Enter the frequency in Hz into the calculator to determine the time in milliseconds. This calculator can also convert ms to Hz.
| Hz to ms (period) | ms to Hz (frequency) |
|---|---|
| 1 Hz = 1000 ms | 0.05 ms = 20000 Hz |
| 2 Hz = 500 ms | 0.1 ms = 10000 Hz |
| 5 Hz = 200 ms | 0.2 ms = 5000 Hz |
| 10 Hz = 100 ms | 0.5 ms = 2000 Hz |
| 20 Hz = 50 ms | 1 ms = 1000 Hz |
| 24 Hz = 41.666667 ms | 2 ms = 500 Hz |
| 30 Hz = 33.333333 ms | 2.272727 ms = 440 Hz |
| 40 Hz = 25 ms | 2.5 ms = 400 Hz |
| 50 Hz = 20 ms | 4 ms = 250 Hz |
| 60 Hz = 16.666667 ms | 5 ms = 200 Hz |
| 100 Hz = 10 ms | 8.333333 ms = 120 Hz |
| 120 Hz = 8.333333 ms | 10 ms = 100 Hz |
| 200 Hz = 5 ms | 16.666667 ms = 60 Hz |
| 440 Hz = 2.272727 ms | 20 ms = 50 Hz |
| 500 Hz = 2 ms | 25 ms = 40 Hz |
| 1000 Hz = 1 ms | 33.333333 ms = 30 Hz |
| 2000 Hz = 0.5 ms | 41.666667 ms = 24 Hz |
| 5000 Hz = 0.2 ms | 50 ms = 20 Hz |
| 10000 Hz = 0.1 ms | 100 ms = 10 Hz |
| 20000 Hz = 0.05 ms | 200 ms = 5 Hz |
| Formulas: period (ms) = 1000 ÷ frequency (Hz), and frequency (Hz) = 1000 ÷ period (ms). | |
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Hz To Ms Formula
The core formula for converting frequency in hertz to period in milliseconds is:
Ms = 1 / Hz * 1000
Variables:
- Ms is the period (duration of one complete cycle) in milliseconds
- Hz is the frequency in hertz (cycles per second)
This relationship is reciprocal: frequency and period are inversely proportional. Doubling the frequency halves the period. A 1 Hz signal completes one cycle per second, so each cycle lasts 1,000 ms. A 1,000 Hz signal completes 1,000 cycles per second, so each cycle lasts just 1 ms.
Why Frequency and Period Matter
Frequency (Hz) tells you how often something repeats. Period (ms) tells you how long each repetition takes. Both describe the same physical phenomenon from opposite perspectives, and nearly every field of engineering, science, and technology depends on this conversion in some form. Below are the domains where Hz-to-ms conversion appears most frequently, along with the specific numbers engineers and technicians work with daily.
Electrical Power Grids
Mains electricity operates at either 50 Hz or 60 Hz depending on region. In North America, Japan (eastern grid), and parts of South America, the standard is 60 Hz, giving each AC cycle a period of 16.67 ms. Most of Europe, Africa, Asia, and Australia use 50 Hz, producing a cycle period of 20 ms. Power engineers use these period values to design protective relays, synchronize generators, and time circuit breaker operations. A relay that must trip within one cycle at 60 Hz has a 16.67 ms window; at 50 Hz, it has 20 ms.
Display Technology and Refresh Rates
Monitor and TV refresh rates are specified in Hz, but the frame timing that GPU drivers and game engines actually use is measured in milliseconds. A 60 Hz display refreshes every 16.67 ms. A 144 Hz gaming monitor refreshes every 6.94 ms. A 240 Hz competitive display refreshes every 4.17 ms, and a 360 Hz panel drops that to 2.78 ms per frame. These frame-time budgets are critical for developers: if a game engine cannot render a frame within 6.94 ms, a 144 Hz monitor will show stuttering or tearing. The human flicker fusion threshold sits between 35 and 60 Hz for most people (roughly 16.7 to 28.6 ms per frame), which is why frame rates below about 30 fps (33.3 ms per frame) look noticeably choppy.
Audio Engineering and Music Production
In audio, Hz-to-ms conversion bridges the gap between frequency content and time-domain effects. The human hearing range spans roughly 20 Hz to 20,000 Hz, which corresponds to periods from 50 ms down to 0.05 ms. A bass note at 80 Hz has a period of 12.5 ms. Concert pitch A4 at 440 Hz has a period of approximately 2.27 ms. The highest audible frequencies around 20 kHz cycle every 0.05 ms.
Audio latency is another area where this conversion is essential. A digital audio workstation running at 44,100 Hz sample rate with a 256-sample buffer produces a latency of 5.8 ms (256 / 44,100 * 1000). At 128 samples the latency drops to 2.9 ms. Professional recording engineers target round-trip latency under 10 ms because humans begin to perceive delay around 10 to 15 ms, and latency above 20 ms makes real-time monitoring uncomfortable for performers.
Networking and Telecommunications
Network polling rates, clock recovery circuits, and packet timing all depend on Hz-to-ms conversion. Ethernet uses a 125 MHz clock for gigabit transmission, meaning each symbol period is 0.008 ms (8 nanoseconds). Wi-Fi beacon frames are typically broadcast every 102.4 ms (approximately 9.77 Hz). VoIP codecs sample voice at 8,000 Hz (0.125 ms per sample) and pack 20 ms of audio into each packet (160 samples). Network engineers designing quality-of-service rules often convert jitter specifications from frequency domain to time domain to set buffer sizes.
Medical Devices and Biosignals
Electrocardiogram (ECG) machines sample heart electrical activity at rates between 250 Hz and 1,000 Hz, corresponding to sample intervals of 4 ms to 1 ms. A normal resting heart rate of 72 beats per minute is 1.2 Hz, giving a cardiac cycle period of about 833 ms. The QRS complex (the sharp spike on an ECG trace) lasts roughly 80 to 120 ms, while the P-wave lasts about 80 ms. EEG (brain wave) measurements categorize neural oscillations by frequency band: delta waves at 0.5 to 4 Hz (periods of 2,000 to 250 ms), theta at 4 to 8 Hz (250 to 125 ms), alpha at 8 to 13 Hz (125 to 77 ms), beta at 13 to 30 Hz (77 to 33 ms), and gamma above 30 Hz (under 33 ms).
Mechanical Vibration and Structural Engineering
Vibration analysis for rotating machinery converts between frequency and period constantly. A motor spinning at 3,600 RPM rotates at 60 Hz, completing one revolution every 16.67 ms. Vibration sensors (accelerometers) on bearings, turbines, and compressors capture data in the frequency domain, but maintenance engineers often need the period to correlate vibration signatures with specific mechanical events per revolution. Earthquake seismology also uses this conversion: building resonant frequencies between 0.5 and 10 Hz correspond to natural periods of 2,000 to 100 ms, which determines how structures respond to seismic waves.
Key Reference Values
Below are period values for frequencies encountered across multiple industries. These are exact conversions using the formula Ms = 1000 / Hz.
- 1 Hz = 1,000 ms (one event per second)
- 50 Hz = 20 ms (EU/Asia mains power cycle)
- 60 Hz = 16.67 ms (North American mains power cycle and standard display refresh)
- 120 Hz = 8.33 ms (high refresh rate TV panel)
- 144 Hz = 6.94 ms (gaming monitor standard)
- 240 Hz = 4.17 ms (competitive gaming display)
- 440 Hz = 2.27 ms (concert pitch A4)
- 1,000 Hz = 1 ms (1 kHz reference tone)
- 8,000 Hz = 0.125 ms (VoIP telephony sample rate)
- 44,100 Hz = 0.0227 ms (CD audio sample rate)
- 20,000 Hz = 0.05 ms (upper limit of human hearing)
Human Perception Thresholds in Milliseconds
Understanding how humans perceive time intervals makes these conversions more meaningful. Research shows that the human visual system has a flicker fusion threshold between roughly 35 and 60 Hz (28.6 to 16.7 ms), meaning light flickering faster than about 60 Hz appears steady to most observers. However, trained individuals and younger adults may detect flicker up to about 90 Hz. For touch, humans can detect vibrations as brief as 2 ms. For hearing, the ear resolves timing differences between left and right channels down to approximately 0.01 ms (10 microseconds), which is how the brain localizes sound sources. Average visual reaction time is around 250 ms (4 Hz equivalent), while auditory reaction time is slightly faster at about 170 ms (5.9 Hz equivalent).
