Sleep Cycle Calculator - Find the Best Time to Sleep & Wake Up
Calculate optimal bedtime and wake-up times based on 90-minute sleep cycles. Align your alarm with REM phases to wake up refreshed.
Calculating from the current time...
Sleep Architecture Preview
About
Waking mid-cycle - during deep N3 or REM sleep - produces sleep inertia: grogginess, impaired cognition, and elevated cortisol that can persist for 30 - 60 minutes. Each human sleep cycle averages 90 min and repeats 4 - 6 times per night, cycling through stages N1, N2, N3 (slow-wave), and REM. This calculator factors in an average sleep onset latency of 14 min (the time a healthy adult needs to transition from wakefulness to N1) and computes alarm or bedtime targets that coincide with the end of a complete cycle - the lightest sleep phase, where arousal threshold is lowest.
The tool assumes fixed 90-minute cycles. In practice, early cycles are dominated by slow-wave sleep (70 - 100 min) while later cycles shift toward REM (90 - 120 min). Individual variation is significant: cycle length, onset latency, and chronotype all differ. Treat these times as starting approximations, not prescriptions. The National Sleep Foundation recommends 7 - 9 hours for adults aged 18 - 64.
Formulas
The wake-up or bedtime target is computed by stepping through complete 90-minute cycles, offset by an average sleep onset latency of 14 min.
Where Tsleep is the moment you intend to go to bed, Twake is the desired alarm time, L = 14 min is the mean sleep onset latency for healthy adults, and n ∈ {3, 4, 5, 6} is the number of complete cycles. Each cycle consists of N1 → N2 → N3 → N2 → REM, averaging 90 min. The calculator evaluates all four values of n and flags n = 5 or n = 6 as optimal for adults.
Reference Data
| Cycles | Sleep Duration | Total (with onset) | Rating | Dominant Late-Phase |
|---|---|---|---|---|
| 1 | 1 h 30 min | 1 h 44 min | Nap (emergency) | N2 / light SWS |
| 2 | 3 h 0 min | 3 h 14 min | Minimal rest | SWS-heavy |
| 3 | 4 h 30 min | 4 h 44 min | Poor - sleep debt accrues | SWS → early REM |
| 4 | 6 h 0 min | 6 h 14 min | Adequate (short sleepers) | Balanced SWS / REM |
| 5 | 7 h 30 min | 7 h 44 min | Good - recommended | REM-dominant |
| 6 | 9 h 0 min | 9 h 14 min | Optimal - full recovery | Extended REM |
| Sleep Stage Reference | ||||
| Stage | Characteristics | % of Night | EEG Pattern | |
| N1 | Light sleep, hypnic jerks, easy arousal | 5% | θ waves (4-7 Hz) | |
| N2 | Sleep spindles, K-complexes, body temp drops | 45% | σ bursts (12-14 Hz) | |
| N3 (SWS) | Deep sleep, growth hormone release, tissue repair | 25% | δ waves (0.5-2 Hz) | |
| REM | Dreaming, memory consolidation, muscle atonia | 25% | Desynchronized (mixed) | |
| Age-Based Sleep Recommendations (NSF) | ||||
| Age Group | Recommended Hours | Min Cycles | Max Cycles | |
| Newborn (0-3 mo) | 14 - 17 h | 9 | 11 | |
| Infant (4-11 mo) | 12 - 15 h | 8 | 10 | |
| Toddler (1-2 y) | 11 - 14 h | 7 | 9 | |
| Preschool (3-5 y) | 10 - 13 h | 7 | 9 | |
| School (6-13 y) | 9 - 11 h | 6 | 7 | |
| Teen (14-17 y) | 8 - 10 h | 5 | 7 | |
| Adult (18-64 y) | 7 - 9 h | 5 | 6 | |
| Older Adult (65+ y) | 7 - 8 h | 5 | 5 | |