
| 27.26
| style="text-align:center;" |Ru
| Ru
| style="text-align:center;" | Septimal Comma
| Septimal comma
| style="text-align:center;" | Archytas' Comma
| Archytas' comma
| style="text-align:center;" | Leipziger Komma
| Leipziger Komma
|-
|-
| style="text-align:center;" | [[531441/524288]]
| [[531441/524288]]
| {{Monzo| -19 12 }}
| {{Monzo| -19 12 }}
| style="text-align:right;" | 23.46
| 23.46
| style="text-align:center;" |Lalawa
| Lalawa
| style="text-align:center;" | Pythagorean Comma
| Pythagorean comma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[81/80]]
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| style="text-align:right;" | 21.51
| 21.51
| style="text-align:center;" |Gu
| Gu
| style="text-align:center;" | Syntonic Comma
| Syntonic comma
| style="text-align:center;" | Didymos Comma
| Didymos comma
| style="text-align:center;" | Meantone Comma
| Meantone comma
|-
|-
| style="text-align:center;" | 3125/3087
| 3125/3087
| {{Monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
| style="text-align:right;" | 21.18
| 21.18
| style="text-align:center;" |Triru-aquinyo
| Triru-aquinyo
| style="text-align:center;" | Gariboh
| Gariboh
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 2048/2025
| 2048/2025
| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
| style="text-align:right;" | 19.55
| 19.55
| style="text-align:center;" |Sagugu
| Sagugu
| style="text-align:center;" | Diaschisma
| Diaschisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 91/90
| 91/90
| {{Monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
| style="text-align:right;" | 19.13
| 19.13
| style="text-align:center;" |Thozogu
| Thozogu
| style="text-align:center;" | Superleap
| Superleap
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 5201701/5149091
| 5201701/5149091
| {{Monzo| 26 -12 -3 }}
| {{Monzo| 26 -12 -3 }}
| style="text-align:right;" | 17.60
| 17.60
| style="text-align:center;" |Sasa-trigu
| Sasa-trigu
| style="text-align:center;" | Misty Comma
| Misty comma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[99/98]]
| [[99/98]]
| {{Monzo| -1 2 0 -2 1 }}
| {{Monzo| -1 2 0 -2 1 }}
| style="text-align:right;" | 17.58
| 17.58
| style="text-align:center;" |Loruru
| Loruru
| style="text-align:center;" | Mothwellsma
| Mothwellsma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[100/99]]
| [[100/99]]
| {{Monzo| 2 -2 2 0 -1 }}
| {{Monzo| 2 -2 2 0 -1 }}
| style="text-align:right;" | 17.40
| 17.40
| style="text-align:center;" |Luyoyo
| Luyoyo
| style="text-align:center;" | Ptolemisma
| Ptolemisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[126/125]]
| [[126/125]]
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| style="text-align:right;" | 13.79
| 13.79
| style="text-align:center;" |Zotrigu
| Zotrigu
| style="text-align:center;" | Septimal Semicomma
| Septimal semicomma
| style="text-align:center;" | Starling Comma
| Starling comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 4000/3969
| 4000/3969
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| style="text-align:right;" | 13.47
| 13.47
| style="text-align:center;" |Rurutriyo
| Rurutriyo
| style="text-align:center;" | Octagar
| Octagar
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 176/175
| 176/175
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
| style="text-align:right;" | 9.86
| 9.86
| style="text-align:center;" |Lorugugu
| Lorugugu
| style="text-align:center;" | Valinorsma
| Valinorsma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 896/891
| 896/891
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
| style="text-align:right;" | 9.69
| 9.69
| style="text-align:center;" |Saluzo
| Saluzo
| style="text-align:center;" | Pentacircle
| Pentacircle
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 321489/320000
| 321489/320000
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| style="text-align:right;" | 8.04
| 8.04
| style="text-align:center;" |Labizogugu
| Labizogugu
| style="text-align:center;" | Varunisma
| Varunisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[225/224]]
| [[225/224]]
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| style="text-align:right;" | 7.71
| 7.71
| style="text-align:center;" |Ruyoyo
| Ruyoyo
| style="text-align:center;" | Septimal Kleisma
| Septimal kleisma
| style="text-align:center;" | Marvel Comma
| Marvel comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 3136/3125
| 3136/3125
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| style="text-align:right;" | 6.08
| 6.08
| style="text-align:center;" |Zozoquingu
| Zozoquingu
| style="text-align:center;" | Hemimean
| Hemimean
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 5120/5103
| 5120/5103
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
| style="text-align:right;" | 5.76
| 5.76
| style="text-align:center;" |Saruyo
| Saruyo
| style="text-align:center;" | Hemifamity
| Hemifamity
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 441/440
| 441/440
| {{Monzo| -3 2 -1 2 -1 }}
| {{Monzo| -3 2 -1 2 -1 }}
| style="text-align:right;" | 3.93
| 3.93
| style="text-align:center;" |Luzozogu
| Luzozogu
| style="text-align:center;" | Werckisma
| Werckisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 33554432/33480783
| 33554432/33480783
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
| style="text-align:right;" | 3.80
| 3.80
| style="text-align:center;" |Sasaru
| Sasaru
| style="text-align:center;" | Garischisma
| Garischisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | [[32805/32768|32805/32768]]
| [[32805/32768|32805/32768]]
| {{Monzo| -15 8 1 }}
| {{Monzo| -15 8 1 }}
| style="text-align:right;" | 1.95
| 1.95
| style="text-align:center;" |Layo
| Layo
| style="text-align:center;" | Schisma
| Schisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 703125/702464
| 703125/702464
| {{Monzo| -11 2 7 -3 }}
| {{Monzo| -11 2 7 -3 }}
| style="text-align:right;" | 1.63
| 1.63
| style="text-align:center;" |Latriru-asepyo
| Latriru-asepyo
| style="text-align:center;" | Meter
| Meter
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 250047/250000
| 250047/250000
| {{Monzo| -4 6 -6 3 }}
| {{Monzo| -4 6 -6 3 }}
| style="text-align:right;" | 0.33
| 0.33
| style="text-align:center;" |Trizogugu
| Trizogugu
| style="text-align:center;" | Landscape Comma
| Landscape comma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 9801/9800
| 9801/9800
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| style="text-align:right;" | 0.18
| 0.18
| style="text-align:center;" |Bilorugu
| Bilorugu
| style="text-align:center;" | Kalisma
| Kalisma
| style="text-align:center;" | Gauss' Comma
| Gauss' comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" |  
|  
| {{Monzo| 161 -84 -12 }}
| {{Monzo| 161 -84 -12 }}
| style="text-align:right;" | 0.02
| 0.02
| style="text-align:center;" |Sepbisa-quadtrigu
| Sepbisa-quadtrigu
| style="text-align:center;" | Atom
| Atom
| style="text-align:center;" |
|  
| style="text-align:center;" |
|  
|}
 
== Scales ==
* [[MOS in 12edo]]
 
== Intervals ==
 
[[File:12ed2-11-001.svg|alt=alt : Your browser has no SVG support.]]
 
[[:File:12ed2-11-001.svg|12ed2-11-001.svg]]
 
An expanded version of the above, including some higher-limit intervals:
 
[[File:12ed2-19-001e.svg|alt=alt : Your browser has no SVG support.]]
 
[[:File:12ed2-19-001e.svg|12ed2-19-001e.svg]]
 
=== Selected just intervals by error ===
{| class="wikitable" style="text-align:center;"
!
!prime 2
!prime 3
!prime 5
!prime 7
!prime 11
!prime 13
|-
!error
|0¢
| -1.96¢
| +13.7¢
| +31.2¢
| +48.7¢
| -40.5¢
|-
![[fifthspan]]
|0
| +1
| +4
| -2
| +6
| -4
|}
The following table shows how [[Just-24|some prominent just intervals]] are represented in 12edo (ordered by absolute error).
{| class="wikitable" style="text-align:center;"
|-
! Interval, complement
! Error (abs., in [[cent|cents]])
|-
| '''[[4/3]], [[3/2]]'''
| '''1.955'''
|-
| [[9/8]], [[16/9]]
| 3.910
|-
| [[13/11]], [[22/13]]
| 10.790
|-
| [[16/15]], [[15/8]]
| 11.731
|-
| '''[[5/4]], [[8/5]]'''
| '''13.686'''
|-
| [[6/5]], [[5/3]]
| 15.641
|-
| [[7/5]], [[10/7]]
| 17.488
|-
| [[14/11]], [[11/7]]
| 17.508
|-
| [[10/9]], [[9/5]]
| 17.596
|-
| [[15/14]], [[28/15]]
| 19.443
|-
| [[14/13]], [[13/7]]
| 28.298
|-
| '''[[8/7]], [[7/4]]'''
| '''31.174'''
|-
| [[7/6]], [[12/7]]
| 33.129
|-
| [[11/10]], [[20/11]]
| 34.996
|-
| [[9/7]], [[14/9]]
| 35.084
|-
| [[18/13]], [[13/9]]
| 36.618
|-
| [[15/11]], [[22/15]]
| 36.951
|-
| [[13/12]], [[24/13]]
| 38.573
|-
| '''[[16/13]], [[13/8]]'''
| '''40.528'''
|-
| [[13/10]], [[20/13]]
| 45.786
|-
| [[11/9]], [[18/11]]
| 47.408
|-
| [[15/13]], [[26/15]]
| 47.741
|-
| '''[[11/8]], [[16/11]]'''
| '''48.682'''
|-
| [[12/11]], [[11/6]]
| 49.323
|}
|}


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