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The Mathematics of Freestyle Speed: How the Total Immersion Formula Helps Master Swimming Tempo
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The Mathematics of Freestyle Speed: How the Total Immersion Formula Helps Master Swimming Tempo

Learn the P = (SPL × Tempo) + T(G) formula from Total Immersion method. Discover how to precisely control your swimming pace and plan races with second-level accuracy.

From Chaos to Control – Why Swimming Tempo Isn't Random

Most recreational swimmers approach training intuitively: "swimming faster = working harder." The Total Immersion (TI) method completely reverses this thinking. Instead of fighting the water, you learn to "outsmart" it through precise control of two variables: stroke count (SPL) and the tempo of each stroke.

Total Immersion founder Terry Laughlin developed a simple mathematical formula that allows you to predict your time for any distance with second-level accuracy – no guessing, no "feeling."

The TI Speed Formula – Decoded

The basic relationship looks like this:

P(PL) = (SPL × Tempo) + T(G)

Where:

  • P(PL) – Pace per Pool Length (time for one pool length)
  • SPL – Strokes Per Length (stroke count per length)
  • Tempo – seconds per stroke (cycle)
  • T(G) – Time of Glide (glide time after pushing off the wall)

Practical Example – 25-Meter Pool

Let's assume a standard glide time T(G) = 3 seconds. Here's how different SPL and Tempo combinations translate to the same 20-second time per length:

Time (sec)SPL (strokes)Tempo (sec/stroke)
20151.13
20161.06
20171.00
20180.94

What does this mean in practice? You can swim at an identical pace of 20 sec/25m, but in completely different ways:

  • 15 strokes at 1.13s tempo – long, smooth stroke, high efficiency
  • 18 strokes at 0.94s tempo – shorter stroke, faster frequency

Which version is better? It depends on the distance and your predispositions. But the key is that both produce the same result – and you can consciously train both.

From 25 Meters to 100 Meters – How to Calculate Pace

Time for a single pool length is just the beginning. Most swimmers think in terms of 100 meters or pace per minute. Here's how to convert:

Simple Calculation

100m time ≈ (25m time × 4) + turn correction

For recreational swimmers, turns add about 1-2 seconds each (3 turns per 100m). For skilled swimmers with flip turns – practically zero.

Conversion Table: 25m → 100m → pace/100m

Time/25mTime/100m (no flip turn)Time/100m (with flip turn)Pace min:sec/100m
18 sec~1:17~1:121:12 - 1:17
20 sec~1:25~1:201:20 - 1:25
22 sec~1:33~1:281:28 - 1:33
25 sec~1:45~1:401:40 - 1:45
30 sec~2:05~2:002:00 - 2:05

What Does This Mean for Your Training?

Going back to our SPL × Tempo table example:

  • 20 sec/25m translates to a pace of about 1:20-1:25/100m
  • This pace allows you to swim 1000m in ~13:20-14:10
  • Or 1500m (standard triathlon distance) in ~20:00-21:15

Knowing this relationship allows you to plan realistic race goals. If you want to swim 1500m under 30 minutes, you need a pace of about 2:00/100m, which means 30 seconds per length – and now you know exactly which SPL × Tempo combinations make that possible.

Why a Swimming Metronome Changes the Game

Without an external signal, maintaining a steady tempo is nearly impossible. Your brain naturally "wanders" – sometimes speeding up, sometimes slowing down, often without you even knowing.

A tempo trainer (swimming metronome) solves this problem. You set a tempo, for example 1.10 seconds per stroke, and get an audio or vibration signal with each cycle. Your task? Synchronize your stroke with the signal.

The result? After a few weeks of training with a metronome:

  • Your body "remembers" the exact tempo
  • You can maintain a steady speed without looking at your watch
  • You can consciously manipulate SPL and Tempo to achieve your target time

How to Use the Formula in Training

Step 1: Measure Your Baseline Values

Swim 4×25m at a comfortable pace. Count strokes (SPL) on each length. Measure time.

Step 2: Calculate Your Current Tempo

Tempo = (Time per length – Glide time) ÷ SPL

Example: You swim 25m in 22 seconds, take 16 strokes, glide lasts ~3 seconds.

Tempo = (22 - 3) ÷ 16 = 1.19 sec/stroke

Step 3: Set the Metronome and Train

Start with your current tempo. For several workouts, focus solely on synchronizing with the signal while maintaining the same stroke count.

Step 4: Gradually Speed Up

Reduce tempo by 0.02-0.03 seconds. Can you maintain the same SPL? If yes – you just swam faster without additional effort.

The "Green Zone" Concept – Your Effective SPL Range

Total Immersion introduces the concept of the Green Zone – the optimal SPL range for your height. This is the stroke count at which your technique is most efficient.

Approximate Green Zone values for freestyle in a 25m pool:

  • Height 160-170 cm (5'3"-5'7"): 15-19 SPL
  • Height 170-180 cm (5'7"-5'11"): 14-18 SPL
  • Height 180-190 cm (5'11"-6'3"): 13-17 SPL
  • Height >190 cm (>6'3"): 12-16 SPL

If your SPL is significantly higher than the Green Zone for your height, you have room for technique improvement (balance, torso rotation, streamline). If it's within range – focus on tempo training.

Practical Training Set with the TI Formula

Warm-up: 200m freestyle, counting strokes

Main set:

  • 4×50m @ Tempo 1.20 – goal: maintain steady SPL
  • 4×50m @ Tempo 1.15 – does SPL increase? By how much?
  • 4×50m @ Tempo 1.10 – comfort limit

Rest: 10 metronome "beeps" between sets (instead of looking at the clock)

Cooldown: 100m with maximum stroke length, no metronome

BeatBuddy Pro – Next-Generation Metronome for TI Swimmers

Classic tempo trainers offer one tempo per workout. BeatBuddy Pro goes further – you can program an entire interval series: 30 seconds @ 1.20, then 30 seconds @ 1.15, then 30 seconds @ 1.10.

Additionally, you get triple feedback: piezo sound, vibration, and LED signal. In a noisy public pool, you can rely on vibration; in calm open water – on sound.

Integration with Garmin watches via Bluetooth Low Energy is already available, and ANT+ protocol support is currently in development. This will enable even broader compatibility with the Garmin ecosystem and training data synchronization with the BeatBuddy Lens app.

Try our Swimming Pace Calculator to instantly calculate your pace using the Total Immersion formula. Enter your SPL and Tempo to see your predicted times for any distance.

Summary: Mathematics, Not Magic

The Total Immersion formula isn't theory – it's a practical tool. Knowing the relationship P = (SPL × Tempo) + T(G) allows you to:

  • Precisely plan race pace
  • Consciously work on stroke efficiency
  • Eliminate guesswork from training

A swimming metronome is your partner in this process. Without it, the formula remains just numbers on paper. With it – it becomes a tool for transforming your swimming.


Article created in collaboration with Total Immersion coaches. Graphics represent original materials from totalimmersion.net.

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