Introduction to Rise and Fall

Rise and Fall is one of the most iconic and misunderstood aspects of ballroom dancing.

It’s not just “going up and down” — it’s a carefully coordinated change in vertical height that serves musical expression, body mechanics, and partner connection.

Done well, Rise and Fall creates:

  • Smooth, flowing movement
  • Natural swing and suspension
  • A sense of grace, effortlessness, and three-dimensional texture

Done poorly, it creates:

  • Bouncing
  • Sudden push-pull's
  • Risk of falling over
  • A really bad experience for the follower (who will mention that).

But beneath the beauty lies biomechanics. Rise and Fall is the result of forces, levers, and timing — not just style.

In this section, we break down:

  • The mechanical types of rise and fall
  • When and how they are used
  • And how the physics explains what the books meant to say

Graph of rise and fall in ballroom dance

Let’s begin where the books usually don’t: what “rise” actually is".

  1. Leg Rise

    • Achieved by straightening the knee, raising the vertical distance from the hips to the floor
    • Lowering occurs via knee bend Note that Leg Rise and Fall always changes the vertical elevation of the hips and therefore body.
  2. Foot Rise / Foot Lower

    • Foot Rise: Lifting the heel off the floor
    • Foot Lower: Lowering the heel back toward the floor

    Note that Foot Rise only change the elevation of the hips if the knees bend does not change.

> 🧨 **There is NO BODY RISE! It's a myth.:** > **There is no such thing as 'body rise'. It's a total myth. The knees and foot move the HIP it's elevation from the floor and everything above it has to come with it.** Aside from anything else, if we are standing straight there is nowhere to rise from. **If it's "Body Rise" why not call it "Head Rise"? Or "Left Ear Rise"?** This is not opinion — it's a **law of physics**.

“You can’t rise if you haven’t lowered.” — The First Rule of Rise and Fall

But, How Much Rise?

That is a good question since different figures and styles will require different amounts of Foot and Leg rise. Since Leader instigates the amount of Rise and Fall for the Follower, the Leader can still have more Foot Rise than the follower.

For Example, the Feather Step

Where the Leader has HT, T, TH footwork and the Follower has TH, TH, TH. While that is seemingly impossible to accomplish if Leader does not instigate any leg rise there will be no hip elevation for the Leader and Follower. Follower will then dance the TH, TH and then a final TH since that's the only possible step. Leader can instigate as much Foot Rise as they want, hence they can dance HT, T, TH which gives a better aesthetic and more power. If it were 3 forward H, H, H steps it would look like Tango. Read more about Rise and Fall in the Feather Step.

The Function of Lowering in Rise and Fall

In Standard and Smooth dances, the action of lowering before rising is not just aesthetic — it is biomechanically and communicatively essential.

There are three critical roles that the Leader’s lowering action plays, particularly during Beat 1 of, for example a, Waltz measure.

1. Initiate: Signaling the Follower to Prepare

“We are about to move — begin extending your free leg.”

  • Through frame and body contact, the Follower senses a controlled descent from the Leader.
  • This lowering:
    • Begins the extension of the appropriate leg.
    • Serves as a non-verbal preparation signal before travel commences.

2. Optimize: Reduce Muscular Effort Through Lowering

When you lower in dance, your legs don't just go along for the ride — they work to control the descent. This uses a special kind of muscle action called eccentric contraction — where the muscles lengthen while under tension.

This doesn't store energy like a spring, but it does:

  • Absorb and control your momentum, keeping you stable
  • Prepare your structure for a smoother, more coordinated rise
  • Engage the right muscles early, setting up better timing and alignment

Think of it like using the brakes while rolling downhill — not to stop, but to stay in control before the next push.

Lowering doesn’t store energy — it reduces how much energy you'll need to spend.


3. Creating Room to Rise: Why We Lower First

If your legs are already straight and your heels are down, you’ve got one tool left: foot rise. That’s it.

But when you lower — by bending the knees — you unlock a greater vertical range. Now you can use:

  • Leg rise (straightening the knees)
  • Foot rise (lifting the heels)
  • Or both, in whatever combination the dance requires

This extra range:

  • Makes rise feel smooth and unforced
  • Gives you more control over where and how height changes happen
  • Is essential in dances like Waltz and Quickstep where rise develops gradually across multiple beats.

📌 Note: In Tango, we stay level — no rise, no fall. Just compression, precision, and very flat feet.

🧠 Summary Table

Function Description
Initiate Begins the movement cycle and signals timing for the Follower.
Control Uses the lowering phase to manage momentum and engage support muscles.
Create Range Increases available vertical space by bending the knees, enabling leg and foot rise.

“You can’t rise if you haven’t lowered.” — The First Rule of Rise and Fall

⏱️ Anticipating Beat 1: Timing the Lowering Action

❗ Why This Matters

In Waltz, Foxtrot and Quickstep, Beat 1 is both a musical anchor and a movement initiation point. However:

If a dancer waits until they hear beat 1 to begin lowering, they are already too late.

🧠 Human Reaction Time

The total latency between hearing a beat and initiating muscular action is approximately:

  • 150–250 milliseconds
    (Auditory processing + motor planning + neuromuscular response)

In a Waltz at 90 bpm:

  • Each beat lasts ~666 ms
  • So reacting on beat 1 means movement doesn’t start until 25–40% of the beat has already passed.

Result? ❌ Late lowering. ❌ Late rise. ❌ Late everything.


✅ The Solution: Predictive Entrainment

Wait, Entrainment what? Predictive Entrainment is when your body or brain begins to subconsciously synchronize with a rhythm before the event happens — because it expects it to.

It’s how you start preparing for the music's next beat before it arrives — without even thinking about it.

In ballroom, this shows up when:

  • A Follower starts to extend their free leg slightly before the actual lead (because they’re entrained to the timing and pattern)

  • A Leader begins rotating their frame just before a turning figure begins

  • Both partners rise smoothly into 2 and 3 in Waltz, because the brain predicts the phrasing, not because it's reacting

Entrainment definition Predictive entrainment is the anticipatory alignment of motor output with rhythmic sensory input based on temporal pattern recognition.

Skilled dancers do not wait for the beat — they predict it based on the final measure of the previous phrase.

“B-3… B-2… B-1… NOW.”

This enables them to:

  • Begin lowering slightly before beat 1.
  • Complete the fall by the end of beat 1.
  • Be ready to continue to rise on beat 2 and subsequent beats.

This practice is called entrainment — synchronizing internal motor timing with external rhythmic structure.


🎓 Teaching Cue

“Don’t dance to the beat — dance ahead of it.”

“Lowering starts before beat 1 — not because you’re early, but because you’re human.”


🧪 Visualizing the Timeline

Phase Approx Time Description
Beat n-1 ~666 ms before Last beat of previous measure
Predictive Lowering -200 to 0 ms Dancer begins lowering before beat 1
Beat 1 (Music) 0 ms The moment the beat is heard
Neural Processing +150 ms Brain identifies signal
Motor Activation +200–250 ms Muscles begin to move
Too Late +300 ms If you waited to start here, you're behind

🧭 Final Rule:

"To be on time, you must begin early."
The beat is not a signal to start — it’s the target you must already be in motion toward.

The Lowest Shared Point

The vertical minimum (-dy) at the end of Beat 1 is the lowest point in the couple's shared descent.

This point is not determined by the most skilled dancer — but by the one who can lower the least without collapse.

In a partnership:

  • Rise & Fall must remain in harmony.
  • The lowering depth must be shared and matched.
  • Going deeper than your partner can maintain will break connection and may cause an actual injury. Dancing is always better when nobody gets hurt.

"You cannot rise together until you have agreed on how far to fall together."

What are we 'Rising'?

Good Question! We are raising the vertical height of the hips with relation to the floor.

🧮 Vertical Hip Displacement (Y_hips) in Waltz — Steps 1, 2, and 3

This section models the actual vertical motion of the hips over the three-beat Waltz figure, based on real measurement and biomechanical principles.


📏 Real-World Reference

📏 Baseline Rise and Fall — Commencement of Dance

Event Y_hips Height Description
Minima 35 inches End of Step 1 (no prior rise)
Maxima 41 inches End of Step 3 (leg rise only)
Total Rise 6 inches From deepest lowering to full leg rise

This assumes:

❌ No foot rise yet

✅ Only leg action

✔️ Used at the first beat of a dance or anywhere where there is no preceeding foot rise

📏 Full Rise and Fall — With Foot Rise

Event Y_hips Height Description
Minima 35 inches Deepest point of lowering (e.g. end of previous figure)
Leg Rise Only 41 inches After knees straighten but heels stay down
Foot Rise Peak 45 inches Full extension — heel off floor
Total Rise 10 inches From deepest lowering to full foot rise

Note: Foot and Leg rise can be used in any combination, it's up to the music and the dancers

This image shows Rise and Fall for Waltz and Quickstep Note that this is not a sine or a cosine wave. Not only are the half waves different but the curve at top and bottom is not that of a sine or cosine wave.

Rise and Fall Equations # 📈 Rise and Fall Equations – Viennese Waltz (Beats 1–6) This section defines the vertical hip motion over two full Waltz measures (6 beats), using smooth cosine-based curves to model **lowering** and **rising** with biomechanical realism. --- ## ⚙️ Constants - **dy_down** = 3 in = `0.0762` m — maximum lowering - **dy_up** = 4 in = `0.1016` m — maximum foot rise - **C** = 38 in = `0.9652` m — neutral standing height (hip) - **T** ≈ `1.071` sec — time per beat (based on 60 MPM × 3 beats) --- ## 🎵 Beats 1–3 ### ⏬ Beat 1 – Fall \\[ y(t) = -dy_{{down}} \\cdot \\frac{1 - \\cos\\left(\\pi \\cdot \\frac{t}{T}\\right)}{2} + C \\] - Valid for \\( t \\in [0, T] \\) --- ### ⏫ Beats 2–3 – Rise \\[ y(t) = (dy_{{down}} + dy_{{up}}) \\cdot \\frac{1 - \\cos\\left(\\pi \\cdot \\frac{t - T}{2T}\\right)}{2} - dy_{{down}} + C \\] - Valid for \\( t \\in [T, 3T] \\) --- ## 🔁 Beats 4–6 (Repeat of Above) Let \\( T_0 = 3T \\) — time offset for second measure. ### ⏬ Beat 4 – Fall again \\[ y(t) = -dy_{{down}} \\cdot \\frac{1 - \\cos\\left(\\pi \\cdot \\frac{t - T_0}{T}\\right)}{2} + C \\] - Valid for \\( t \\in [T_0, T_0 + T] \\) --- ### ⏫ Beats 5–6 – Rise again \\[ y(t) = (dy_{{down}} + dy_{{up}}) \\cdot \\frac{1 - \\cos\\left(\\pi \\cdot \\frac{t - T_0 - T}{2T}\\right)}{2} - dy_{{down}} + C \\] - Valid for \\( t \\in [T_0 + T, T_0 + 3T] \\) --- ## ✅ Notes - These equations model **smooth, continuous** rise and fall. - Cosine-based motion ensures **zero acceleration at peak and base**, mimicking natural movement. > _Rise is not a 'jump' — it’s a wave._
**Example Real World Rise and Fall Measurements** Standing hip height with straight leg = 41" minimum hip height with bent knees = 35" foot rise height = 4" Heel Height = 1" gives us Leg Rise: maxima = 41", minima = 35" Foot Rise: maxima = 4", minima = Heel Height Total Rise Maxima: 41" + 4" = 45" Total Fall Minima: 35 + Heel Height = 0 **For the very first beat of the dance** - **Step 1 (Beat 1)**: Smooth lowering from 41" to 35" - Represents the dancer’s full controlled descent - Ends at the lowest point the dancer can reach - **Steps 2 & 3 (Beats 2-3)**: Continuous rise from 35" to full leg and foot rise (41" + 4") 45" - Follows a smooth arc (cosine-based) - Peak of rise is reached **exactly at Beat 3**, allowing lowering to begin afterward **The Other subsequent steps** - **Step 1 (Beat 1)**: Smooth lowering from 45" to 35" - Represents the dancer’s full controlled descent - Ends at the lowest point the dancer can reach - **Steps 2 & 3 (Beats 2-3)**: Continuous rise from 35" to full leg and foot rise (41" + 4") 45" - Follows a smooth arc (cosine-based) - Peak of rise is reached **exactly at Beat 3**, allowing lowering to begin afterward

🧭 Dance Principle

Full rise must be achieved at the end of Step 3 (Syncopated Steps being an exception), not earlier or later, so that lowering can begin precisely at the start of the next beat.

The amount of rise is not arbitrary — it is defined by:

  • The dancer’s own biomechanics
  • The shared limitations of the partnership
  • And the phrase structure of the music

In Viennese Waltz

Physics of Effective Mass in Rise and Fall

During the vertical movement of rise and fall in dances like Waltz or Viennese Waltz, the dancer’s hips follow a smooth path. Although the dancer's mass remains constant, the effective weight at the lowest and highest points changes due to deceleration forces acting on the body.

**Real World Rise and Fall Weight Example** # 🧮 Effective Mass During Rise and Fall When a dancer executes a smooth vertical rise or fall (such as a cosine-shaped motion), the body must decelerate at the top and bottom of the arc. This creates a momentary increase in **effective mass** - the force needed to stop or reverse motion feels like additional weight. ### Maximum Velocity The peak velocity (occurring at the midpoint of the motion) for a cosine-shaped curve is: ``` v_max = (π × h) / t ``` ### Deceleration at Minima or Maxima The deceleration required at the extrema (to stop the motion) is: ``` a = (π² × h) / t² ``` ### Effective Mass Equation The total effective force experienced at the extrema is: ``` F_effective = m × (g + a) ``` Convert that to mass by dividing by gravity: ``` m_effective = m × (1 + (π² × h) / (g × t²)) ``` ## 📐 Definitions Let: - \( m \): mass of dancer (kg) - \( g = 9.81 \): gravitational acceleration (m/s²) - \( h = 0.1016 \): vertical displacement (meters, ~4 inches) - \( t = 0.5 \): duration of rise or fall (seconds) --- ## 🧮 Equation for Effective Mass The effective mass at the extrema is given by: \[ m_\text{eff} = m \left(1 + \frac{\pi^2 h}{g t^2} \right) \] This term \( \frac{\pi^2 h}{g t^2} \) represents the deceleration required at the lowest or highest point of the motion. --- ## ✅ Plugged-In Example With: - \( m = 70 \) kg - \( h = 0.1016 \) m - \( t = 0.5 \) s We calculate: \[ a = \frac{\pi^2 \cdot 0.1016}{0.5^2} = 4.01 \text{ m/s}^2 \] \[ m_\text{eff} = 70 \cdot \left(1 + \frac{4.01}{9.81} \right) \approx 70 \cdot 1.4085 = 98.62 \text{ kg} \] --- ## 🎯 Interpretation - A 70 kg dancer feels like **98.6 kg** at the peak or trough of vertical motion. - This is a **41% increase!!!** - Technique and timing matter - especially for the partner receiving this force. > Math saves partnerships, and knees._

Understanding the Difference: Potential Energy (PE) vs. Apparent Mass

Yes, you should read this

While it's tempting to think that the extreme values of effective weight come from how far the dancer moves (i.e., the length of the rise or fall), that isn't quite accurate.


🎯 What Generates Potential Energy (PE)?

Potential energy comes from height:

  • PE = m × g × h
  • The higher your center of mass, the more Potential Energy (PE) your system has — but this energy is not stored in your body.
  • You can only “use” it if you descend in a way that lets gravity assist your motion an example being relaxing the leg muscles risking injury as you crash to the floor. Even if it were possible to control Leader is responsible for the Followers safety..... so please don't do that.
  • Think of it as being "available to the universe," not your legs.

So yes, energy increases with rise — but it’s not fuel your body can reclaim.


⚡ What Generates Apparent Weight?

Apparent weight comes from acceleration, especially during rapid changes of direction:

  • When the dancer decelerates at the bottom of a fall, they feel heavier.
  • When they decelerate at the top of a rise, they again feel heavier.
  • The faster the transition, the more the effective mass spikes (and that can mean even heavier)

🧠 Key Insight:

  • Potential Energy depends on height (h).
  • Apparent Weight depends on acceleration (a), which is based on both distance and time.
  • Therefore: You can have modest PE but huge spikes in effective weight if the timing is too abrupt.

🩰 Relevance to Dance

In Viennese Waltz and other fast dances, the limited time available to complete a rise or fall results in very high accelerations, even if the vertical distance is small.

That’s why dancers can feel enormously heavier at the peaks and troughs — not because of how high they went, but because of how fast they had to get there.

rise-and-fall-equations-beats-123.md

Equations used in the Rise and Fall Graph Standing hip height with straight leg = 41" minimum hip height with bent knees = 35" foot rise height = 4" Heel Height = 1" gives us Leg Rise: maxima = 41", minima = 35" Foot Rise: maxima = 4", minima = Heel Height Total Rise Maxima: 41" + 4" = 45" Total Fall Minima: 35 + Heel Height = 0 **For the very first beat of the dance** - **Step 1 (Beat 1)**: Smooth lowering from 41" to 35" - Represents the dancer’s full controlled descent - Ends at the lowest point the dancer can reach - **Steps 2 & 3 (Beats 2-3)**: Continuous rise from 35" to full leg and foot rise (41" + 4") 45" - Follows a smooth arc (cosine-based) - Peak of rise is reached **exactly at Beat 3**, allowing lowering to begin afterward **The Other subsequent steps** - **Step 1 (Beat 1)**: Smooth lowering from 45" to 35" - Represents the dancer’s full controlled descent - Ends at the lowest point the dancer can reach - **Steps 2 & 3 (Beats 2-3)**: Continuous rise from 35" to full leg and foot rise (41" + 4") 45" - Follows a smooth arc (cosine-based) - Peak of rise is reached **exactly at Beat 3**, allowing lowering to begin afterward ![Rise and Fall Graph](/images/rise-and-fall-graph.png)

Implications

  • Viennese Waltz: Requires a tight, controlled rise/fall for safety and comfort.
  • Foxtrot: Allows for a deeper but smoother shaping.
  • Quickstep: Demands minimal rise/fall amplitude due to extreme timing.
  • Waltz (standard): Typically uses \~7 inches of range but with slower timing (0.666s/beat), yielding a safer acceleration profile.

Energetics & Effective Mass ## Rise & Fall Mechanics: Energetics & Effective Mass ================================================== A biomechanical and energetic analysis of Rise & Fall (R&F) in ballroom dances — specifically Waltz, Viennese Waltz, and Quickstep — using timing-corrected models, potential energy equations, and effective force estimates. Constants and Conventions ------------------------- - **C**: Neutral standing hip height = 38″ → 0.9652 m - **dy_down**: Fall depth = 3″ → 0.0762 m - **dy_up**: Rise height = 4″ → 0.1016 m - **g**: Gravitational acceleration = 9.81 m/s² - **Forward velocity**: +z direction, assumed = 1.2 m/s Timing Models ------------- | Dance | MPM | Time Signature | BPM | Seconds/Beat | Beats/Bar | Total Time | |------------------|-----|----------------|------|----------------|------------|-------------| | Waltz | 30 | 3/4 | 90 | 0.6667 | 3 | 2.0 s | | Viennese Waltz | 60 | 3/4 | 180 | 0.3333 | 3 | 1.0 s | | Quickstep | 51 | 4/4 | 204 | 0.2941 | 4 | 1.176 s | Equations --------- **Potential Energy:** \[ PE = m \cdot g \cdot h \] **Effective Mass from PE:** \[ m_{\text{eff}} = \frac{PE}{C} \] **Deceleration-induced Force at Minima:** \[ a_y = \frac{\pi^2 \cdot \text{dy}}{t^2} \quad\Rightarrow\quad F_y = m \cdot (g + a_y) \] **Total Force with Forward Motion:** \[ F_{\text{total}} = \sqrt{F_y^2 + \left(\frac{m \cdot v}{t}\right)^2} \] > ⚠️ Note: These formulas assume **instantaneous deceleration** and **perfect rigid body dynamics**, which overestimate peak forces. > In reality, joints, muscle damping, and choreography reduce these loads substantially. Effective Mass Summary *(Realistic Estimates)* ---------------------- Assumes **Follower = 70 kg**, **Leader = 85 kg**, with controlled deceleration and biomechanical compensation. | Dance | Est. Apparent Mass (kg) | % Increase Over Static | |------------------|--------------------------|-------------------------| | Waltz | 70 → ~100 kg | ~+43% | | Viennese Waltz | 70 → ~110 kg | ~+57% | | Quickstep | 70 → ~95 kg | ~+36% |

Conclusion

Dancers and instructors should tune R\&F amplitudes to tempo. Overdoing it in fast dances like QS or VW can result in biomechanical overload and instability, while Foxtrot allows more artistic depth without penalty.