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CardiologyQTc

QTc Calculator – Bazett, Fridericia, Framingham & Hodges

Compare four fixed heart-rate correction formulas from a measured QT interval and representative heart rate, with ECG measurement and interpretation limits.

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Formula and medical content are based on the references listed on this page. See sources, About, and Sources and Review Process.

Large RR variability or an uncertain QT endpoint requires a different measurement workflow rather than one QT/heart-rate pair.

Enter the measured QT duration from QRS onset to the reviewed T-wave endpoint. Ordinary decimal digits only.

Use a representative heart rate from the same ECG. Ordinary decimal digits only.

About

The QT interval runs from the beginning of ventricular depolarization at QRS onset to the end of ventricular repolarization at the T-wave endpoint. Because QT duration changes with heart rate, QTc formulas apply different mathematical corrections; QTc is calculated rather than directly measured. [7, 10, 11]

This page compares the fixed Bazett, Fridericia, Framingham (Sagie), and Hodges equations from one clinician-reviewed QT and representative heart rate on the same ECG. It does not analyze an ECG tracing, identify the T-wave endpoint, choose a formula for a person or protocol, diagnose long QT syndrome, predict an individual torsades event, or decide whether a medicine is safe. [8, 9, 13]

Formula

RR interval (seconds) = 60 ÷ heart rate in beats per minute. [11]
Bazett: QTcB = QT ÷ √RR, with QT in milliseconds and RR in seconds. [1]
Fridericia: QTcF = QT ÷ ∛RR, with QT in milliseconds and RR in seconds. [2]
Framingham (Sagie): QTcFram = QT + 154 × (1 − RR), with QT and QTc in milliseconds. [4]
Hodges: QTcH = QT + 1.75 × (heart rate − 60), with QT and QTc in milliseconds. The 2018 correction to Vandenberk’s article restored the coefficient from an erroneous 0.00175 to 1.75. [3, 6]
All four results use the unrounded inputs and derived RR interval. Display values are rounded to one decimal place; the RR audit value is shown to three decimals.

Interpretation

What the comparison represents

QTc is a formula-adjusted interval, not a directly measured biological constant. Different fixed corrections can produce materially different values from the same ECG, especially when heart rate is far from 60 bpm. At exactly 60 bpm, RR is one second and all four equations return the measured QT. The four values reflect four models, not four changes in the tracing. [5, 11]

How to obtain the inputs

Use a clinician-reviewed QT interval and a representative heart rate from the same ECG. QT measurement begins at QRS onset and ends at the end of the T wave; lead choice, low-amplitude or notched T waves, fused U waves, noise, and automated annotation can change the endpoint. Do not combine a QT from one tracing with a heart rate from another time. Serial comparisons should retain the lead, endpoint method, rhythm context, and correction formula whenever possible. [7, 10]

Worked example

A measured QT of 400 ms at 75 bpm gives RR 0.800 seconds. Bazett gives 447.2 ms, Fridericia 430.9 ms, Framingham 430.8 ms, and Hodges 426.3 ms. The spread is a formula difference, not a change in the recorded ECG.

Formula-specific evidence

Static evidence context for four QT correction formulas
CorrectionEvidence and limitation
BazettThe 1920 square-root correction remains widely reported, but it retains substantial heart-rate dependence and commonly gives higher values during tachycardia and lower values during bradycardia. [1, 5, 12]
FridericiaThe 1920 cube-root correction is common in drug-safety work. ICH E14/S7B addresses QT assessment in that regulatory context; it does not make one formula a universal patient-level diagnostic standard. [2, 9, 12]
FraminghamSagie and colleagues derived the linear RR correction in 5,018 Framingham participants aged 28–62 years, with RR intervals from 0.50 to 1.47 seconds. It is not a universal validation range for every patient. [4]
HodgesHodges, Salerno, and Erlien reported a linear heart-rate correction in 1983. A 2018 formal correction to the Vandenberk article changed its printed Hodges coefficient from 0.00175 to 1.75; this calculator uses 1.75. [3, 5, 6]

This table is fixed evidence context. The page does not select, rank, or recommend a formula from the submitted result. Formula performance varies with population, heart-rate distribution, ECG acquisition, endpoint measurement, and study purpose. [5, 11]

In a 2025 comparison of 22,063 medically assessed healthy phase 1-trial participants, Fridericia had the lowest residual QTc– heart-rate association and Bazett the highest. That comparison concerns healthy research participants; it is not a universal formula-selection rule for every patient, rhythm, QRS width, disease, or clinical pathway. [14]

Static source-specific QTc landmarks

Source-specific static QTc landmarks that are not applied to calculator results
LandmarkSource contextCalculator boundary
470 ms / 480 msApproximate 99th-percentile QTc values for otherwise healthy postpubertal males and females in the 2010 AHA/ACCF hospital-settings statement. [8]Static reference context only
>500 msHospital-settings acquired or drug-induced QT prolongation and torsades-prevention context in the 2010 AHA/ACCF statement. [8]No monitoring, admission, medication, or treatment instruction
≥480 msRepeated 12-lead ECG or an LQTS diagnostic score above 3 in the 2022 ESC clinical diagnostic context. [13]No diagnosis from a submitted value
≥460 msA conditional 2022 ESC LQTS diagnostic context when arrhythmic syncope or cardiac arrest is present. [13]Symptoms and clinical criteria are not collected

These numbers come from different documents and answer different clinical questions; they are not a QuickMedCalc grading scale. The calculator does not compare a submitted value with those landmarks, label any formula normal, borderline, prolonged, dangerous, or high risk, diagnose or exclude congenital long QT syndrome, or generate medication, monitoring, admission, or treatment advice.

When this simple calculation is unreliable

Large beat-to-beat RR variability, atrial fibrillation, frequent ectopy, pacing, an uncertain T-wave endpoint, wide QRS or bundle branch block, and changing heart rate can require averaging, alternative repolarization measures, or specialist ECG review. Age, sex, symptoms, family history, genotype, medicines, electrolytes, renal or hepatic function, and serial ECG change remain outside the arithmetic. Wide QRS, bundle branch block, and ventricular pacing can require JT or another protocol-specific method; this page does not calculate JT or a wide-QRS adjustment. [7, 8, 13]

References

  1. Bazett HC. An analysis of the time-relations of electrocardiograms. Heart. 1920;7:353–370. Reprinted in Ann Noninvasive Electrocardiol. 1997;2(2):177–194. DOI 10.1111/j.1542-474X.1997.tb00325.x.
  2. Fridericia LS. Die Systolendauer im Elektrokardiogramm bei normalen Menschen und bei Herzkranken. Acta Med Scand. 1920;53(1):469–486. DOI 10.1111/j.0954-6820.1920.tb18266.x.
  3. Hodges M, Salerno D, Erlien D. Bazett’s QT correction reviewed. Evidence that a linear QT correction for heart rate is better. J Am Coll Cardiol. 1983;1(2):694. Abstract.
  4. 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. PMID 1519533. DOI 10.1016/0002-9149(92)90562-D.
  5. Vandenberk B, Vandael E, Robyns T, et al. Which QT Correction Formulae to Use for QT Monitoring? J Am Heart Assoc. 2016;5(6):e003264. PMID 27317349. PMCID PMC4937268. DOI 10.1161/JAHA.116.003264.
  6. Correction to: Which QT Correction Formulae to Use for QT Monitoring? J Am Heart Assoc. 2018;7(16):e004252. PMID 30369330. PMCID PMC6201387. DOI 10.1161/JAHA.117.004252.
  7. Rautaharju PM, Surawicz B, Gettes LS, et al. 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. J Am Coll Cardiol. 2009;53(11):982–991. PMID 19281931. DOI 10.1016/j.jacc.2008.12.014.
  8. 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. PMID 20142454. PMCID PMC3056123. DOI 10.1161/CIRCULATIONAHA.109.192704.
  9. U.S. Food and Drug Administration. E14 and S7B Clinical and Nonclinical Evaluation of QT/QTc Interval Prolongation and Proarrhythmic Potential — Questions and Answers Guidance for Industry. August 2022.
  10. Goldenberg I, Moss AJ, Zareba W. QT interval: how to measure it and what is normal. J Cardiovasc Electrophysiol. 2006;17(3):333–336. PMID 16643414. DOI 10.1111/j.1540-8167.2006.00408.x.
  11. Malik M, Färbom P, Batchvarov V, Hnatkova K, Camm AJ. Nomenclature, categorization and usage of formulae to adjust QT interval for heart rate. World J Cardiol. 2015;7(6):315–325. PMID 26131336. PMCID PMC4478566. DOI 10.4330/wjc.v7.i6.315.
  12. Indik JH, Pearson EC, Fried K, Woosley RL. Bazett and Fridericia QT correction formulas interfere with measurement of drug-induced changes in QT interval. Heart Rhythm. 2006;3(9):1003–1007. PMID 16945790. DOI 10.1016/j.hrthm.2006.05.023.
  13. Zeppenfeld K, Tfelt-Hansen J, de Riva M, et al. 2022 ESC Guidelines for the management of patients with ventricular arrhythmias and the prevention of sudden cardiac death. Eur Heart J. 2022;43(40):3997–4126. PMID 36017572. DOI 10.1093/eurheartj/ehac262.
  14. Hoek LJ, Voors AA, Maass AH, Riesebos M, Brouwer JL. A comparison of the four most commonly used formulae to adjust the QT-interval for heart rate in 22,000 healthy subjects. J Electrocardiol. 2025;92:154091. PMID 40829441. DOI 10.1016/j.jelectrocard.2025.154091.

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Educational and informational reference only. Not intended to replace professional medical advice, diagnosis, treatment, or independent verification.