The ape index is arm span compared with height, and it is quoted in two incompatible ways by people who both think theirs is the standard one. Climbers usually mean the plus-minus: span minus height, expressed in inches or centimetres, so someone with a 184 cm span and a 178 cm height is a "plus six". Anthropometric literature usually means the ratio: span divided by height, so the same person is 1.034. This page returns both, from one measurement, so you never have to guess which convention a number came from.
Arb Digital publishes a free tools library covering everything from finance to physics, and this is one of the simplest calculations in it. That simplicity is exactly why it is worth doing properly: the arithmetic is trivial, the measurement is where all the error lives, and most of the value on this page is in getting the measurement right and reading the result honestly.
What This Ape Index Calculator Does
It takes two measurements and returns four numbers.
The plus-minus is span minus height, shown in both centimetres and inches. A positive figure means your arms are longer than your height, a negative one means shorter, and zero means the two match — which, for most people, is roughly what happens.
The ratio is span divided by height, and it is shown both as a decimal and as a percentage. The ratio is the form used in research and the form that lets you compare people of different heights honestly, because a plus-six on a 160 cm frame is proportionally a much bigger deal than a plus-six on a 195 cm one.
The optional standing reach is not part of ape index at all. It is included because it is the measurement most people actually want when they say "reach", and because it depends on shoulder mobility and torso proportions rather than just arm length.
How to Use It
- Measure height barefoot against a wall. Heels together and touching the wall, eyes level, a flat object across the top of the head. Do it at a consistent time of day, because spinal compression makes most people about a centimetre shorter by evening.
- Measure span with somebody else's help. Stand with your back to a wall, arms horizontal, shoulders relaxed. Mark both middle fingertips and measure between the marks. Doing this alone almost always produces a number that is too short.
- Do not shrug. Rolling the shoulders forward or up adds several centimetres of span that are not arm length, and it is the single biggest source of inflated ape index figures.
- Repeat both measurements three times. If your three span readings vary by more than a centimetre, your technique is the problem, not your anatomy.
- Read the ratio when comparing with anyone else. The plus-minus is fine for tracking yourself; the ratio is what makes a comparison across different heights meaningful.
The Formula: How Ape Index Is Calculated
Plus-minus form. index = arm span − height, in whatever unit both were measured in. Converting between the two units is simply inches = centimetres ÷ 2.54, using the exact definition of the inch adopted in the SI units material published by NIST.
Ratio form. ratio = arm span ÷ height, a dimensionless number, usually quoted to three or four decimal places. As a percentage it is simply the same figure times 100.
The two are not interchangeable without knowing the height. A ratio of 1.03 is +5.1 cm on a 170 cm frame and +5.9 cm on a 195 cm one. That is why quoting a plus-minus without a height loses information, and why research uses the ratio.
Worked example, matching the values this page loads with. Height 178 cm, span 184 cm. The plus-minus is 184 − 178 = +6 cm, which is 6 ÷ 2.54 = +2.36 inches. The ratio is 184 ÷ 178 = 1.0337, or 103.37%. With a standing reach of 234 cm, the reach sits 234 − 178 = 56 cm above standing height, and half the span is 92 cm.
What the Research Actually Says
Ape index has a reputation in climbing that outruns the evidence, and it is worth being precise about what has and has not been found.
A systematic review of body composition, anthropometric parameters and strength-endurance characteristics of sport climbers examined ape index across climbing ability levels and reported that none of the analysed studies showed differences between climber groups in ape index, with values across ability levels sitting in a narrow band of roughly 1.00 to 1.03. Its conclusion was that anthropometric variables such as ape index and height do not appear to be crucial in climbing.
Other work has found ape index appearing as one contributor among many in models of climbing performance, alongside finger strength, endurance, technique and psychological factors — but where the variance has been apportioned, training-related variables have consistently dominated and anthropometric ones have contributed little.
The honest summary is this: a large positive ape index is a small advantage in specific situations, it is not a requirement for climbing well, and it explains very little of the difference between climbers. If you are trying to work out why someone climbs harder than you, their finger strength and their movement quality are far better explanations than their arm length.
Why Reach Is Not the Same as Ape Index
The intuition behind ape index is that longer arms let you reach further, and that intuition is only partly right.
What decides whether you can make a move on a wall is not span but the distance from your centre of mass to your fingertips in the position you are actually in. That depends on arm length, yes, but also on torso length, shoulder mobility, hip flexibility and how high you can get your feet. A short-armed climber with excellent hip mobility often reaches further from a real body position than a long-armed one with stiff hips.
Long arms also carry a genuine cost. On steep terrain the arms are levers, and a longer lever means a longer moment arm against the shoulder and a greater tendency for the body to swing out from the wall. Long-armed climbers frequently find compressed, tight sequences harder than their shorter partners do, and they carry more mass further from the axis on any dynamic move.
The standing reach input on this page is the number that matters for a specific "can I touch that hold" question, and it is worth measuring separately because it responds to shoulder mobility work in a way that span never will.
Where Else the Measurement Is Used
Climbing gets most of the attention, but span-to-height ratios are recorded across several sports and in clinical settings, for quite different reasons.
In swimming, a long span is a mechanical advantage in the pull phase and is routinely noted in talent identification. In boxing and mixed martial arts, reach is measured and published for every fighter, though it is measured as span and used as a proxy for striking distance rather than as a ratio. In basketball, standing reach and wingspan are both measured at combines and standing reach usually carries more weight, for the same reason it does in climbing.
In clinical practice, arm span is used as a proxy for stature in people who cannot stand for a height measurement, and a markedly disproportionate span-to-height ratio is one of many observations that may be recorded during assessment. That is a clinical matter for a qualified professional and nothing to do with a sports calculator.
If you want the other body-measurement tools on the site, the BMI calculator, body fat calculator and lean body mass calculator cover composition, the ratio calculator handles ratios generally, and the length converter and feet and inches calculator deal with units.
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Browse the Free Tools Talk to Arb DigitalCommon Mistakes to Avoid
- Shrugging during the span measurement — rolling the shoulders up or forward adds centimetres that are not arm length, and it is the commonest reason for an implausible index.
- Measuring your own span alone — you cannot hold both fingertips against marks and read a tape at the same time, and the result is almost always short.
- Comparing a plus-minus across different heights — use the ratio, because the same absolute difference means more on a smaller frame.
- Measuring height in the evening and span in the morning — spinal compression changes height by around a centimetre across a day, which is a sixth of a typical index.
- Treating the index as an explanation of performance — the published reviews find anthropometry contributes very little, and training variables dominate.
- Confusing span with reach — standing reach depends on shoulder mobility and torso length as well as arm length, and it is the number that decides a specific move.
Related Free Tools From Arb Digital
The BMI calculator, body fat calculator and lean body mass calculator cover body composition, the ratio calculator handles the general arithmetic, and the length converter and feet and inches calculator deal with unit conversion. Everything else is in the free online tools hub.
Frequently Asked Questions
There is no threshold that makes one good. Published reviews of sport climbers report values across ability levels sitting in a narrow band of roughly 1.00 to 1.03 and find no difference between ability groups, so the index is better understood as a description of your proportions than as a score. Most people sit close to zero on the plus-minus scale.
The plus-minus is the climbing convention and is fine for describing yourself. The ratio is the research convention and is the only one that compares fairly across different heights, because the same absolute difference is proportionally larger on a smaller frame. Quoting a plus-minus without a height loses information.
Very little, on the published evidence. A systematic review of sport climbers found no difference in ape index between ability groups and concluded that anthropometric variables such as ape index and height do not appear to be crucial. Finger strength, endurance and technique explain far more of the difference between climbers.
Back against a wall, arms horizontal, shoulders relaxed and not shrugged, with somebody else marking both middle fingertips and measuring between the marks. Repeat three times. If your readings vary by more than a centimetre the technique is at fault, not your anatomy.
No. Standing reach is the height of your fingertips with one arm stretched overhead and feet flat, and it depends on torso length and shoulder mobility as well as arm length. It is usually the more useful number for a specific question about touching a hold, and unlike span it responds to mobility work.
No. Bone lengths are fixed in adults, so span and height do not change with training. What can change is what you do from a given position — hip mobility, shoulder range and the ability to get your feet high all extend effective reach without altering a single measurement on this page.
Almost always measurement technique. Shoulder position, whether shoes were worn, time of day and whether span was measured to the middle fingertip or to the knuckle all move the number by a centimetre or more. Compare only measurements taken the same way.
This tool performs a simple comparison of two measurements you supply. It is general sporting information, not medical advice, and a body measurement should never be used to draw conclusions about health — any concern about growth, proportions or musculoskeletal symptoms is a matter for a qualified clinician.