RUŌOD Lab

Level 5 · Perfume Mathematics and Formula Design

Scaling a Batch: Study Guide and Exercise

Read our scaling guide, then scale one formula up and down, finding the point at which smaller batches stop being weighable and larger ones cost too much.

Intermediate 15 min study By the RUŌOD Lab team Updated

In short

Scaling multiplies every line by one factor, so the arithmetic is simple. The reference guide covers the methods. The practical question this guide answers is how small a batch you can honestly make on your scale, since that decides how you work.

What you will learn

  • Scale a formula by a single factor
  • Identify the smallest batch your scale can make honestly

Before this lesson: Normalize a Formula to 1,000 Parts

What to look for as you read

  • The difference between scaling by total weight, by factor and by one material.
  • Why you scale from the normalized formula, not from a scaled copy of a scaled copy.

Practical exercise: Find your smallest honest batch

About 25 minutes · You will have: one formula scaled to three sizes, with the smallest workable batch identified

  1. Choose one normalized formula from your notes.
  2. Calculate grams for batches of 100 g, 20 g and 5 g.
  3. Mark every line below your practical minimum at each size.
  4. For the 5 g batch, either plan stocks or conclude that it is too small. Write down why.
  5. Estimate the material cost of each batch, if you know your prices.

You have done this well if you can state your smallest workable batch for this formula and your reasons.

Knowledge check

1. To go from 10 g to 25 g, what factor applies to every line?
Show the answer

2.5. 25 ÷ 10 = 2.5.

2. A 10 g batch has a line of 0.15 g. Your practical minimum is 0.2 g. What do you do?
Show the answer

Use a stock, or make a larger batch. Either route keeps the line accurate. Which one depends on cost and solvent.

3. Does a larger batch always behave the same as a small one?
Show the answer

Not always, since mixing, temperature and evaporation can differ. The arithmetic scales exactly, but production can bring new issues, which the guide on repeatable batches discusses.

Further reading and materials

Written and reviewed by the RUŌOD Lab team. This is general education, not legal, regulatory, medical or safety advice. Example dilutions and exercises are for learning, are not validated products, and have not been safety-assessed. Completing a lesson confers no qualification. How we check these lessons.