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Corrected QT Interval (Bazett's Formula)

Adjusts a heart's QT interval (from an ECG) for heart rate, since the raw QT interval naturally shortens as heart rate increases.

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Corrected QT Interval CalculatorBazett's Formula

QTc = QT / √RR
QT (ms)  ·  RR (seconds)
⟹ QTcQT, RR
ms
s
ms
RR unit:
Solve for:
QTc
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QTc Range
Normal (<450) Borderline (450–480) Prolonged (480–500) High Risk (>500)
QTc vs. RRfixed QT
QTc(RR) for fixed QT Computed point
QTc = QT / √RR • QT in ms, RR in seconds • Bazett's formula

Interpretation

QTc = QT / √(RR). Corrects QT interval for heart rate. Used to assess risk of arrhythmias (long QT syndrome). Essential in cardiology and drug safety.

QTc = QT / sqrt(RR)
Corrected QT Interval (Bazett's Formula)

Variables

SymbolQuantityUnit
QTcCorrected QT intervals
QTMeasured QT intervals
RRRR interval (time between heartbeats)s

What it means

The QT interval on the electrocardiogram (ECG) varies with heart rate. Bazett’s formula corrects it to a standard heart rate of 60 bpm. QTc = QT / √(RR), where RR is the interval between R waves (in seconds). Prolonged QTc (typically >440 ms in men, >460 ms in women) is associated with increased risk of torsade de pointes, a life‑threatening arrhythmia. It is used in cardiology, in medication monitoring (many drugs prolong QT), and in assessing syncope. Understanding QTc is essential for clinicians and for drug development to ensure safety.

Worked example

Corrected QT Interval (Bazett) – Two Detailed Examples

Real‑World
Scenario: An electrocardiogram (ECG) shows a QT interval of 0.4 seconds and an RR interval of 1.0 second (heart rate 60 bpm). The doctor calculates the corrected QT (QTc) using Bazett's formula to account for heart rate. A normal QTc is <0.44 seconds for men and <0.46 seconds for women. This helps assess the risk of arrhythmias.
ParameterValue
QT (s)0.4
RR (s)1.0
1QTc = QT / sqrt(RR) = 0.4 / sqrt(1.0) = 0.4 / 1 = 0.4 s
Result 0.4 s ✓ Normal QTc
Scenario: A patient's ECG shows QT = 0.38 s and RR = 0.8 s (heart rate 75 bpm). The cardiologist calculates QTc to evaluate if the QT interval is prolonged relative to the heart rate. This is important for patients on medications that can prolong the QT interval and increase arrhythmia risk.
ParameterValue
QT0.38
RR0.8
1QTc = 0.38 / sqrt(0.8) = 0.38 / 0.8944 = 0.4249 s
Result 0.425 s ✓ Normal QTc
Insight: The corrected QT interval adjusts the measured QT for heart rate. Bazett's formula (QTc = QT / √RR) is commonly used. A prolonged QTc (>0.44‑0.46 s) may predispose to ventricular arrhythmias.

Common mistakes

  • Bazett’s formula: QTc = QT / √(RR), where RR is the interval in seconds.
  • QT: The measured QT interval – in seconds or milliseconds.
  • RR: The interval between consecutive R waves – in seconds (or use heart rate: RR = 60/HR).
  • Units: Be consistent – if QT in ms, RR in seconds.
  • Correction: Bazett overcorrects at high heart rates – other formulas (Fridericia) may be preferred.

Applications

The corrected QT interval (QTc) using Bazett's formula (QTc = QT / √RR) adjusts the measured QT interval for heart rate, allowing standardised assessment of ventricular repolarisation. An abnormally prolonged QTc (>450 ms in men, >470 ms in women) is a risk factor for torsade de pointes, a life‑threatening arrhythmia. Clinicians, especially cardiologists and emergency physicians, use QTc to evaluate patients with syncope, palpitations, or on medications that may prolong QT. By calculating QTc, healthcare providers can identify those at risk and adjust therapy. This formula is essential in cardiac monitoring and pharmacovigilance.

  • Cardiac risk assessment in patients with syncope or arrhythmias
  • Monitoring of drug safety (QT‑prolonging medications)
  • Diagnosis of congenital long QT syndrome
  • Pre‑operative cardiac evaluation
  • Research on cardiac electrophysiology

Frequently Asked Questions

Q01What is Bazett's formula for corrected QT interval used for?
A01

It adjusts the measured QT interval (from ECG) for heart rate: QTc = QT / √(RR), where RR is the interval between R waves (in seconds).

Q02Why is correction needed?
A02

The raw QT interval shortens as heart rate increases. Correction allows comparison of QT values across different heart rates.

Q03What is a normal QTc value?
A03

Normal QTc is ≤ 440 ms in men and ≤ 460 ms in women. Prolonged QTc (> 500 ms) is a risk factor for arrhythmias.

Q04Give a worked example.
A04

A patient has QT = 400 ms, RR = 800 ms (heart rate ~75 bpm). QTc = 400 / √0.800 = 400 / 0.894 = 447 ms.

Q05What are the limitations of Bazett's formula?
A05

  • It over‑corrects at fast heart rates and under‑corrects at slow heart rates.
  • It is less accurate than Fridericia's formula (QTc = QT / RR^(1/3)) for extremes.

Q06What are common mistakes when using Bazett's formula?
A06

  • Applying Bazett's correction at very fast or very slow heart rates, where it is known to be less accurate.
  • Using RR in milliseconds instead of seconds (should be in seconds).
  • Not ensuring the QT measurement is accurate (e.g., correct lead).

Q07What is the clinical significance of prolonged QTc?
A07

It increases the risk of torsade de pointes, a life‑threatening arrhythmia. Certain drugs can prolong QTc.

Q08How does Bazett's formula compare to Fridericia's formula?
A08

Fridericia's formula is QTc = QT / RR^(1/3). It is more accurate at extreme heart rates and is now preferred in many settings.

Q09What is the difference between QT and QTc?
A09

QT is the measured interval; QTc is the corrected version. Only QTc should be compared across patients.

Q10How do you measure RR interval?
A10

It is measured from one R wave to the next on the ECG. It is the inverse of heart rate (in seconds).