N_Drummer Data Analysis
To see all of N_Drummer's videos and data, follow the links:
Protocol
Published papers on the data:
Snare Drumming Preliminary Results
Rudimental Coordination: From Snare to Set
The analysis of the 3 drummers who participated in the experiment are as follows:
1. Average of Position of Basic Strokes
2. Average of Position of Rudiments via basic stroke breakdown
3. Difference of positions based on basic stoke breakdown of rudiments
4. Overall analysis through triangulation of movement: Possible sin(x) or cos(x) reduction
Basic Strokes
The Rudiments are a subset of the Basic Strokes.
The Basic Strokes are a subset of the Positions.
Positions: Rest, Up, Tap
The rest position is when a mode occurs in the data. While the mode for each anatomical marker vector differ in time, the time in which a mode occurs for all anatomical markers and vectors are close in time; meaning the rest position is reflected by the occurrence of the mode in a five number summary for a data set.
The up position refers to the maximum displacement value in the z (up and down) for the wrist specifically. While the origin of the stroke is at the shoulder (mainly from the scapula), the wrist determine the distance of the stick from the drum in the z-vector.
The tap position refers to the wrist when the minimum displacement value occurs in a sequence for the z-vector. This position in time is closely related to the stick hitting the drum.
The data for each drummer can be categorized by these three phenomena which map onto the traditional pedagogical terms used in snare drumming. The data is analyzed through this lens of maximum (up position), minimum (tap position), and mode (rest position). The other components of the five number summary used without a mapping of meaning to pedagogical snare drumming terminology.
Basic Stroke Types: Full, Up, Down, Tap, Buzz
Full Stroke: Rest->Up->Tap->Rest
Up Stroke: Rest->Tap->Up->Rest
Down Stroke: Rest->Up->Tap->Rest
Tap Stroke: Rest->Tap->Rest
Buzz Stroke: Rest->Up->Tap(n)->Rest
(n) denotes the number of times the stick makes contact with the head within one
stroke...
Experiment
Full Stroke: Rest->Up->Tap->Rest
The full stroke has many variations among drummers. For N_Drummer, the full stroke starts in the up positions, travels to the tap position, and returns to the up position for one repetition of the full stroke.
The following table is the five number summary of the full stroke trial for N_Drummer
As seen in the chart above, N_Drummer's movement is greatest in the z-vector for the ulna and radius anatomical markers. Naturally, a movement pattern that expresses drastic movement in the z-vector should be seen in this analysis. This particular breathe of movement in the z-vector only applies only to the wrist as it travels from the up position.
As seen in the chart above, the Ulna and Radius (r-vector) seem to have similar pathways towards the tap position. In the transformed coordinates, the radius intersects with the ulna twice instances per oscillation. The first of the intersections occurs as the radius is moving from the up position to the tap position. The second intersection occurs after the tap position for the radius. At this time, the ulna has not arrived to the tap position.
What does this mean?
This intersection of anatomical markers for the tranformed coordinates gives insight into how the anatomical markers interact with each other. Throughout the rudiment trials, there should be a similar phenomenon for each iteration of the full stroke.
Up Stroke: Rest->Tap->Up->Rest
The up stroke starts at the rest position. The drummer drops the stick to strike the drum. As the stick hits the drum, the drummer lifts the stick to the up position. Then, the stick and arm is returned to the rest position.
As seen in the chart above, the movement of N_Drummer for the Up Stroke trial is very minimal based on the standard deviation values for each anatomical marker in each vector. As seen in the graph below, the radius and ulna share more of a unison movement than that seen in the full stroke trial for N_Drummer.
Down Stroke: Rest->Up->Tap->Rest
The down stroke starts at rest position. The drummer raises the stick to the up position; then, drops the stick from the up position to the tap position. After the stick hits the drum, the stick is returned to the rest position.
Tap (NO TAP DATA FOR N_DRUMMER)
Tap Stroke: Rest->Tap->Rest
The tap stroke starts at the rest position. The stroke begins once movement occurs. The concept behind the tap stroke is to drop the stick to the drum head; then catch the stick after the contact point which will return the stick and body to rest position.
Buzz Stroke: Rest->Up->Tap(n)->Rest
The buzz stroke starts at rest position. The drummer raises the stick to the up position; then, the stick travels to the tap position. As the stick hits the drum, the wrist and elbow allow the stick to bounce multiple times. At the a specified number of bounces, the stick is returned to rest position.
As seen above, the movement for the buzz stroke is very minimal. The total displacement for each anatomical marker in the resultant vector does not exceed 1 cm.
Conclusion of Basic Stroke Analysis
The basic stroke trials for N_Drummer has unique occurances that M_Drummer does not posses. Comparison of each of the three drummers for this trial (N, M, and B Drummer) are available here.
Analysis of the Rudiments Via Basic Strokes and Positions
The analysis of M_Drummer for the selected rudiments during the experiment trials will be based on the positions (up, tap, and rest) as well as the stroke break down found in traditional snare drumming pedagogy.
Each rudiment trial has the positions cited in the analysis of the basic strokes throughout each iteration of the rudiment. Below is the basic stroke breakdown for each of the selected rudiments. All rudiments are broken down by stroke type.
Stroke Break Down for the Selected Rudiments
Ratamacue
(Left Tap + Left Tap) +Right Tap, Left Up Stroke, Right Tap, Left Down Stroke
(Invert for Left Hand Lead)
Inverted Flam Tap
Right Down Stroke + Left Tap Stroke, Right tap Stroke, Left Down Stroke + Right Tap
Stroke, Left Tap Stroke
The Flam Tap
Right Down stroke + Left Up Stroke, Right Tap, Left Down Stroke + Right Tap, Left Tap
Flam Accents
Right Down Stroke + Left Tap, Left Up Stroke, Right Tap, Left Down Stroke + Right Tap, Right Up
Stroke, Left Tap
Paradiddle
Right Double Stroke, Left Up Stroke, Right Tap, Right Tap
(Invert for Left Hand Lead)
Positions of the Selected Rudiments
(Left Tap + Left Tap) +Right Tap, Left Up Stroke, Right Tap, Left Down Stroke
(Invert for Left Hand Lead)
As seen in the chart below, N_Drummer has a movement pattern that is below 1 standard deviation in all vectors for all anatomical markers. This means that his movement doesn't have a range of motion that is exaggerated. As seen in the basic stroke trials, N_Drummers movement varies greatest in the wrist; specifically in the z-vector which is up and down. However, the resultant vector analysis has the elbow as the anatomical marker with the greatest range of motion.
An occurrence between the Ulna and Radius in the r-vector shows both an inverse and unison movement pattern throughout the repetitions of the rudiment.
If the above chart detailing the interplay between the wrist could be compared to the chart below detailing the entire recorded sequence for the wrist, one could see how the wrist interact as unison pairs and as inverse pairs.
In addition to the quality of the movement of the wrist, the relationship between the wrist and the elbow exhibit a more inverse relationship then previously seen in the basic stroke trials for N_Drummer.
Below is the full transcription of the anatomical markers in the resultant vector for the Ratamacue drum trial.
Right Down Stroke + Left Tap Stroke, Right tap Stroke, Left Down Stroke + Right Tap
Stroke, Left Tap Stroke
As seen in the chart below, N_Drummer's range of motion is very efficient for the flam tap rudimentary trial. Similar to the basic strokes, N_Drummer's movement pattern has it greatest range of motion in the z-vector for the wrist.
There is an occurrence with the ulna and radius in the resultant vector graph seen below.
As seen in the graph above, the wrist seem to be in a different oscillatory pattern in reference to range of displacement. However, the wrist seem to exhibit the same relationship with each other throughout this anomaly. If compared to the video, the position of the wrist in the resultant vector corresponds to the movement of N_Drummer's head in the video. Therefore, it can be assumed that the position of the head for N_Drummer greatly effects the range of position for the wrist in every trial; but particularly effected the range of motion of the wrist for the inverted flam tap trial.
Right Down stroke + Left Up Stroke, Right Tap, Left Down Stroke + Right Tap, Left Tap
As seen in the chart above, N_Drummer's movement varies greatly in the z-vector for the wrist. However, the wrist has the lowest value for standard deviation (r-vector) for the positions than the elbow in the r-vector. This phenomenon can be seen slightly in the graph below.
Right Down Stroke + Left Tap, Left Up Stroke, Right Tap, Left Down Stroke + Right Tap, Right Up
Stroke, Left Tap
As seen in the chart above, N_Drummer's movement patterns for the flam accent trials have the greatest range of motion in the z-vector for the wrist due to the value of the standard deviation for the entire trial. This concept can be seen in the graph below as well.
Unlike the other rudimentary trials, the wrist are in unison for the entirety of the trial. (See below)
Paradiddle
Right Double Stroke, Left Up Stroke, Right Tap, Right Tap
(Invert for Left Hand Lead)
As seen in the chart above, the wrist have the greatest range of motion for this trial; similar to the other rudimentary trial. However, the wrist share a unison movement while the elbow and wrist share an inverse movement (see graph below). This phenomenon is unlike the basic stroke trials.
Conclusion
The data sets for N_Drummer vary from the basic strokes to the rudiments in terms of the relationship between the elbow and the wrist and the ulna and radius. In all of N_Drummer's trials, he displayed an efficient movement paradigm.