The Tanaka Formula — the Max-HR Estimate the Research Recommends
208 − 0.7 × age is the formula most exercise scientists reach for instead of "220 − age" — built on a meta-analysis of ~18,700 people, not a 1970s guess.
Almost everyone has heard "220 − age"; almost nobody has heard of Tanaka — even though it's the one the literature actually recommends. It was fitted to pooled data from hundreds of studies, so it tracks the real age trend far better. It's still an estimate (about ±10 bpm for an individual), which is why WIMSTA shows it as the anchor within a range of nine formulas.
At 40, Tanaka and "220 − age" differ by about 0 bpm — the gap widens the further you are from 40, which is exactly where 220 − age fails. Tanaka fits the population better, but it still has an SD of about ±10 bpm, so read your max as a range. The full calculator shows all nine formulas together.
Why Tanaka beats "220 − age"
In 2001, Tanaka, Monahan and Seals published a meta-analysis (351 studies, ~18,700 subjects) and a validation of their own. Their equation, 208 − 0.7 × age, was fitted to that large pooled sample — the opposite of "220 − age", which was sketched through a handful of small datasets and never regressed. Tanaka reads lower than 220 − age in younger people and higher in older ones, correcting the age bias that makes the old rule least reliable at the extremes.
It isn't magic: the residual standard deviation is still around ±10 bpm, so your personal maximum can sit either side of the number. Better provenance, same honesty — read it as a range, not a verdict.
Good for
A better general-population max-HR estimate, and a sound anchor for setting training zones.
Keep in mind
Still ±10 bpm for an individual. For women, Gulati may fit better; compare a range, not one number.
Anchor your zones to the better formula.
The calculator runs Tanaka beside eight other formulas, shows the honest range, and turns the recommended anchor into five training zones.
Open the heart-rate calculatorTanaka, Monahan & Seals (2001) — J Am Coll Cardiol 37(1):153–156. 208 − 0.7·age · SD ±10 bpm. Derived and validated in a meta-analysis of ~18,700 subjects; implementation covered by our test suite. Full sourcing on the method page.
FAQ
What is the Tanaka formula?
Tanaka is max heart rate = 208 − 0.7 × age. It comes from a 2001 meta-analysis by Tanaka, Monahan and Seals that pooled data from about 18,700 people across 351 studies — one of the largest bases any max-HR formula has. It is widely recommended as a better general-population estimate than "220 − age".
Is Tanaka more accurate than 220 − age?
For the population, yes. "220 − age" was never derived statistically and reads too high in younger people and too low in older ones. Tanaka was fitted to a large pooled sample, so it tracks the age trend better. But for one individual it still carries a standard deviation of roughly ±10 bpm — better, not exact.
Tanaka vs 220 − age — when do they differ most?
They cross near age 40, where both give about 192–193. Below 40, Tanaka reads lower than 220 − age; above 40, it reads higher. The further from 40 you are, the bigger the gap — which is exactly where 220 − age is least reliable.
Does Tanaka work for women?
It applies to both sexes — the equation has no sex term. For women specifically, Gulati (206 − 0.88 × age) was derived on a female cohort and can fit better. The honest approach is to look at several formulas as a range, which is what WIMSTA shows.
Related: why "220 − age" is off · max heart rate for women (Gulati) · the Karvonen zone method.