Maximum heart rate formulas compared: 220 − age vs Tanaka
Every heart rate zone depends on maximum heart rate — and most people estimate it with a formula. Here is how the common formulas compare, how wrong they can be, and what to do about it.
The two main formulas
- Traditional: 220 − age. Widely used, including in the American Heart Association's target heart rate chart.
- Tanaka: 208 − 0.7 × age. Published in 2001 in the Journal of the American College of Cardiology from a meta-analysis of 351 studies covering 18,712 people, and confirmed in a laboratory study of 514 healthy adults aged 18 to 81.
| Age | 220 − age | 208 − 0.7 × age | Difference |
|---|---|---|---|
| 20 | 200 | 194 | -6 |
| 30 | 190 | 187 | -3 |
| 40 | 180 | 180 | +0 |
| 50 | 170 | 173 | +3 |
| 60 | 160 | 166 | +6 |
| 70 | 150 | 159 | +9 |
| 80 | 140 | 152 | +12 |
The formulas cross at about age 40. Below that, 220 − age predicts a higher maximum; above it, a lower one — about 10 beats lower by age 70. The Tanaka study concluded the traditional formula underestimates maximum heart rate in older adults.
How wrong can a formula be?
Both formulas predict an average. In the Tanaka laboratory study, individual values varied around the average with a standard deviation of roughly 7–11 beats per minute. In plain terms, many people's real maximum is within about 10 beats of the formula, but a meaningful minority are 20 or more beats away — enough to shift every training zone.
Better ways to find your maximum
- A supervised exercise test with a doctor, physiotherapist or exercise physiologist is the safest and most accurate option, especially if you are older, unfit or have health conditions.
- Highest value seen in hard training or races recorded with a reliable chest strap gives a practical lower bound for fit, healthy people.
- Do not attempt a maximal test alone if you have any heart symptoms, risk factors or have not exercised hard recently.
Does it matter for Zone 2?
Less than you might think. A 10-beat error in maximum heart rate moves a 60–70% Zone 2 range by only 6–7 beats. Using your resting heart rate (the Karvonen method) and checking with the talk test keeps you in the right area even if the formula is off. The calculator lets you choose either formula or enter a measured maximum.
Frequently asked questions
Can I find my maximum heart rate from a fitness watch?
Some watches estimate it from your training data. The highest reliable value you see during very hard efforts gives a practical lower bound, but optical sensors can produce spikes, so treat isolated high readings with caution.
Does a higher maximum heart rate mean I am fitter?
No. Maximum heart rate is largely determined by age and genetics and does not rise much with training. Fitness shows up more in a lower resting heart rate and a faster pace at the same heart rate.
Are there formulas for women?
Some researchers have proposed sex-specific formulas, but the widely used Tanaka equation was derived from both men and women and did not find a meaningful difference by sex in its analysis.
Medical note: This is general information, not medical advice. Heart rate formulas are estimates. If you have a heart condition, high blood pressure, diabetes, take medication that affects heart rate (such as beta-blockers), are pregnant, or are new to exercise, ask a doctor before changing your training. Stop and seek help if you feel chest pain, severe breathlessness, dizziness or palpitations. Full disclaimer.
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