Watch Amplitude Decay Calculator for Power Reserve and Balance Wheel Health
The first and only free amplitude decay calculator for mechanical watch movements. Three modes: Quick (full wind vs current reading), Positional (dial-up vs crown-up spread assessment), and Multi-Session (log up to 8 readings across the power reserve cycle). Automatically detects overbanking risk above 330°, low-reserve stopping risk below 180°, and abnormal positional spread above 60°. Uses verified amplitude thresholds from Rotate Watches, H2i.ch, and SJX Watches. AWCI-referenced standards for US watchmakers.
Enter amplitude readings from your timegrapher to instantly compute the decay rate, health zone, overbanking or low-reserve risk, and projected end-of-reserve amplitude.
Watch Amplitude: The Single Most Revealing Number on Your Timegrapher Display
Of the three numbers a timegrapher shows you, amplitude is the one that most directly reflects the mechanical health of the entire movement. Rate tells you how fast or slow the balance oscillates. Beat error tells you how symmetrically it oscillates. But amplitude tells you how much energy actually reaches the balance wheel from the mainspring, through every gear, jewel, and pivot in between. A watch with excellent rate and low beat error can still have critical amplitude, and that combination means one thing: the movement is running on borrowed time before it stops. Every problem in the power delivery chain from the mainspring coils to the escape wheel leaves a signature in the amplitude number. Dried lubricants that have thickened or gummed? Amplitude drops. A mainspring that has permanently set and lost elasticity? Amplitude drops. Worn barrel arbor bearings that allow the barrel to cock sideways? Amplitude drops. Damaged pivot jewels in the gear train that increase friction? Amplitude drops. A bent pivot on the third wheel? Amplitude drops in specific positions. The movement on your timegrapher is telling you exactly how healthy its entire power delivery system is, in a single number in degrees.
The Amplitude Formula: How Your Timegrapher Computes the Number
/* H2i.ch Glossary (2023); WahaWatches lift angle guide (2022) */
A = (3600 x lift_angle) / (t13 x PI x BPH)
/* Where: */
lift_angle = escape wheel lift angle in degrees (caliber-specific)
t13 = time between 1st and 3rd escapement pulse (seconds)
BPH = beats per hour of the movement
/* Example: ETA 2824, lift_angle=50°, t13=0.0073s, BPH=28800 */
A = (3600 x 50) / (0.0073 x 3.14159 x 28800)
A = 180,000 / 661.1 = 272°
/* AMPLITUDE DECAY RATE: */
decay_rate = (A_initial – A_current) / elapsed_hours /* deg/hr */
pct_retained = (A_current / A_initial) x 100 /* % */
/* PROJECTED END AMPLITUDE (linear extrapolation): */
A_end = A_initial – (decay_rate x power_reserve_hours)
/* Note: Real decay is faster near end of reserve; linear projection is conservative */
Why Amplitude Decreases Across the Power Reserve
A fully wound mainspring delivers its maximum torque output to the barrel wheel and gear train. As the spring uncoils, the torque it can deliver decreases in a roughly exponential fashion. Because the pallet fork requires a minimum amount of torque from the escape wheel to push the balance wheel past its rest position and set it in full oscillation, there is a minimum threshold of mainspring energy below which the balance amplitude drops below the safe operating range. In a well-designed, freshly serviced movement, this threshold is not reached until the last 10 to 20 percent of the power reserve. In a movement with dirty lubricants, a worn mainspring, or damaged gear train components, that threshold may be reached at 60 or 70 percent of the stated power reserve, explaining why a 42-hour watch effectively runs accurately for only 28 or 30 hours before rate accuracy begins to suffer. As Kapoor Watch documented in April 2026, lower amplitude at the end of the power reserve directly causes the watch to run faster in the final hours, because a lower balance arc means the hairspring’s isochronism is tested at smaller amplitudes where its linearization is less precise. This rate variation across the power reserve is the fundamental reason why well-serviced movements with high consistent amplitude keep better time on the wrist than degraded movements with low or rapidly declining amplitude.
Verified US Watchmaking Amplitude Thresholds for Modern and Vintage Movements
Modern Automatic Movements (21,600-28,800 BPH) – Horizontal Positions
| Amplitude Range | Zone | Interpretation | Required Action | Source |
|---|---|---|---|---|
| 330° and above | Overbanking Risk | Pallet fork risks striking opposite banking pin during some oscillations | Inspect escapement immediately. Check banking pin clearance. | SJX Watches (2020); AWCI escapement training |
| 290 – 329° | Excellent | Optimal horizontal amplitude. Clean, efficient power delivery from mainspring to balance. | No action. Log as baseline for future comparison. | Rotate Watches (Sept 2025); H2i.ch (2023) |
| 270 – 289° | Good | Normal healthy range for daily wear. Good energy delivery through the gear train. | No action required. Continue monitoring at scheduled service intervals. | Rotate Watches (Sept 2025) |
| 250 – 269° | Acceptable | Toward lower end of normal. May indicate early lubricant degradation or partial mainspring set. | Note and monitor. Flag for attention at next scheduled service. | Rotate Watches (Sept 2025); Adjusting Vintage Watches |
| 220 – 249° | Low | Lubricant degradation, mainspring set, or worn components likely. Rate accuracy may be affected. | Service recommended. Full clean-ultrasonic and fresh lubricants likely needed. | Adjusting Vintage Watches; H2i.ch (2023) |
| Below 220° | Critical | Severely degraded power delivery. Watch may stop erratically, especially in vertical positions. | Service urgently required. Do not defer. Check mainspring, barrel, and gear train thoroughly. | Rotate Watches (Sept 2025); AWCI service standards |
Modern Automatic – Vertical Positions (CU, CD, CL, CR)
| Amplitude Range | Zone | Interpretation | Action |
|---|---|---|---|
| 250 – 300° | Excellent | Strong vertical amplitude. Excellent positional performance expected. | No action. |
| 220 – 249° | Good | Normal vertical range. 40-60° below horizontal is typical. | No action if spread from DU is within 40-60°. |
| 200 – 219° | Acceptable | Acceptable vertical but on the lower side. Monitor positional rate variation. | Note and monitor. Flag at next service if worsening. |
| 180 – 199° | Low | Low vertical amplitude. Stopping risk at low power reserve in vertical orientation. | Service recommended. Check poise and pivot condition. |
| Below 180° | Critical | Watch at risk of stopping in vertical positions, especially near end of power reserve. | Service urgently required. |
Source: Rotate Watches (September 2025). “Fully wound horizontals commonly read 270 to 310 degrees on modern everyday calibres. Verticals often land 220 to 270 degrees at full wind. A healthy spread from best to worst position often sits around 40 to 60 degrees. Larger gaps hint at friction or poise issues.” Source: rotatewatches.com/blogs/blog/what-is-amplitude-in-mechanical-watch.
Typical Full-Wind Amplitude by Common US Movement Calibers
| Caliber | BPH | Typical Full Wind DU | Low Reserve DU (est.) | Power Reserve | Source |
|---|---|---|---|---|---|
| ETA 2824-2 / Sellita SW200 | 28,800 | 285-295° | 220-235° | 38-40 hr | Rotate Watches; Crown Vintage |
| ETA 2892-A2 | 28,800 | 285-295° | 225-240° | 42 hr | CaliberCorner; community reports |
| Miyota 82-series | 28,800 | 270-290° | 200-220° | 40-42 hr | Rotate Watches; WatchUSeek |
| Miyota 9015 | 28,800 | 275-290° | 210-230° | 42 hr | Rotate Watches; community data |
| Seiko NH35 / NH36 | 21,600 | 265-285° | 195-215° | 41 hr | Rotate Watches (2026) |
| Seiko 6R35 | 21,600 | 275-290° | 210-230° | 70 hr | Seiko specification; community |
| Rolex Cal. 3135 | 28,800 | 305-320° | 240-260° | 48 hr | SJX Watches (2020); Crown Vintage |
| ETA Valjoux 7750 | 28,800 | 265-285° | 200-220° | 42 hr | Community bench reports; CaliberCorner |
| Generic Vintage 18K BPH (pocket) | 18,000 | 240-270° | 170-200° | 30-36 hr | Adjusting Vintage Watches; AWCI vintage standards |
Note: Actual amplitude varies by individual specimen condition, lubrication state, and mainspring wear. Values shown represent typical ranges for freshly serviced, healthy movements. Sources: Rotate Watches (September 2025); CaliberCorner.com; SJX Watches movement analysis database (2020); Crown Vintage Witschi WAIO testing data (2026); community-reported bench readings on WatchUSeek and r/watchmaking.
Three Real US Watchmaker Scenarios: Diagnosing Amplitude Decay in Practice
Post-Service Amplitude Verification: ETA 2824-2 After Full Service
A second-year student at the Texas Institute of Jewelry Technology (TIJT), one of the ten AWCI-recognized US watchmaking schools, has completed a full service on an ETA 2824-2 movement: complete disassembly, cleaning in an ultrasonic cleaner, fresh lubricants at all service points per ETA technical guidelines, and reassembly. Before returning the watch to the customer, the student performs a complete multi-position amplitude verification to confirm the service quality meets AWCI standards. The timegrapher is a Witschi Expert with lift angle set to 50° for the ETA 2824.
Post-service readings at full wind:
Dial Up (DU): 292° – EXCELLENT
Dial Down (DD): 280° – Good
Crown Up (CU): 255° – Good
Crown Left (CL): 248° – Good
Crown Right (CR):251° – Good
Positional spread (DU – best vertical = DU – CU):
292° – 255° = 37° spread – Normal (40-60° typical; 37° is excellent)
After 20 hours (checked next day):
DU amplitude: 261° | Decay: 292-261 = 31° | Rate: 31/20 = 1.55 °/hr
Projected at 40h PR: 292 – 1.55×40 = 230° (within acceptable range)
Diagnosing Rapid Amplitude Decay: Vintage Hamilton 992B in a Collection
A NAWCC member and private collector in Denver has a cherished Hamilton 992B railroad pocket watch from the 1940s that has been running well by the display but has begun stopping overnight when placed in a vertical position in the watch stand. The collector takes the movement to a local AWCI-certified watchmaker, who places it on a timegrapher immediately after full winding and begins logging amplitude readings every few hours to map the decay curve. The 992B runs at 18,000 BPH.
Multi-session amplitude log (dial up position):
0h: 268° – Full wind baseline (acceptable vintage range)
4h: 248° – Still acceptable, 20° lost
8h: 218° – Low (rapid 50° total drop in 8h)
12h: 185° – Critical – approaching stopping threshold
16h: Watch stopped
Decay analysis:
Overall rate 0-12h: (268-185) / 12 = 6.9 °/hr (VERY HIGH – Critical zone)
Phase 0-4h rate: (268-248) / 4 = 5.0 °/hr
Phase 4-8h rate: (248-218) / 4 = 7.5 °/hr (accelerating – classic mainspring issue)
Phase 8-12h rate: (218-185) / 4 = 8.25 °/hr (further acceleration)
Projected reserve: 268 / 6.9 ≈ 15-16h (stated reserve: 30h)
Stopping: amplitude fell below 160° at approximately 15-16h elapsed
Overbanking Detection: High Amplitude After Enthusiast Service on a Miyota 9015
A watch enthusiast in New York has serviced their own Miyota 9015 movement for the first time using a hobbyist watchmaking kit. After reassembly, they place the movement on a Weishi 1000 timegrapher set to 28,800 BPH and 49° lift angle (per Miyota spec). They are excited to see what they think is a high amplitude reading, not realizing it indicates a problem rather than excellent performance.
Post-service readings (full wind):
Dial Up (DU): 338° – OVERBANKING RISK ZONE
Crown Up (CU): 312° – High (suspicious for vertical)
Expected healthy range for Miyota 9015 DU:
Healthy full wind: 275-290°
Current reading: 338° (48 degrees ABOVE upper healthy limit)
Overbanking threshold: >= 330°
Assessment: Possible mainspring issue (over-strong or wrong replacement),
pallet fork banking adjustment error, or timegrapher calibration issue
Risk: Pallet fork striking opposite banking pin; escapement lock errors
Six Expert Tips for Tracking Amplitude Decay in US Watchmaking Practice
A single amplitude reading at full wind tells you where the movement is now. A before-and-after pair from the same movement at the same wind state tells you what the service accomplished. AWCI-trained watchmakers document pre-service amplitude as standard practice because it establishes the diagnostic baseline (how degraded was the movement when received) and the post-service verification (was the target amplitude range achieved after fresh lubricants and mainspring evaluation). If you receive a movement with 245° amplitude, service it, and it leaves with 287° amplitude, that 42° improvement is objective evidence of the service value. If post-service amplitude is still 245°, the mainspring, barrel arbor bearings, or escapement components require further investigation. As Adjusting Vintage Watches recommends, the target minimum for watches in good mechanical condition is 270° horizontal and 220° vertical; any serviced movement should achieve these benchmarks before leaving the bench.
While dial-up (DU) amplitude is the standard benchmark position for caliber specifications, crown-up (CU) and crown-down (CD) amplitude tell you more about the movement’s health under the conditions it actually experiences on the wrist. When the crown points up (the most common wrist position during wear for a right-hand wearer), gravity acts on the balance wheel and gear train in a way that exposes any friction increase, poise error, or pivot wear that the horizontal position masks. A movement that reads 285° in DU but only 190° in CU is showing a positional spread of 95°, far above the normal 40-60° range. That gap is a precise diagnostic indicator: values this extreme point to poise errors in the balance wheel (heavy side pulling down under gravity), worn or damaged pivots in the balance staff or gear train, or a bent balance staff causing the balance to run off-axis in vertical orientations. Rotate Watches (September 2025) documented this specifically, noting that positional spread above 60° warrants investigation and spread above 80° strongly suggests service needs that pure rate or horizontal amplitude readings would not reveal.
Watch manufacturers recommend service intervals in calendar time (every 3-5 years for modern automatic watches, every 3-7 years for vintage mechanical watches per AWCI guidelines), but calendar time is a crude proxy for the actual mechanical condition of the movement. A watch worn daily in a humid environment with a rotor spinning frequently develops lubricant degradation much faster than the same model worn occasionally in a controlled indoor environment. Amplitude decay rate gives a direct measurement of how well the movement is preserving its stored energy, independent of calendar time. A modern automatic with a decay rate above 4°/hr at one-third of its power reserve is showing signs of lubricant breakdown or mechanical wear regardless of when it was last serviced. A vintage movement with a decay rate below 2°/hr across its full 30-hour reserve is running cleanly regardless of the date on its last service record. Track amplitude at consistent intervals (say, every 8-12 hours) to build a decay curve for each watch in your collection or service rotation, and use that curve rather than the calendar to determine actual service timing.
Unlike beat error, which is a direct measurement independent of timegrapher settings, amplitude is a calculated estimate that depends critically on the lift angle entered on the timegrapher. The lift angle is a caliber-specific geometric property of the escapement (the angle the balance wheel rotates while the escape wheel tooth is lifting the pallet stone). Entering the wrong lift angle can cause your amplitude reading to be off by 15-25 degrees or more. For example, the Omega Co-Axial caliber 8500 uses a lift angle of approximately 38°, not the default 52°. Setting the timegrapher to 52° for this movement gives an amplitude reading roughly 18 degrees higher than the true value, potentially masking a low-amplitude condition. The caliber database in this calculator lists the correct lift angle for reference alongside the BPH. For movements not in the database, the manufacturer’s technical specification sheet is the authoritative source. If you cannot locate the specification, the practical check is to mark the balance arm and increase power until the balance just achieves 180°, then adjust the lift angle setting until the timegrapher reads 180°. This calibration method is documented in the WahaWatches lift angle guide (2022) and Escapement.watch (2026).
A common misunderstanding in watch enthusiast communities is that a high amplitude reading at full wind means the watch is in excellent condition overall. Amplitude at full wind is a necessary but insufficient indicator of health. What matters for practical accuracy is how amplitude behaves across the entire power reserve. As Kapoor Watch documented in April 2026, in movements with shorter effective reserves (due to degraded lubricants or a worn mainspring), amplitude drops rapidly in the second half of the reserve, causing the balance to oscillate at increasingly short arcs where the hairspring’s isochronism is less precise, leading to rate variation. The watch may read +2 s/day at full wind and +12 s/day at 75% reserve depletion, appearing to be a well-regulated watch to someone who only checks it after winding. Multi-session amplitude tracking, as supported by this calculator, reveals whether the movement is maintaining adequate amplitude across the full stated power reserve or whether it is effectively running out of power well before the manufacturer’s specification. The comparison of projected end amplitude against the 220° service threshold is the actionable metric for service decisions.
American railroad-grade pocket watches from Hamilton, Waltham, Illinois, Elgin, and Ball running at 18,000 BPH operate with different amplitude expectations than modern wristwatches. Their lower beat frequency means a longer half-period and a different mainspring torque-to-amplitude relationship. Where a healthy ETA 2824 might produce 290° at full wind, a healthy Hamilton 992B or Waltham Model 1908 typically produces 250-270°, and these lower numbers are appropriate and expected for these movements in good condition. AWCI training materials for vintage movement service specify that the minimum acceptable amplitude for a vintage pocket watch in horizontal position after service is 240°, substantially lower than the 270° minimum for a modern automatic. At the same time, amplitude decay rates for vintage pocket watches in original condition may legitimately be higher (4-8°/hr) than for freshly serviced modern movements (1-3°/hr) because vintage movements rarely achieve the lubrication quality of a fresh service and their barrel arbor bearings are often worn. When evaluating a vintage movement, always apply the vintage threshold mode in this calculator and compare the reading not against modern auto benchmarks but against the AWCI and NAWCC vintage movement service standards appropriate for the specific caliber. The NAWCC’s Martin Luther Archival Library at Columbia, Pennsylvania, maintains original factory service manuals for all major American pocket watch manufacturers.
Quick Reference: Amplitude Thresholds, Decay Rates, and Key Formulas
| Parameter | Value / Threshold | Significance | Source |
|---|---|---|---|
| Modern auto excellent DU | 290-329° | Optimal horizontal amplitude | Rotate Watches (Sept 2025) |
| Modern auto good DU | 270-289° | Normal healthy range | Rotate Watches (Sept 2025) |
| Modern auto service threshold | Below 220° DU | Service urgently required | Adjusting Vintage Watches; H2i.ch (2023) |
| Overbanking risk | At or above 330° | Escapement inspection required | SJX Watches (2020); AWCI training |
| Low reserve self-start min | 180° in any position | Below this, stopping risk at low reserve | H2i.ch (2023); Adjusting Vintage Watches |
| Normal positional spread | 40-60° (DU minus best vert) | Normal healthy variation | Rotate Watches (Sept 2025) |
| Elevated positional spread | 60-80° | Check poise and pivots | Rotate Watches (Sept 2025) |
| High positional spread | Above 80° | Service investigation required | Rotate Watches (Sept 2025) |
| Vintage pocket watch DU acceptable | 230-270° | Normal for 18,000 BPH vintage movement | AWCI vintage standards; Adjusting Vintage Watches |
| Normal decay rate (modern) | 1.0-2.5°/hr | Healthy, freshly serviced movement | Community bench data; Kapoor Watch (2026) |
| Elevated decay rate | 2.5-4.0°/hr | Early lubricant or mainspring degradation | Kapoor Watch (April 2026) |
| High decay rate | 4.0-6.0°/hr | Service advisable; power delivery impaired | de Carle (1965); AWCI service standards |
| Critical decay rate | Above 6.0°/hr | Urgent service required | AWCI service standards; watchmaking bench practice |
| Amplitude formula | A = (3600 x lift) / (t13 x PI x BPH) | Acoustic timegrapher calculation | H2i.ch (2023); WahaWatches (2022) |
| AWCI service interval | Every 3-5 years modern; 3-7 years vintage | Calendar guideline; amplitude data is better | AWCI.com service recommendations |
16 Frequently Asked Questions About Watch Amplitude and Amplitude Decay
Related Horology Hub and Precision Tools
Amplitude is one of three essential timegrapher readings. These Horology Hub tools cover the complete movement assessment toolkit for US watchmakers and collectors.
This calculator applies amplitude decay formulas derived from standard horological engineering: decay_rate = (A_initial – A_current) / elapsed_hours; A = (3600 x lift_angle) / (t13 x PI x BPH) per H2i.ch (2023) and WahaWatches (2022). Amplitude thresholds for modern movements are based on published values from Rotate Watches (September 2025), Adjusting Vintage Watches, and H2i.ch (2023). Overbanking threshold of 330° is per SJX Watches (January 2020) and AWCI escapement training consensus. Decay rate zones represent general bench practice guidelines, not manufacturer specifications. Projected end amplitude uses linear extrapolation, which underestimates actual late-reserve decay rate (real decay accelerates near end of reserve). All amplitude readings are estimates dependent on correct lift angle setting and calibrated timegrapher. For compliance-grade documentation or professional service decisions, measurements should be taken with calibrated instruments by an AWCI-certified watchmaker. USCalculators.com is not affiliated with AWCI, NAWCC, Witschi, or any movement manufacturer. Last reviewed September 2026.