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Corrected QT Interval (QTc) Calculator

Calculate the corrected QT interval using Bazett, Fridericia, Framingham, and Hodges formulas from QT interval and heart rate.

About this calculator

The QT interval on an ECG lengthens or shortens with heart rate on its own, independent of any underlying cardiac problem, so it must be "corrected" to a standardized rate of 60 bpm before it can be compared across patients or over time. This calculator computes that correction four ways from the same two inputs, measured QT Interval and Heart Rate. Bazett's formula (1920), QTc = QT / sqrt(RR), is the most widely used clinically despite being known to over-correct at heart rates outside the roughly 60-100 bpm range. Fridericia's formula, QTc = QT / RR^(1/3), uses a gentler cube-root exponent and is generally preferred at heart rate extremes.

Framingham's linear regression formula (Sagie et al., 1992), QTc = QT + 0.154 x (1 - RR), and Hodges' formula (1983), QTc = QT + 1.75 x (HR - 60), take a different, additive approach rather than dividing by a power of RR. All four ultimately move in the same direction as the two inputs: raising QT Interval raises every QTc value one-for-one in the underlying units, and -- because none of the four correction formulas is perfectly rate-independent -- raising Heart Rate also raises all four QTc values across this calculator's full 30-200 bpm range, with Bazett's correction climbing the most steeply of the four at high heart rates, the well-documented over-correction that is exactly why Fridericia or Hodges are often favored when heart rate is far from normal. This calculator's single Prolonged flag uses a general 460 ms Bazett cutoff rather than the sex-specific thresholds (over 450 ms in men, over 460 ms in women in the 2009 AHA/ACCF/HRS ECG recommendations; some drug-safety guidance uses 470 ms for women) since it takes no sex input -- treat it as a rough screen, not a diagnostic cutoff. A QTc over 500 ms is read as markedly prolonged: the 2010 AHA/ACCF statement on torsades de pointes reports a 2- to 3-fold higher risk above that line, with each further 10 ms adding roughly 5-7%.

Inputs

ms

Normal QT: 350–440 ms; prolonged QTc: >450 ms (male) or >470 ms (female) per AHA

bpm

Normal HR: 60–100 bpm; Bazett formula most accurate 60–100 bpm (less so at extremes)

Results

QTc (Bazett)

438 ms

QTc (Fridericia)

425 ms

QTc Category (Bazett)Not prolonged
QTc (Framingham)426 ms
QTc (Hodges)421 ms
RR Interval0.83 sec
Prolonged (Bazett >460ms)0(0=No, 1=Yes)

Figures current as of 2010. Sources: Bazett HC. An analysis of the time-relations of electrocardiograms. Heart. 1920;7:353-370., Fridericia LS. Die Systolendauer im Elektrokardiogramm bei normalen Menschen und bei Herzkranken. Acta Med Scand. 1920;53:469-486., Sagie A, Larson MG, Goldberg RJ, Bengtson JR, Levy D. An improved method for adjusting the QT interval for heart rate (the Framingham Heart Study). Am J Cardiol. 1992;70(7):797-801., Drew BJ, Ackerman MJ, Funk M, et al. Prevention of torsade de pointes in hospital settings: a scientific statement from the American Heart Association and the American College of Cardiology Foundation. Circulation. 2010;121(8):1047-1060., Rautaharju PM, Surawicz B, Gettes LS. AHA/ACCF/HRS recommendations for the standardization and interpretation of the electrocardiogram: part IV: the ST segment, T and U waves, and the QT interval. Circulation. 2009;119(10):e241-e250.

How to Use This Calculator
  1. Enter the measured QT interval (ms) and heart rate (bpm).
  2. Review QTc by Bazett, Fridericia, Framingham, and Hodges formulas.
  3. Bazett is most widely used clinically; Fridericia is preferred at extreme heart rates.
  4. QTc > 500 ms by any formula is markedly prolonged, with a 2- to 3-fold higher torsades risk.

How the result changes with QT Interval

QT IntervalQTc (Bazett)QTc (Fridericia)
200219 ms213 ms
300329 ms319 ms
600657 ms638 ms
700767 ms744 ms

What each input means

QT Interval
Measured QT interval from the 12-lead ECG in milliseconds. Normal QT: 350–440 ms. Prolonged QTc (>450 ms men, >470 ms women) increases torsades de pointes risk.
Heart Rate
Heart rate in beats per minute for RR interval calculation. RR interval (seconds) = 60 ÷ heart rate. Bazett formula: QTc = QT ÷ √RR. Most accurate at heart rates 60–100 bpm.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    QT Interval = 400, Heart Rate = 72 = 2 input(s) provided
  2. Calculate QTc
    QTc
    438 = 438
  3. Calculate QTc
    QTc
    425 = 425
  4. Calculate QTc
    QTc
    426 = 426
  5. Calculate QTc
    QTc
    421 = 421

Figures and sources

Engine last updated . Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why do Bazett, Fridericia, Framingham, and Hodges give different QTc values for the same ECG?

Each formula corrects for heart rate differently -- Bazett divides by the square root of the RR interval, Fridericia by its cube root, and Framingham and Hodges add a heart-rate-dependent term instead of dividing at all. They agree closely near a heart rate of 60 bpm (where RR = 1 second and every formula reduces to QTc = QT) and diverge more the further heart rate moves from that point.

Why does QTc rise as heart rate rises, if it's supposed to be 'corrected' for heart rate?

None of these four formulas is a perfect correction -- each is an empirical fit, not an exact physiological law -- so all four still drift upward with heart rate across this calculator's full 30-200 bpm range rather than staying flat. Bazett's square-root correction is the most heart-rate-sensitive of the four, which is the well-documented reason it tends to over-correct (read as falsely prolonged) at fast heart rates.

Why does this calculator use a single 460 ms cutoff instead of separate cutoffs for men and women?

The 2009 AHA/ACCF/HRS ECG recommendations use sex-specific thresholds -- prolonged above 450 ms in men and above 460 ms in women (some drug-safety guidance uses 470 ms for women) -- but this calculator has no sex input, so its Prolonged flag uses 460 ms as a rough screen rather than a diagnostic cutoff. A result near that line should be interpreted using the sex-specific thresholds, not this calculator's single number.

Which QTc formula should I trust most at a very fast or very slow heart rate?

Fridericia's cube-root correction and Hodges' linear correction are generally considered more reliable than Bazett's at heart rates well outside the roughly 60-100 bpm range, since Bazett's square-root correction over-corrects most sharply at those extremes. Clinical guidelines and drug-safety studies increasingly report Fridericia alongside or instead of Bazett for this reason.

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