The Mechanics of Crownring
Crownring is a patent pending, dual-radius chainring that
dynamically adapts to the rider's pedaling motion. This
biomechanical synchronization results in a more efficient transfer
of power, reducing the metabolic cost of pedaling and increasing
endurance.
What you see in the looping animation is a crowned-chainring with a
draw of 40 teeth. What is hard to see is, while the Crownring is
technically 40T, because of its dual nature the draw through the
first half of the stroke is 36T, and the draw through the second
half of the stroke increases to 49T. It operates with 36-49 combo
draw. Notice the top and bottom sections of chain and the gap
between them. As the Crownring enters the 49T phase through the
second half of the stroke the chain's gap widens indicating the
larger diameter.
The Physics
The reason Crownring works is the same as a deep knee bend. Anyone
familiar with squats knows standing from a crouched position is
easier once you pass the halfway mark. Similarly, during the pedal
stroke, the rider's leg is stronger when it reaches the straight leg
posture. By increasing the chainring's diameter at exactly this
moment, the Crownring taps into this reservoir of strength,
converting it to increased speed.
Because the Crownring's ratio is lower through the first half of the
stroke the stress is reduced. This prolongs endurance and helps to
tame hills. Then, as the leg straightens, the ratio increases using
your strength seamlessly. I say seamless because your strength
increase is greater than the ratio increase thus your stroke is
smooth and natural. The change is completely unnoticeable.
A final aspect of the Crownring is the high radius of the crown is
dominant. It seems counter intuitive but the 40T Crownring in the
animation is stroke for stroke the same speed as a 48T chainring
bicycle. How does 40T equal 48T? Drift. Just as every bicycle drifts
through their dead zones, Crownring uses this drift to stretch the
40T draw into the 48T travel. By accelerating the bicycle through
the high radius, kinetic energy powers the bike while the pedals are
ineffective. This, of course, is the same on every bicycle.
Crownring just does it more efficiently.
The Math
Crown Size:
Now that you have been introduced to the physics of Crownring, lets
get into the math. The Crownring in the animation has a 40T draw. A
36T low radius, and a 49T high radius. I depict this as
40T/36-49(2). The (2) is the crown size.
The crown can be a 1, 2, or 3. More than 3 and the pedaling can
develop outpace wherein the top radius is so much smaller than the
bottom radius that the foot can't keep up and has the potential to
float off of the pedal. To determine the size of the crown a
standard chainring is wrapped with the chain. Move one, two, or
three links to pucker the chain.
Given identical T-values the bigger the crown the smaller the small
radius. If the 40T had a 3 size crown it would be 40T/34-52(3). Even
though the draw is the same as with the 40T/36-49(2) the
performances are completely different. The 3 size Crownring is
faster than the same draw on a 2 size Crownring.
The (3) and the (1) have their places, but for just casual riding
the (2) performs best.
Draw:
The 40T/36-49(2) Crownring is a great all-around power component.
Its speed is the same as the 48T chainring, but it requires much
less effort. Draw is an important value in the component because it
relates directly to the crown size. In the 40T/36-49(2) there is a
ratio difference of ~27% between 36T and 49T. If we look at a
24T/20-33(2) there is a ratio difference of ~40% between 20T and
33T. Even though they both have a (2) size crown the ending effort
is greater with the smaller Crownring. 40% is about the rule of
thumb for strength increase. If the ratio difference exceeds
strength difference then the Crownring ceases to feel like an
advantage. Smaller Crownrings work best with smaller crowns. A
24T/22-28(1) still provides crown advantage but does not peak the
strength index with its ~22%.
The percentages are derived through decomposition. With 24T/22-28(1)
we use 100/28=3.57. 3.57*22=78.54. 100-78.54=21.46. This gives us a
radius variation between ~21 and 22%.
By dropping the crown size we bring the radius index down to less
than the strength index making for a comfortable stress-free stroke.
The crown still provides the range of a 3 gear shift of a clustered
freewheel (stepping 2, e.g. 20, 18, 16), which is easier and faster
than the round 24T with the same freewheel range…without needing to
shift.
Given the same logic, for those that like to use extreme chainrings,
(66, 72, or greater), the (3) size crown would give them quite an
edge. If they handle a 72T chainring then a 72T Crownring would be
72T/66-84(3). If we decompose the ratio we have 100/84=1.19.
1.19*66=78.54. 100-78.54=21.46% which is well within their strength
index. Imagine cruising at 84T speed with 72T effort. Even less,
because resistance (wind, hills) will meet the 66T radius being much
easier than struggling against the same resistance with a 72T round
chainring.
I don't make up the teeth counts. The draw is simply the count of
teeth on the ring perimeter. The rest are dictated by crown size.
There are formulas to arrive at the values.
Where D is draw, C is crown, L is low radius, H is high radius.
D - (2 x C) = L
or
L + (2 x C) = D
L + (6 x C) + (3 - C) = H
Given any two values these formulas will provide the other values.
For that there is a shorthand for the Crownring designation.
46T/42-55(2) is also a nice cruising Crownring and can be fully
depicted with 46T(2). The low and high can be identified by passing
46 draw and 2 crown through the formulas.
By replacing your chainring with the same T-value in Crownring you
will pedal easier while traveling faster. For this the Crownring
motto is "Easier, Faster." Alternatively, you can match your T-value
with the low radius and go much faster without noticing other
differences. It is Crownring's low radius that dictates ease of use,
and its high radius that dictates speed. The draw and crown size
merely manipulate the high and low.
If you are comfortable with your bicycle's ratio you should match
the draw. If your bicycle is getting to be a challenge then match
the high. If you want more speed then match the low.
Your 46T could become 46T/42-55(2) to be easier and faster, or
38T/34-47(2) to be much easier but retain speed, or 50T/46-59(2) for
greater speed at minimum change in effort.
If it sounds too good to be true then give one a try. You won't need
further convincing.
Text updated August 30, 2025