MAD BREWS
DAY 02 SG 1.079 THE ARITHMETIC

What a hydrometer reading is actually worth.

Three calculators. No account, no email box. They run inside the page, they print the arithmetic they used underneath themselves, and they say plainly where that arithmetic gets thin.

A hydrometer floats lower the less sugar is dissolved under it. Fill the trial jar, spin the stem once so the bubbles let go of the glass, and read the flat surface of the liquid — not the curved lip climbing up the stem. Then write down the temperature next to the number, because you will need both of them.

Two readings, taken a few weeks apart, are the whole measurement. Everything below is what you do with them.

Hydrometer floating in a test jar SG 1.062 AIR FIG. 2 — HYDROMETER
PLATE BHYDROMETERDRAWING
DAY 07 SG 1.034 THE INSTRUMENTS

Three tools, and what each one quietly assumes.

One converts readings into alcohol. One works backwards from the strength you want. One tells you the range a starting gravity can land in.

TOOL 01 · OG + FG

Alcohol from two readings

Take a gravity reading before the yeast goes in, and another once the airlock has been quiet for three days. The gap between them is the sugar the yeast ate; multiplying that gap by 131.25 turns it into alcohol. It also reports apparent attenuation — how much of the available sugar actually went.

ABV = (OG − FG) × 131.25

Before pitching.
When it has stopped.
ESTIMATED ALCOHOL

Enter both readings and the estimate appears here.

TOOL 02 · TARGET STRENGTH

Sugar or honey for a target strength

The same arithmetic run backwards. Say how strong you want it and how many litres you are making, and it returns the weight to dissolve. Honey is roughly 80% fermentable sugar, so it takes about a third more of it than of table sugar for the same result.

KG = (ABV ÷ 131.25 × 1000) ÷ K × LITRES · K = 384 SUGAR · 292 HONEY

Per cent, 1 to 20.
Litres of finished must.
Sucrose or blossom honey.
YOU WILL NEED ROUGHLY

Enter a target and a volume and the weight appears here.

WHERE THIS ONE IS THIN

The sugar figure ignores volume displacement. Dissolved sugar takes up room: 1KG stirred into 10L of water does not give you ten litres of sweet water, it gives you a little over ten. The calculator does not model that, so on high-gravity musts — anything heading past 1.100SG — it overstates the sugar you need by a few per cent. Hold back the last handful, take a reading, and add the rest only if the number asks for it.

TOOL 03 · POTENTIAL

What a starting gravity can become

One reading, taken before pitching, and two honest outcomes. Ferment right out and you land near the top of the range at about 0.998SG; stop semi-sweet around 1.010SG and you land near the bottom. Where you finish inside that range is the strain and the cellar, not the sugar.

ABV = (OG − 0.998) × 131.25 DRY · (OG − 1.010) × 131.25 SEMI-SWEET

Between 1.010 and 1.200.
POTENTIAL ALCOHOL

Enter a starting gravity and the range appears here.

HONESTY

Where these numbers stop being true.

All three tools run on the same homebrew approximation: gravity points times 131.25. That is a straight line drawn through a curve, and it fits best in the middle of the range. On a 5%ABV cider the error is small enough to ignore. On a 14%ABV mead it can be around 0.5%ABV out, and it errs low rather than high, which is the polite direction to be wrong in. Treat every figure on this page as an estimate to half a per cent, not a lab result.

Then there is temperature. A hydrometer is calibrated to be exactly right at one temperature — usually 20°C, printed on the stem — and a warm sample is less dense than a cold one, so a reading taken straight off an active ferment comes out low. Correct it before you type it in.

Sample atCorrectionSo 1.050 is really
10°C −0.0015SG 1.0485SG
15°C −0.0009SG 1.0491SG
20°C 0.0000SG 1.0500SG
25°C +0.0011SG 1.0511SG
30°C +0.0025SG 1.0525SG
35°C +0.0040SG 1.0540SG

FOR A HYDROMETER CALIBRATED AT 20°C · CHECK THE STEM, SOME ARE 15°C

One more thing worth knowing: once there is alcohol in the sample, density stops being a clean measure of sugar. Alcohol is lighter than water, which is exactly why a dry mead finishes below 1.000SG. The formula already absorbs that, but it means the final gravity is an inference rather than a measurement, and it is the least trustworthy number here.

None of this asks whether the yeast can get there. A strain has an alcohol ceiling and a temperature range, and a 16%ABV target handed to a packet rated for 12%ABV gives you a stuck, sweet mess rather than a strong drink. Check the strain in the yeast guide first, then come back and do the arithmetic.

Open the yeast guide