I have a cupcake recipe that I've doubled successfully in the past. I'd like to triple it for an upcoming party but I seem to recall reading that some ingredients don't work as well if tripled. Is that true? If so, what are they? Is there any time when tripling a cake or cupcake recipe would work?
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Closely related: [Is there any truth to the idea that you shouldn't multiply seasonings when multiplying a recipe?](http://cooking.stackexchange.com/q/9458/41) – Aaronut Apr 09 '11 at 20:49
3 Answers
The short answer is no; there are no specific ingredients that don't scale (double or triple or quintuple, makes no real difference).
There are, however, two pitfalls you need to be aware of when scaling any recipe:
If your recipe uses volumetric measurements, especially very small ones for important ingredients (such as half a teaspoon of baking soda) then there is a greater risk of ending up with the wrong amount when you scale up. That is why most "professional" baking recipes use weight measurements.
Honestly, I doubt you'll run into problems with just tripling, but if you want to make 10 times the amount, you'd be wise to convert those measurements to weight, or just find a recipe that uses weight measures in the first place.
Your cooking method may not scale linearly. In particular, problems tend to come up related to cooking times - which you may need to increase a certain amount (the exact amount depends upon the exact recipe), and the size/shape of the vessel (especially with respect to its surface area vs. volume).
You can control the latter variable in baking relatively easily by simply using multiple vessels of the original size, or by baking in batches (be mindful of when you add the leavening agents if doing batches). Cooking times, however, you can really only guess at, and I can only recommend that you watch your dish carefully as it nears the final stages - hopefully you know what it looks like when it's almost done.
As long as you don't change anything else - such as making individual cupcakes 3 times as large - then you should not run into any problems.

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Yes, a cupcake recipe is probably one of the few which can't just be tripled.
All cupcake recipes I've come across are chemically leavened (they include baking powder or baking soda). With baking powder and baking soda, the leavening starts as soon as you mix the dry and the liquid parts of the batter - even before you put the batter into the oven. It produces gas bubbles which slowly rise to the surface and puff away.
That's why you need to bake the batter immediately. Once the dough starts setting in the oven, the bubbles start to get trapped within the forming sponge of the baked cake and give it volume and lightness. Even the time to pour the batter into 36 cups could be somewhat too long, provided that you can fit all of them in your oven. But I guess that you don't have such a big oven, and are planning to bake them in batches. While the first batch is baking, the leavening in the remaining batter will proceed, all the bubbles will form and pop, and then the batter will be flat, like an opened soft drink left outside for too long. When you put it into the oven, there will be nothing left to make new bubbles - the baking soda will have been used up - and it won't rise, leaving the middle dense and uncooked.
Some cakes are leavened without baking powder or baking soda, just with eggs. Maybe this is applicable to cupcakes too (although I haven't seen such recipes). But as egg foam falls with time, especially if mixed with other ingredients, you have the same problem - your batter shouldn't be spending any time outside the oven.
So the normal thing to do would be to make the recipe three times, not to make all the batter at once. If you have a kitchen scale, you can mix all the dry ingredients in one bowl and all the wet ones in another, then for each batch, mix exactly one third of each (or one half, if you have enough cupcake pans and oven space to handle the amount at once) and wait until the oven is free before mixing the next batch. Measuring by volume is risky, and estimating it by its looks is more likely to flop than to work. I've heard advice to mix everything but the baking powder and add the powder at the last moment, but getting a very small amount of baking powder evenly mixed into lots of wet batter, while it is reacting, doesn't work well. So mixing dry and wet separately is what I'd do. If leavened with beaten egg whites, I'd beat each batch of whites separately at the last moment and mix under the rest for each batch.
The other thing to consider is that your oven will likely be hotter after a batch of cupcakes than after 10 minutes of preheating. So throw a look early at all batches after the first one.
*Edit: An addition about the effect of tripling on salt and baking soda. *
I have read the answer which Aaronut linked in the comment to the question, but don't agree that a bigger size gives you more room for error - explanation see below.
As for soda and salt. You are right that these are very sensitive to wrong measurement. First, they are chemically very active, will not be able to do their important work if underdosed, and will leave a noticeable undesirable taste if overdosed. Second, because they are used in small quantities, a small absolute error in measurement will make a big relative one - using 5 gr instead of 4 is a 25% increase. Third, as kitchens seldom have exact measuring instruments with the needed sensitivity, recipes are usually rounded, and a recipe designed for the triple size will probably prescribe an amount of salt and/or soda which works much better than tripling your recipe. Fourth, because of the rounding, the amount given is probably not the optimal one, but somewhere between the optimal one and the upper or lower limit of working well, and you don't even know on which side. Meaning that your available margin of error is much smaller than of bulkier items which are (hopefully) given in a more exact amount.
But the previous paragraph all applies to bad measurement, not to multiplying the recipe while still using exact measurement. And I don't see how this can affect the tripled size, for one simple reason - when you are baking, you are not interested in absolute amounts. What you need to get right are the ratios. So even if tripling the recipe can lead to a bigger absolute error, the probability for a relative error stays the same, or even falls.
First, you should be measuring as exactly as you can. If you measure exactly at both the single and triple dosage, the recipe should work, regardless of the fact that the amount prescribed is not optimal due to rounding. Let's say that 2% salt by weight would have been optimal, but your recipe cites "3 gr", which results in 1.8% salt. Obviously, this ratio is still acceptable, or else the single size won't work. If you measure exactly for the triple size, you'll still end up with 1.8%, which will work just as well as the single size. (You could have done better if you had a recipe for a triple size which says 10 grams instead of 9, but obviously you don't have it).
But what if your measurement techique isn't exact? I hope that you can measure well enough to make roughly a gaussian distribution, sometimes measuring just a bit less and sometimes just a bit more than what you wanted. As the error should be independent of the amount measured, tripling the recipe should lead to the same absolute measurement error, which is a smaller relative measurement error in the bigger size - so you are better off. This applies if you are measuring with a scale, because its error is mostly independent of the weight measured, except at the extreme ends of its range.
If you are measuring by volume and throwing in three tablespoons instead of one, you are measuring three times instead of one (just please don't start calculating that three tsp are a tbsp or something similar and use the calculated measure instead; measure it three times). Provided that your average measurement is the one you want, in the best case your errors from the three measurements will cancel each other partially, providing a better measurement. In the worst case, you'll make a big error in the same direction three times after each other (but the probability for this is low), and then you'll be just in the same position as measuring once for the single dose and making the same big error. (So if you consistently scoop 1.1 tsp instead of 1 tsp, the ratio of soda to batter will be the same in the tripled case as in the single case).
The only case I can think of when tripling is a risk is a case where the recipe is inconveniently close to a limit (as in prescribing 3 grams of soda when 3.2 would be too much) and your average measured result is somewhat translated towards this limit (as in, your scale is not perfectly calibrated and usually overmeasures by 0.1 gram). Then you'll have a high probability of your measurement exceeding the limit. If this is the case, the probability of passing the limit after three measuring events is higher than after a single measuring event. So the probability that the tripled recipe will fail is higher. But in this case, the single recipe will also fail often, so you probably won't be using it at all.
The meaning of all this is that while using a recipe specifically designed for a big batch is the best solution, using a multiplied small-batch recipe isn't more probable to fail than using the same recipe for a small batch. If somebody finds something wrong with my reasoning, please point it out, it is a bit late in the evening to be doing math.

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2While all of the explanations here seem technically correct, I think you overstate the importance of "instant" baking; many cupcake recipes even tell you to refrigerate the batter for up to an hour if you're making it in batches. I know I've personally left it sitting out at room temperature for almost that long and noticed no appreciable difference. I suppose it does depend on the recipe though. – Aaronut Apr 09 '11 at 21:31
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1I've had it make a big difference both in American pancakes and a marble cake (the type baked in a gugelhupf pan). With the pancakes it was a single batch started immediately, and the last ones were leathery, thin, and burned. The cake was batter left to wait until the oven is free, and it turned out very bad (not completely unleavened, but didn't really cook through). So I wouldn't risk it, especially as the marble cake recipe is similar to many cupcake recipes. Also, b. soda is worse than b. powder, which is mostly double action. – rumtscho Apr 09 '11 at 22:06
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Thanks all. My oven is big enough to accommodate 3 cupcake pans at one time so that is not an issue. I hadn't taken the time to fill the cupcake pans into consideration although I've done 24 cupcakes in the past with no problems. I don't think that an extra 12 would be an issue. My bigger concern was with the baking soda and salt. I thought that I read somewhere that there would be a problem tripling those. Any thoughts? – Apr 09 '11 at 22:27
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1@Carecooks : actually, baking lots of things in the oven at once can be more of a problem -- if you crowd too much in, you don't have good circulation. Also, having one pan above the other will cause the bottom one to cook more from underneath while the other one cooks more from the top; rotating pans means a loss of heat when you do it. – Joe Apr 09 '11 at 22:40
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@Carecooks filling 36 cups isn't enough to deflate your batter if you work quickly. But note Joe's comment, I think he's right. When I said baking it in 2 batches (18 cakes at a time), I was thinkkng that in a big oven these could fit beside each other, not on different heights. – rumtscho Apr 09 '11 at 22:54
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@Carecooks: Baking soda is the leavening agent which both this answer and my answer refer to. The salt issue is largely a myth. Just don't let it sit for too long and you'll be fine - but I also agree with Joe that you need to be careful not to overcrowd your oven, and especially try not to put one tray directly below another. I've ruined a perfectly good batch of choux pastry (cream puffs) that way. – Aaronut Apr 09 '11 at 23:32
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Your update has me totally lost. The reason volume measurements are a problem for scaling is that the measurements are initially imprecise *and* subject to environmental conditions, so the error is cumulative, and usually larger precisely *because* the repeated measurement is less subject to the random chance associated with smaller quantities. It's also *extremely* unlikely that individual human measuring error actually follows a Gaussian distribution; most people tend to be consistently over or under - in some cases deliberately, based on past experiences. – Aaronut Apr 10 '11 at 00:42
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2@Carecooks: Note the issue with the oven overcrowding is not just dependent on whether or not it fits. As Joe says there is an air circulation problem, but there are a number of others: increased humidity levels from a larger number of cakes; many ovens operate at different temperatures at different heights deliberately, particularly if they do not have a fan; many ovens are closer towards the edges than the centre; increased time with the door open when checking to see if they are done; heat shielding and reflection by the trays (the effect varies by position, material and oven type); etc. – Orbling Apr 10 '11 at 01:15
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@Carecooks, I'd like to apologize for hijacking your question for this lengthy and somewhat abstract discussion. Me and Aaronut found out in chat that we are both expecting the same thing to happen: With a single batch and an imprecise measurement, you'll get sometimes good, sometimes bad batches. If multiplied, the recipe will result in a batch which is always just acceptable, never very good or very bad. Do whatever you want with that, we both think that it is best to measure by weight, period. – rumtscho Apr 10 '11 at 20:30
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I've decided to make two batches but one last question on this topic. Will a convection oven offset the issue of staggering the cupcakes? And hijacking my own questions, whose set of weight measurements do you use? I only recently discovered that there is no standard weight for a cup of flour. I've always used the equivalents given by Salter my scale manufacturer. I then noticed that King Arthur's website had a different equivalent and that some of the cookbooks that I have use something else. Salter gives different weights for different types of flour. Just curious. – Apr 12 '11 at 20:18
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1 of 2: I don't have enough data to answer about the overcrowded convection oven. The question about the conversion is complicated. Your goal is to use exactly the same amount of flour as the recipe's author used. So if the recipe book lists a conversion scale, use that one. If your recipe source doesn't give a conversion equivalent, you can't choose a "right" one, because you don't know if the author didn't choose a "wrong" one. Two criteria you could use is to either go for the most common one (if there is a cookbook half of American households have, try looking it up there, from what ... – rumtscho Apr 12 '11 at 20:34
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2 of 2: I've heard, Julia Child seems like a good choice if she lists equivalents), because this raises your chance of using what the author used, or go for convenience - as you're likely to be somewhat off the mark with any conversion, you can spare yourself the work and use the conversion built-in in your scale, if there is one. Don't use an equivalent printed on a measuring cup, this is influenced by how much the flour is packed. The differences between the equivalent systems shouldn't be too big; your recipe may not be perfect with the wrong one, but probably it will be decent. – rumtscho Apr 12 '11 at 20:40
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@rumtscho - Thanks, I was really just curious. I find the Salter measurements work well for me although you're right that you never know what the recipe writer used. I once saw a picture of 40 cakes that were made from the exact same recipe by different cooks. None of them looked alike. Different cooks used different measurements, pans, oven temps, etc. But probably most of them tasted great. Thanks for all of your help. – Apr 12 '11 at 23:33
Other than issues with crowding issues (during cooking, in the mixing bowl, etc.), I can only think of one problem that I've specifically seen with baked goods, and it was directions to:
add one egg at a time, beating for two minutes after each addition
The person who made the cake followed the instructions exactly (rather than modify it to add double or triple the number of eggs per addition), which meant that the batter was being beaten for twice as long, resulting in too much gluten development and tunneling.

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