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Calcimator

Oscilloscope Selection Calculator

Bandwidth and sample rate from signal requirements.

About this calculator

This calculator solves the standard 555 timer astable (free-running oscillator) equations from your two timing resistors and capacitor. In astable mode the capacitor charges through R1 and R2 in series, then discharges through R2 alone, so the high time is t_high = 0.693 × (R1 + R2) × C and the low time is t_low = 0.693 × R2 × C; period is their sum, and frequency is simply 1/period (equivalent to the familiar f = 1.44 / ((R1 + 2×R2) × C)). Because the capacitor always charges through both resistors but discharges through only R2, t_high is mathematically guaranteed to be at least as long as t_low — a standard 555 astable circuit can never produce a duty cycle below 50%, which is why the duty cycle output here always lands at or above that mark.

If you need a true 50% square wave you need a diode across R2 or a different topology, not this circuit. The calculator also reports an approximate average timing current (assuming a 5V supply) and, for frequencies between 16 Hz and 8 kHz, the nearest musical note name and octave — handy if you're using the 555 as an audio tone generator. Keep in mind the 0.693 constant (ln 2) assumes ideal component values and a clean 1/3–2/3 Vcc threshold; real capacitor tolerance (often ±20% for ceramics) and stray circuit capacitance will shift your actual frequency from this prediction, so breadboard and verify with a scope before locking in a fixed-frequency design.

Inputs

Results

Frequency (Hz)

138.75

Duty Cycle (%)

54.81

Frequency (kHz)0.14
Period (ms)7.21
High Time (ms)3.95
Low Time (ms)3.26
Avg Timing Current (mA)0.05
Period (µs)7,207.2
Nearest NoteC#3
How to Use This Calculator
  1. Enter the timing resistor values R1 and R2 (Ω) and timing capacitor value (nF) for your 555 circuit.
  2. Review the calculated output frequency (Hz and kHz), duty cycle (%), and period (ms).
  3. Adjust R1, R2, or C to tune frequency and duty cycle to your target values.
  4. Use the high-time and low-time outputs to verify timing against your circuit requirements.

How the result changes with Timing Capacitor (nF)

Timing Capacitor (nF)Frequency (Hz)Duty Cycle (%)
50277.554.81
7518554.81
15092.554.81
25055.554.81

What each input means

R1 - Timing Resistor (Ω)
R1 connects between Vcc and the discharge pin (pin 7). Min 1kΩ recommended.
R2 - Timing Resistor (Ω)
R2 connects between discharge (pin 7) and threshold/trigger (pins 6/2).
Timing Capacitor (nF)
Timing capacitor in nanofarads (1 µF = 1000 nF). Connects from threshold to ground.

What each result means

Frequency (Hz)
Output oscillation frequency: f = 1.44 / ((R1 + 2R2) × C).
Frequency (kHz)
Frequency in kilohertz for higher-speed applications.
Duty Cycle (%)
Percentage of time output is HIGH. Always >50% in standard astable mode.
Period (ms)
Total cycle time (t_high + t_low).
High Time (ms)
Time output is HIGH: 0.693 × (R1 + R2) × C.
Low Time (ms)
Time output is LOW: 0.693 × R2 × C.
Avg Timing Current (mA)
Approximate average current through timing resistors (at 5V Vcc).
Period (µs)
Period in microseconds for high-frequency applications.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    R1 - Timing Resistor (Ω) = 10000, R2 - Timing Resistor (Ω) = 47000, Timing Capacitor (nF) = 100 = 3 input(s) provided
  2. Calculate Frequency
    138.75 = 138.75
  3. Calculate Duty Cycle
    54.81 = 54.81
  4. Calculate Frequency
    Frequency = frequency / 1000
    0.1388 = 0.1388
  5. Calculate Period
    Period = period * 1000
    7.2072 = 7.2072

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why can't I get exactly 50% duty cycle out of this calculator?

In the standard 555 astable topology the timing capacitor always charges through both R1 and R2 in series but discharges through R2 alone, so the high time t_high = 0.693 × (R1+R2) × C can never be shorter than the low time t_low = 0.693 × R2 × C. That makes duty cycle mathematically bounded at 50% or above for any positive R1 — it's a limitation of the circuit itself, not a rounding artifact in this calculator. To get closer to a true square wave you'd need a diode across R2 to bypass it during charging, which is a different circuit than what this formula models.

What does the 'Nearest Note' output do, and why is it sometimes blank?

When the calculated frequency falls between 16 Hz and 8 kHz — roughly the low end of audible bass through the top of a soprano's range — the calculator maps it to the closest musical semitone using 12 × log2(frequency / 440) relative to A4 (440 Hz), then names that note and octave. Outside that range the field is left blank because it stops being musically meaningful; this is a convenience for hobbyists building 555-based tone generators or simple beepers, not a precision tuning tool.

How much will my real circuit's frequency differ from this calculated value?

The formulas assume the 0.693 (ln 2) charge/discharge constant exactly, which relies on the 555's internal comparators switching at precisely 1/3 and 2/3 of Vcc — real chips have some threshold variance, and capacitor tolerance is often the bigger factor, with ceramic capacitors commonly rated ±20% from their marked value. Stray PCB or breadboard capacitance adds further drift at higher frequencies. Expect single-digit-percent deviation at minimum with a decent capacitor, and always verify on a scope before locking in a fixed-frequency design.

What does the average timing current output actually represent?

It's an approximation of the steady current flowing through R1 and R2 from the supply rail, calculated as Vcc / (R1 + 2×R2) assuming a fixed 5V supply — it does not include the 555's own internal supply current or whatever current your output load draws from pin 3. It's mainly useful for a rough power-budget check on the timing network itself, not a full circuit current estimate.

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