With Assessment
Planetary Gearset: Teeth[ a]
Count
Total[ b] Center[ c]
Avg.[ d]
Model Type
Version First Delivery
S1 [ e] R1 [ f]
S2 [ g] R2 [ h]
S3 [ i] R3 [ j]
S4 [ k] R4 [ l]
Brakes Clutches
Ratio Span
Gear Step[ m]
Gear Ratio
R
i
R
{\displaystyle {i_{R}}}
1
i
1
{\displaystyle {i_{1}}}
2
i
2
{\displaystyle {i_{2}}}
3
i
3
{\displaystyle {i_{3}}}
4
i
4
{\displaystyle {i_{4}}}
5
i
5
{\displaystyle {i_{5}}}
6
i
6
{\displaystyle {i_{6}}}
7
i
7
{\displaystyle {i_{7}}}
8
i
8
{\displaystyle {i_{8}}}
Step[ m]
− − -->
i
R
i
1
{\displaystyle -{\tfrac {i_{R}}{i_{1}}}}
[ n]
i
1
i
1
{\displaystyle {\tfrac {i_{1}}{i_{1}}}}
i
1
i
2
{\displaystyle {\tfrac {i_{1}}{i_{2}}}}
[ o]
i
2
i
3
{\displaystyle {\tfrac {i_{2}}{i_{3}}}}
i
3
i
4
{\displaystyle {\tfrac {i_{3}}{i_{4}}}}
i
4
i
5
{\displaystyle {\tfrac {i_{4}}{i_{5}}}}
i
5
i
6
{\displaystyle {\tfrac {i_{5}}{i_{6}}}}
i
6
i
7
{\displaystyle {\tfrac {i_{6}}{i_{7}}}}
i
7
i
8
{\displaystyle {\tfrac {i_{7}}{i_{8}}}}
Δ Step[ p] [ q]
i
1
i
2
:
i
2
i
3
{\displaystyle {\tfrac {i_{1}}{i_{2}}}:{\tfrac {i_{2}}{i_{3}}}}
i
2
i
3
:
i
3
i
4
{\displaystyle {\tfrac {i_{2}}{i_{3}}}:{\tfrac {i_{3}}{i_{4}}}}
i
3
i
4
:
i
4
i
5
{\displaystyle {\tfrac {i_{3}}{i_{4}}}:{\tfrac {i_{4}}{i_{5}}}}
i
4
i
5
:
i
5
i
6
{\displaystyle {\tfrac {i_{4}}{i_{5}}}:{\tfrac {i_{5}}{i_{6}}}}
i
5
i
6
:
i
6
i
7
{\displaystyle {\tfrac {i_{5}}{i_{6}}}:{\tfrac {i_{6}}{i_{7}}}}
i
6
i
7
:
i
7
i
8
{\displaystyle {\tfrac {i_{6}}{i_{7}}}:{\tfrac {i_{7}}{i_{8}}}}
Shaft Speed
i
1
i
R
{\displaystyle {\tfrac {i_{1}}{i_{R}}}}
i
1
i
1
{\displaystyle {\tfrac {i_{1}}{i_{1}}}}
i
1
i
2
{\displaystyle {\tfrac {i_{1}}{i_{2}}}}
i
1
i
3
{\displaystyle {\tfrac {i_{1}}{i_{3}}}}
i
1
i
4
{\displaystyle {\tfrac {i_{1}}{i_{4}}}}
i
1
i
5
{\displaystyle {\tfrac {i_{1}}{i_{5}}}}
i
1
i
6
{\displaystyle {\tfrac {i_{1}}{i_{6}}}}
i
1
i
7
{\displaystyle {\tfrac {i_{1}}{i_{7}}}}
i
1
i
8
{\displaystyle {\tfrac {i_{1}}{i_{8}}}}
Δ Shaft Speed[ r]
0
− − -->
i
1
i
R
{\displaystyle 0-{\tfrac {i_{1}}{i_{R}}}}
i
1
i
1
− − -->
0
{\displaystyle {\tfrac {i_{1}}{i_{1}}}-0}
i
1
i
2
− − -->
i
1
i
1
{\displaystyle {\tfrac {i_{1}}{i_{2}}}-{\tfrac {i_{1}}{i_{1}}}}
i
1
i
3
− − -->
i
1
i
2
{\displaystyle {\tfrac {i_{1}}{i_{3}}}-{\tfrac {i_{1}}{i_{2}}}}
i
1
i
4
− − -->
i
1
i
3
{\displaystyle {\tfrac {i_{1}}{i_{4}}}-{\tfrac {i_{1}}{i_{3}}}}
i
1
i
5
− − -->
i
1
i
4
{\displaystyle {\tfrac {i_{1}}{i_{5}}}-{\tfrac {i_{1}}{i_{4}}}}
i
1
i
6
− − -->
i
1
i
5
{\displaystyle {\tfrac {i_{1}}{i_{6}}}-{\tfrac {i_{1}}{i_{5}}}}
i
1
i
7
− − -->
i
1
i
6
{\displaystyle {\tfrac {i_{1}}{i_{7}}}-{\tfrac {i_{1}}{i_{6}}}}
i
1
i
8
− − -->
i
1
i
7
{\displaystyle {\tfrac {i_{1}}{i_{8}}}-{\tfrac {i_{1}}{i_{7}}}}
8HP 70[ s]
700 N⋅m (516 lb⋅ft ) 2008
48[ 11] 96
48[ 11] 96
69[ 12] 111
23[ 12] 85
2 3
7.0435 1.7693
1.3216 [ m]
Gear Ratio
−3.2968 [ n]
− − -->
1
,
744
529
{\displaystyle -{\tfrac {1,744}{529}}}
4.6957
108
23
{\displaystyle {\tfrac {108}{23}}}
3.1304[ q]
72
23
{\displaystyle {\tfrac {72}{23}}}
2.1039
162
77
{\displaystyle {\tfrac {162}{77}}}
1.6667 [ m] [ q] [ r]
5
3
{\displaystyle {\tfrac {5}{3}}}
1.2845[ q]
8
,
826
6
,
871
{\displaystyle {\tfrac {8,826}{6,871}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8392 [ q] [ r]
120
143
{\displaystyle {\tfrac {120}{143}}}
0.6667
2
3
{\displaystyle {\tfrac {2}{3}}}
Step
0.7021 [ n]
1.0000
1.5000
1.4879
1.2623 [ m]
1.2975
1.2845
1.1917
1.2587
Δ Step[ p]
1.0081 [ q]
1.1787
0.9729 [ q]
1.0101 [ q]
1.0779
0.9467 [ q]
Speed
-1.4243
1.0000
1.5000
2.2319
2.8174
3.6555
4.6957
5.5957
7.0435
Δ Speed
1.4243
1.0000
0.5000
0.7319
0.5855 [ r]
0.8382
1.0401
0.9000 [ r]
1.4478
2010: 1st Generation
8HP 30/I 8HP 45
300 N⋅m (221 lb⋅ft ) 450 N⋅m (332 lb⋅ft )
48 96
48 96
60 96
28 104
2 3
7.0714 1.7728
1.3224 [ m]
Gear Ratio
−3.2952 [ n]
− − -->
346
105
{\displaystyle -{\tfrac {346}{105}}}
4.7143
33
7
{\displaystyle {\tfrac {33}{7}}}
3.1429[ q]
22
7
{\displaystyle {\tfrac {22}{7}}}
2.1064
99
47
{\displaystyle {\tfrac {99}{47}}}
1.6667 [ m] [ q] [ r]
5
3
{\displaystyle {\tfrac {5}{3}}}
1.2854[ q]
1
,
171
911
{\displaystyle {\tfrac {1,171}{911}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8387 [ q] [ r]
26
31
{\displaystyle {\tfrac {26}{31}}}
0.6667
2
3
{\displaystyle {\tfrac {2}{3}}}
Step
0.6990 [ n]
1.0000
1.5000
1.4921
1.2638 [ m]
1.2966
1.2854
1.1923
1.2581
Δ Step[ p]
1.0053 [ q]
1.1805
0.9747 [ q]
1.0087 [ q]
1.0781
0.9477 [ q]
Speed
-1.4306
1.0000
1.5000
2.2381
2.8286
3.6576
4.7143
5.6209
7.0714
Δ Speed
1.4306
1.0000
0.5000
0.7381
0.5905 [ r]
0.8390
1.0467
0.9066 [ r]
1.45058
8HP 55 8HP 65 8HP 70 8HP 90
650 N⋅m (479 lb⋅ft ) 650 N⋅m (479 lb⋅ft ) 700 N⋅m (516 lb⋅ft ) 900 N⋅m (664 lb⋅ft )
48[ 11] [ 13] 96
48[ 11] [ 13] 96
69 111
28 104
2 3
7.0714 1.7728
1.3224 [ m]
Gear Ratio
−3.3168 [ n]
− − -->
534
161
{\displaystyle -{\tfrac {534}{161}}}
4.7143
33
7
{\displaystyle {\tfrac {33}{7}}}
3.1429[ q]
22
7
{\displaystyle {\tfrac {22}{7}}}
2.1064
99
47
{\displaystyle {\tfrac {99}{47}}}
1.6667 [ m] [ q] [ r]
5
3
{\displaystyle {\tfrac {5}{3}}}
1.2847[ q]
5
,
397
4
,
201
{\displaystyle {\tfrac {5,397}{4,201}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8392 [ q] [ r]
120
143
{\displaystyle {\tfrac {120}{143}}}
0.6667
2
3
{\displaystyle {\tfrac {2}{3}}}
Step
0.7036 [ n]
1.0000
1.5000
1.4921
1.2638 [ m]
1.2973
1.2847
1.1917
1.2587
Δ Step[ p]
1.0053 [ q]
1.1806
0.9742 [ q]
1.0098 [ q]
1.0781
0.9467 [ q]
Speed
-1.4213
1.0000
1.5000
2.2381
2.8286
3.6696
4.7143
5.6179
7.0714
Δ Speed
1.4243
1.0000
0.5000
0.7381
0.5905 [ r]
0.8410
1.0447
0.9036 [ r]
1.4536
2014: 2nd Generation
8HP 75/I[ 14]
740 N⋅m (546 lb⋅ft )
48 96
48 96
69 111
28 104
2 3
7.0714 1.7728
1.3224 [ m]
Ratio
−3.3168 [ n]
4.7143
3.1429 [ q]
2.1064
1.6667 [ m] [ q] [ r]
1.2847 [ q]
1.0000
0.8392 [ q] [ r]
0.6667
8HP 30/II[ 14] 8HP 50[ 14]
300 N⋅m (221 lb⋅ft ) 500 N⋅m (369 lb⋅ft )
48 96
54 96
60 96
24 96
2 3
7.8125 1.7889
1.3413 [ m]
Gear Ratio
−3.4560 [ n]
− − -->
432
125
{\displaystyle -{\tfrac {432}{125}}}
5.0000
5
1
{\displaystyle {\tfrac {5}{1}}}
3.2000[ q]
16
5
{\displaystyle {\tfrac {16}{5}}}
2.1429
15
7
{\displaystyle {\tfrac {15}{7}}}
1.7200 [ m] [ q] [ r]
43
25
{\displaystyle {\tfrac {43}{25}}}
1.3139 [ q]
1
,
507
1
,
147
{\displaystyle {\tfrac {1,507}{1,147}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8221 [ q] [ r]
208
253
{\displaystyle {\tfrac {208}{253}}}
0.6400
16
25
{\displaystyle {\tfrac {16}{25}}}
Step
0.6912 [ n]
1.0000
1.5625
1.4933
1.2458 [ m]
1.3091
1.3139
1.2163
1.2846
Δ Step[ p]
1.0463 [ q]
1.1986
0.9517 [ q]
0.9964 [ q]
1.0802
0.9469 [ q]
Speed
-1.4468
1.0000
1.5625
2.3333
2.9070
3.8056
5.0000
6.0817
7.8125
Δ Speed
1.4468
1.0000
0.5625
0.7708
0.5736 [ r]
0.8986
1.1944
1.0817 [ r]
1.7308
8HP 75/II[ 14] 8HP 95[ t]
740 N⋅m (546 lb⋅ft ) 900 N⋅m (664 lb⋅ft )
48 96
54 96
69 111
24 96
2 3
7.8125 1.7889
1.3413 [ m]
Gear Ratio
−3.4783 [ n]
− − -->
80
23
{\displaystyle -{\tfrac {80}{23}}}
5.0000
5
1
{\displaystyle {\tfrac {5}{1}}}
3.2000[ q]
16
5
{\displaystyle {\tfrac {16}{5}}}
2.1429
15
7
{\displaystyle {\tfrac {15}{7}}}
1.7200 [ m] [ q] [ r]
43
25
{\displaystyle {\tfrac {43}{25}}}
1.3131 [ q]
2
,
315
1
,
763
{\displaystyle {\tfrac {2,315}{1,763}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8226 [ q] [ r]
320
389
{\displaystyle {\tfrac {320}{389}}}
0.6400
16
25
{\displaystyle {\tfrac {16}{25}}}
Step
0.6957 [ n]
1.0000
1.5625
1.4933
1.2458 [ m]
1.3099
1.3131
1.2156
1.2853
Δ Step[ p]
1.0463 [ q]
1.1986
0.9511 [ q]
0.9975 [ q]
1.0802
0.9458 [ q]
Speed
-1.4375
1.0000
1.5625
2.3333
2.9070
3.8078
5.0000
6.0781
7.8125
Δ Speed
1.4375
1.0000
0.5625
0.7708
0.5736 [ r]
0.9008
1.1922
1.0781 [ r]
1.7344
2018: 3rd Generation
8HP 76/I[ u]
760 N⋅m (561 lb⋅ft )
48 96
54 96
69 111
24 96
2 3
7.8125 1.7889
1.3413 [ m]
Ratio
−3.4783 [ n]
5.0000
3.2000 [ q]
2.1429
1.7200 [ m] [ q] [ r]
1.3131 [ q]
1.0000
0.8226 [ q] [ r]
0.6400
8HP 30/III[ v] 8HP 51[ w]
300 N⋅m (221 lb⋅ft ) 500 N⋅m (369 lb⋅ft )
48 96
54 96
60 96
24 102
2 3
8.2031 1.8330
1.3507 [ m]
Gear Ratio
−3.7120 [ n]
− − -->
464
125
{\displaystyle -{\tfrac {464}{125}}}
5.2500
21
4
{\displaystyle {\tfrac {21}{4}}}
3.3600[ q]
84
25
{\displaystyle {\tfrac {84}{25}}}
2.1724
63
29
{\displaystyle {\tfrac {63}{29}}}
1.7200 [ m] [ q] [ r]
43
25
{\displaystyle {\tfrac {43}{25}}}
1.3161 [ q]
6
,
371
4
,
841
{\displaystyle {\tfrac {6,371}{4,841}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8221 [ q] [ r]
208
253
{\displaystyle {\tfrac {208}{253}}}
0.6400
16
25
{\displaystyle {\tfrac {16}{25}}}
Step
0.7070 [ n]
1.0000
1.5625
1.5467
1.2630 [ m]
1.3069
1.3161
1.2163
1.2846
Δ Step[ p]
1.0102 [ q]
1.2246
0.9664 [ q]
0.9931 [ q]
1.0820
0.9469 [ q]
Speed
-1.4143
1.0000
1.5625
2.4167
3.0523
3.9892
5.2500
6.3858
8.2031
Δ Speed
1.4143
1.0000
0.5625
0.8542
0.6357 [ r]
0.9369
1.2608
1.1358 [ r]
1.8173
8HP 76/II[ x] 8HP 80[ y]
760 N⋅m (561 lb⋅ft ) 800 N⋅m (590 lb⋅ft )
48 96
54 96
69 111
24 108
2 3
8.5938 1.8762
1.3597 [ m]
Gear Ratio
−3.9930 [ n]
− − -->
2
,
296
575
{\displaystyle -{\tfrac {2,296}{575}}}
5.5000
11
2
{\displaystyle {\tfrac {11}{2}}}
3.5200 [ q]
88
25
{\displaystyle {\tfrac {88}{25}}}
2.2000
11
5
{\displaystyle {\tfrac {11}{5}}}
1.7200 [ m] [ q] [ r]
43
25
{\displaystyle {\tfrac {43}{25}}}
1.3172 [ q]
191
145
{\displaystyle {\tfrac {191}{145}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8226 [ q] [ r]
320
389
{\displaystyle {\tfrac {320}{389}}}
0.6400
16
25
{\displaystyle {\tfrac {16}{25}}}
Step
0.7260 [ n]
1.0000
1.5625
1.6000
1.2791 [ m]
1.3058
1.3172
1.2156
1.2853
Δ Step[ p]
0.9766 [ q]
1.2509
0.9796 [ q]
0.9913 [ q]
1.0836
0.9458 [ q]
Speed
-1.3774
1.0000
1.5625
2.5000
3.1977
4.1754
5.5000
6.6859
8.5938
Δ Speed
1.3774
1.0000
0.5625
0.9375
0.6977 [ r]
0.9777
1.3246
1.1859 [ r]
1.8321
2016: Racing Cars
8P 45R[ z]
450 N⋅m (332 lb⋅ft ) up to 1,050 N⋅m (774 lb⋅ft )[ 20]
TBD
TBD
60 96
TBD
2 3
4.2000 TBD
1.2275[ m]
Ratio
TBD
TBD
TBD
TBD
TBD
TBD
1.0000
TBD
TBD
2017: Commercial Vehicles[ aa]
8AP 600 T[ ab] 8AP 800 T 8AP 1000 T 8AP 1200 T
600 N⋅m (443 lb⋅ft ) 800 N⋅m (590 lb⋅ft ) 1,000 N⋅m (738 lb⋅ft ) 1,200 N⋅m (885 lb⋅ft )[ ac]
65[ ad] 115
65[ ad] 115
62 122
27 105
2 3
7.6522 1.7673
1.3374 [ m]
Gear Ratio
−4.2501[ n]
− − -->
10
,
672
2
,
511
{\displaystyle -{\tfrac {10,672}{2,511}}}
4.8889
44
9
{\displaystyle {\tfrac {44}{9}}}
3.1235[ q]
253
81
{\displaystyle {\tfrac {253}{81}}}
2.0334
1
,
584
779
{\displaystyle {\tfrac {1,584}{779}}}
1.6389 [ m] [ q] [ r]
59
36
{\displaystyle {\tfrac {59}{36}}}
1.2541[ q]
123
,
164
98
,
209
{\displaystyle {\tfrac {123,164}{98,209}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8400 [ q] [ r]
2
,
116
2
,
519
{\displaystyle {\tfrac {2,116}{2,519}}}
0.6389
23
36
{\displaystyle {\tfrac {23}{36}}}
Step
0.8693 [ n]
1.0000
1.5652
1.5361
1.2407 [ m]
1.3068
1.2541
1.1905
1.3148
Δ Step[ p]
1.0190 [ q]
1.2381
0.9494 [ q]
1.0420 [ q]
1.0535
0.9054 [ q]
Speed
-1.1503
1.0000
1.5652
2.4043
2.9831
3.8983
4.8889
5.8200
7.6522
Δ Speed
1.1503
1.0000
0.5652
0.8391
0.5787 [ r]
0.9153
0.9906
0.9311 [ r]
1.8322
8AP 1200 S[ ae]
1,200 N⋅m (885 lb⋅ft )[ ac]
65[ ad] 115
65[ ad] 115
65[ ad] 115
27 105
2 3
7.6522 1.7673
1.3374 [ m]
Gear Ratio
−3.7569 [ n]
− − -->
3
,
956
1
,
053
{\displaystyle -{\tfrac {3,956}{1,053}}}
4.8889
44
9
{\displaystyle {\tfrac {44}{9}}}
3.1235[ q]
253
81
{\displaystyle {\tfrac {253}{81}}}
2.0334
1
,
584
779
{\displaystyle {\tfrac {1,584}{779}}}
1.6389 [ m] [ q] [ r]
59
36
{\displaystyle {\tfrac {59}{36}}}
1.2676[ q]
49
,
572
39
,
107
{\displaystyle {\tfrac {49,572}{39,107}}}
1.0000
1
1
{\displaystyle {\tfrac {1}{1}}}
0.8305 [ q] [ r]
828
997
{\displaystyle {\tfrac {828}{997}}}
0.6389
23
36
{\displaystyle {\tfrac {23}{36}}}
Step
0.7685 [ n]
1.0000
1.5652
1.5361
1.2407 [ m]
1.2929
1.2676
1.2041
1.2999
Δ Step[ p]
1.0190 [ q]
1.2381
0.9596 [ q]
1.0200 [ q]
1.0527
0.9263 [ q]
Speed
-1.3013
1.0000
1.5652
2.4043
2.9831
3.8568
4.8889
5.8867
7.6522
Δ Speed
1.3013
1.0000
0.5652
0.8391
0.5787 [ r]
0.8738
1.0321
0.9979 [ r]
1.7654
Ratio R & Even
i
R
=
R
2
(
S
3
S
4
− − -->
R
3
R
4
)
S
3
S
4
(
S
2
+
R
2
)
{\displaystyle i_{R}={\tfrac {R_{2}(S_{3}S_{4}-R_{3}R_{4})}{S_{3}S_{4}(S_{2}+R_{2})}}}
i
2
=
R
2
(
S
4
+
R
4
)
(
S
2
+
R
2
)
S
4
{\displaystyle i_{2}={\tfrac {R_{2}(S_{4}+R_{4})}{(S_{2}+R_{2})S_{4}}}}
i
4
=
1
+
S
2
R
1
S
1
(
S
2
+
R
2
)
{\displaystyle i_{4}=1+{\tfrac {S_{2}R_{1}}{S_{1}(S_{2}+R_{2})}}}
i
6
=
1
1
{\displaystyle i_{6}={\tfrac {1}{1}}}
i
8
=
R
2
S
2
+
R
2
{\displaystyle i_{8}={\tfrac {R_{2}}{S_{2}+R_{2}}}}
Ratio Odd
i
1
=
S
4
+
R
4
S
4
{\displaystyle i_{1}={\tfrac {S_{4}+R_{4}}{S_{4}}}}
(
S
1
+
R
1
)
(
S
4
+
R
4
)
S
4
R
1
+
S
1
(
S
4
+
R
4
)
{\displaystyle {\tfrac {(S_{1}+R_{1})(S_{4}+R_{4})}{S_{4}R_{1}+S_{1}(S_{4}+R_{4})}}}
S
1
R
2
R
4
(
S
3
+
R
3
)
+
S
2
S
3
(
S
1
+
R
1
)
(
S
4
+
R
4
)
S
1
R
4
(
S
3
(
S
2
+
R
2
)
+
R
2
R
3
)
+
S
2
S
3
S
4
(
S
1
+
R
1
)
{\displaystyle {\tfrac {S_{1}R_{2}R_{4}(S_{3}+R_{3})+S_{2}S_{3}(S_{1}+R_{1})(S_{4}+R_{4})}{S_{1}R_{4}(S_{3}(S_{2}+R_{2})+R_{2}R_{3})+S_{2}S_{3}S_{4}(S_{1}+R_{1})}}}
R
2
(
S
3
+
R
3
)
R
2
(
S
3
+
R
3
)
+
S
2
S
3
{\displaystyle {\tfrac {R_{2}(S_{3}+R_{3})}{R_{2}(S_{3}+R_{3})+S_{2}S_{3}}}}
Algebra And Actuated Shift Elements[ af]
Brake A[ ag]
❶
❶
❶
❶
❶
Brake B[ ah]
❶
❶
❶
❶
❶
❶
Clutch C[ ai]
❶
❶
❶
❶
❶
Clutch D[ aj]
❶
❶
❶
❶
❶
❶
Clutch E[ ak]
❶
❶
❶
❶
❶
^ Layout
Input and output are on opposite sides
Planetary gearset 1 is on the input (turbine) side
Input shafts are C2 and, if actuated, R3 and S4
Output shaft is C4 (planetary gear carrier of gearset 4)
^ Total Ratio Span (Total Ratio Spread · Total Gear Ratio)
i
n
i
1
{\displaystyle {\tfrac {i_{n}}{i_{1}}}}
A wider span enables the
downspeeding when driving outside the city limits
increase the climbing ability
when driving over mountain passes or off-road
or when towing a trailer
^ Ratio Span's Center
(
i
n
i
1
)
1
2
{\displaystyle (i_{n}i_{1})^{\tfrac {1}{2}}}
The center indicates the speed level of the transmission
Together with the final drive ratio
it gives the shaft speed level of the vehicle
^ Average Gear Step
(
i
n
i
1
)
1
n
− − -->
1
{\displaystyle ({\tfrac {i_{n}}{i_{1}}})^{\tfrac {1}{n-1}}}
With decreasing step width
the gears connect better to each other
shifting comfort increases
^ Sun 1: sun gear of gearset 1
^ Ring 1: ring gear of gearset 1
^ Sun 2: sun gear of gearset 2
^ Ring 2: ring gear of gearset 2
^ Sun 3: sun gear of gearset 3
^ Ring 3: ring gear of gearset 3
^ Sun 4: sun gear of gearset 4
^ Ring 4: ring gear of gearset 4
^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah Standard 50:50 — 50 % Is Above And 50 % Is Below The Average Gear Step —
With steadily decreasing gear steps (yellow highlighted line Step )
and a particularly large step from 1st to 2nd gear
the lower half of the gear steps (between the small gears; rounded down, here the first 3) is always larger
and the upper half of the gear steps (between the large gears; rounded up, here the last 4) is always smaller
than the average gear step (cell highlighted yellow two rows above on the far right)
lower half: smaller gear steps are a waste of possible ratios (red bold)
upper half: larger gear steps are unsatisfactory (red bold)
^ a b c d e f g h i j k l m n o p q r s t u Standard R:1 — Reverse And 1st Gear Have The Same Ratio —
The ideal reverse gear has the same transmission ratio as 1st gear
no impairment when maneuvering
especially when towing a trailer
a torque converter can only partially compensate for this deficiency
Plus 11.11 % minus 10 % compared to 1st gear is good
Plus 25 % minus 20 % is acceptable (red)
Above this is unsatisfactory (bold)
^ Standard 1:2 — Gear Step 1st To 2nd Gear As Small As Possible —
With continuously decreasing gear steps (yellow marked line Step )
the largest gear step is the one from 1st to 2nd gear, which
for a good speed connection and
a smooth gear shift
must be as small as possible
A gear ratio of up to 1.6667:1 (5:3) is good
Up to 1.7500:1 (7:4) is acceptable (red)
Above is unsatisfactory (bold)
^ a b c d e f g h i j From large to small gears (from right to left)
^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah ai aj ak al am an ao ap aq ar as at au av aw ax ay az ba bb bc bd be bf bg bh bi bj bk bl bm bn bo bp bq br bs bt bu bv bw bx by bz ca cb cc Standard STEP — From Large To Small Gears: Steady And Progressive Increase In Gear Steps —
Gear steps should
increase: Δ Step (first green highlighted line Δ Step ) is always greater than 1
As progressive as possible: Δ Step is always greater than the previous step
Not progressively increasing is acceptable (red)
Not increasing is unsatisfactory (bold)
^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah ai aj ak al am an ao Standard SPEED — From Small To Large Gears: Steady Increase In Shaft Speed Difference —
Shaft speed differences should
increase: Δ Shaft Speed (second line marked in green Δ (Shaft) Speed ) is always greater than the previous one
1 difference smaller than the previous one is acceptable (red)
2 consecutive ones are a waste of possible ratios (bold)
^ without generation designation
^ Der neue BMW M760 Li xDrive · BMW Medieninformation Deutschland (The new BMW M760 Li xDrive · BMW Media Information Germany) · 02/2016 · p. 23 · and Der neue BMW M760 Li xDrive · Technische Daten · BMW Medieninformation Oesterreich (The new BMW M760 Li xDrive · Technical Specifications · BMW Media Information Austria) · 01/2017 · p. 2 · 800 N⋅m (590 lb⋅ft )[ 15] [ 14]
^ narrow total ratio span · preferebly for petrol engines, sports cars, and high performance engines · Alpina B3 Saloon AWD · Technical Data · 730 N⋅m (538 lb⋅ft )[ 16] [ 14]
^ Technical specifications · The new BMW 3 Series Sedan · BMW Media Information · 03/2019 · p. 2: BMW 320i Sedan · 300 N⋅m (221 lb⋅ft )[ 17] [ 14]
^ loc. cit. · p. 10: BMW M340i xDrive Sedan · 500 N⋅m (369 lb⋅ft )[ 17] [ 14]
^ wide total ratio span · preferebly for Diesel engines, offroad cars, and low performance engines · loc. cit. · p. 18: BMW 330d Sedan · 580 N⋅m (428 lb⋅ft )[ 17] [ 14] and Alpina D3 S Saloon AWD · Technical Data · 730 N⋅m (538 lb⋅ft )[ 18]
^ wide total ratio span · preferebly for Diesel engines, offroad cars, and low performance engines · Alpina XB7 AWD · Technical Data · 800 N⋅m (590 lb⋅ft )[ 19]
^ w/o hydraulic torque converter · narrow total ratio span of 4.2[ 20]
^ based on the same gearset concept as the 8HP transmissions[ 21] [ 22]
^ A utomatic P owershift Transmission for T rucks[ 23]
^ a b higher torque on demand[ 24]
^ a b c d e 65/115 or 52/92[ 24] [ 25]
^ A utomatic P owershift Transmission for S pecial vehicles[ 25] [ 26]
^ Permanently coupled elements
S1 and S2
C1 (carrier 1) and R4
R2 and S3
R3 and S4
^ Blocks S1 and S2
^ Blocks R1
^ Couples R3 and S4 with the turbine
^ Couples C3 (carrier 1) with C4 (carrier 4)
^ Couples R2 and S3 with R3 and S4