Beer IBU Calculator (Tinseth Formula)
Bitterness in International Bitterness Units from two hop additions, by Glenn Tinseth's formula, with the utilisation and the BU:GU balance.
Results
What this tool does
Hops only bitter beer once their alpha acids are isomerised by boiling, so what counts is not just how many grams go in but how long they boil and how dense the wort is. Glenn Tinseth fitted his formula in the 1990s to measured data, and it is the default in most brewing software: utilisation climbs steeply in the first 30 minutes and levels off after about an hour, and it drops as the gravity rises. A 10-minute addition contributes aroma and only a little bitterness, and the formula ignores hops added after the boil. Other methods such as Rager or Garetz give different numbers for the same recipe, so compare recipes using the same method; the BU:GU ratio near 0.5 is balanced, near 1 is clearly bitter.
Formula
IBU = 1.65 × 0.000125^(G − 1) × (1 − e^(−0.04 t)) ÷ 4.15 × (α × grams × 1000 ÷ litres)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
h1 | Hop addition 1: weight | g |
a1 | Hop addition 1: alpha acids | % |
b1 | Hop addition 1: boil time | min |
h2 | Hop addition 2: weight | g |
a2 | Hop addition 2: alpha acids | % |
b2 | Hop addition 2: boil time | min |
vl | Volume of finished beer | L |
og | Original gravity (OG) | — |
IB | Bitterness | IBU |
I1 | From hop addition 1 | IBU |
I2 | From hop addition 2 | IBU |
U1 | Utilisation of hop addition 1 | % |
BG | Bitterness-to-gravity ratio (BU:GU) | — |
Worked example
- Hop addition 1: weight28 g
- Hop addition 1: alpha acids6 %
- Hop addition 1: boil time60 min
- Hop addition 2: weight28 g
- Hop addition 2: alpha acids5 %
- Hop addition 2: boil time10 min
- Volume of finished beer20 L
- Original gravity (OG)1.05
- Bitterness25.2 IBU
- From hop addition 119.4 IBU
- From hop addition 25.9 IBU
- Utilisation of hop addition 123.1 %
- Bitterness-to-gravity ratio (BU:GU)0.50
Limitations
- The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
- The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.