Tanaka Max Heart Rate Formula: A Better Age-Based MHR Estimate
- Paul M Johnson - CNC,CSNC,PES

- 2 days ago
- 4 min read

For decades, "220 minus age" was the default answer to "what's my max heart rate?" It's easy to remember. It's also, according to the research it was built on, not especially accurate. The formula was never derived from a proper study — it was more of a rule of thumb that stuck because it was simple, and it has been quietly misleading athletes ever since.
The Tanaka Max Heart Formula was built to fix that.
Where 220 Minus Age Falls Short
The "220 minus age" formula has no solid research base. It's been traced back to an offhand estimate rather than a controlled study, and later research has shown it tends to overestimate max heart rate in younger people and underestimate it in older ones. For a 25-year-old, that error can push training zones higher than they should be. For a 60-year-old, it can leave the top end of every zone artificially low.
Dr. Hirofumi Tanaka set out to correct that with a meta-analysis pulling together data from thousands of individuals across a wide age range. The result was a formula with a smaller average error and a track record that holds up better across different ages and fitness levels.
The Formula
MHR = 208 − (0.7 × Age)
That's the entire equation. One input, one multiplication, one subtraction.
Worked Example
Take a 45-year-old athlete.
208 − (0.7 × 45) 208 − 31.5 = 176.5, rounded to 177 bpm
Compare that to the old formula: 220 − 45 = 175 bpm. Close in this case, a two-beat gap. The divergence grows more noticeable at the edges of the age range — for a 25-year-old, Tanaka estimates 190.5 bpm against 220 minus age's flat 195, a nearly 5-beat difference that changes where every training zone sits.
From Max Heart Rate to Training Zones
A max heart rate number by itself doesn't do much. Its value comes from what it sets up: five training zones, each tied to a percentage range of that number.
Zone 1 (50–60% of MHR): Recovery, warm-ups, cooldowns, and easy aerobic movement.
Zone 2 (60–70% of MHR): Aerobic endurance — base-building rides and long runs.
Zone 3 (70–80% of MHR): Tempo work and steady, moderate race-specific effort. Zone 4 (80–90% of MHR): Threshold training and sustained, controlled hard efforts.
Zone 5 (90–100% of MHR): VO2 max intervals and short, high-intensity repeats.
Using the 177 bpm example above, Zone 2 would fall between roughly 106 and 124 bpm, and Zone 4 between roughly 142 and 159 bpm. Every zone scales directly off the MHR estimate, which is exactly why getting that starting number right matters.
What the Formula Gets Right
It only requires age, so there's no equipment or testing involved. It's built on a large, diverse dataset rather than a guess. It gives athletes a workable starting point for structuring intensity, and it's simple enough to explain, recalculate, and apply inside a training plan without friction.
Where It Still Falls Short
An age-based formula can't account for genetics, training history, or fitness level — two 45-year-olds with very different training backgrounds can have genuinely different max heart rates that the same formula flattens into one number. It doesn't factor in medications that raise or lower heart rate, and it doesn't distinguish between sports, even though max heart rate on a bike is commonly a few beats lower than on a run for the same person.
Tanaka is a strong starting estimate. It is not a replacement for a max heart rate you've actually recorded during a hard effort or lab test.
Getting a More Accurate Number
Formula estimates are a starting point, not a final answer. A field test — a hard, sustained effort with a heart rate monitor, like the last few minutes of an all-out 5K or a structured max-effort protocol — will usually get closer to an individual's true number than any equation can. Race data and consistent training history over time can also refine the picture. Where the formula and the field data disagree, the field data wins.
Use the Tanaka formula here for a first pass, then compare it against real numbers as they come in.
FAQ
What is the Tanaka max heart rate formula? It's an equation — 208 minus 0.7 times age — that estimates maximum heart rate based on research showing it performs more consistently across age groups than the older "220 minus age" method.
Is the Tanaka formula more accurate than 220 minus age? For most people, yes. It was built from a much larger dataset and tends to have a smaller average error, particularly at the younger and older ends of the age range where "220 minus age" drifts the most.
Can the Tanaka formula replace a lab test? No. It's a useful estimate for setting up training zones, but a field test or lab-based assessment will generally produce a more individualized and accurate number.
Does the Tanaka formula work the same for cycling and running? The formula itself doesn't adjust for sport, even though real max heart rate often varies by a few beats between disciplines for the same athlete. Field-testing within each sport gives a more precise picture.
Turning the Number Into a Plan
A max heart rate estimate is only useful once it's built into an actual structure — one that tells an athlete which days should feel easy, which should feel controlled, and which should hurt. That structure is where an estimate turns into results.
Explore Andiamo²® training plans built around heart rate, pace, power, and recovery across swim, bike, and run.
Not sure where your numbers should start? Grab the Splash Class below. Drop your email in and receive a free 12-week swim and strength plan that lets you test-drive the Andiamo²® coaching structure in your real training life with zero cost and zero pressure.
Have a question about setting up your zones correctly? Send it over — a coach will get back to you directly.


