# Experiment Date 10.29.15

The first analysis of the experiment date October 29, 2015, is the Moeller stroke. This stroke consist of three different basic stroke types in sucession: the down stroke, the tap stroke, and the up stroke. In order to have a fluid motion between the three strokes, mastery of the three strokes and the basic strokes and techniques in general will aid in the performance of the Moeller stroke.

The data range selected for the Moeller Stroke trial for experiment date 10.29.15 is from frames 1 through 415. For this range, there are 16 events, 8 relative maximum values and 8 relative minimum values based on the data from the radius anatomic marker in the resultant vector. The relative maximum values refer to the up position for this drummer and the relative minimum values are for the tap position for the drummer.

According to the data, the elbow and wrist have a similar path for their movement from relative maximum value to relative minimum value (see below).

There is an inverse occurrence of the movement pattern that happens at the onset of the selcted frames. Instead of a similar relationship in reference to the sequencing of minimum and maximum values in respects to the anatomical markers, the initial stroke has an inverse relationship between the elbow and wrist in the resultant vector.

The resulting analysis is as seen here. There is a five number summary based on the positions discussed above (tap and up position) and the frame counts associated with each phenomenon. In order to understand this initial difference between the relationship of the elbow and wrist in this three note sequence, the elbow in the resultant vector will be analyzed for all trials in relationship to the wrist.

The position averages are as follows:

All data below refers to the elbow anatomical marker in the resultant vector (transformed coordinates).

The minimum value is synonymous with tap position. The same is for maximum value and up position.

NOTE: only the last 7 occurrences will be analyzed for this trial since the first iteration of the stroke differs from the others.

Average minimum value: -1.8973 cm

Average maximum value: 1.425852 cm

Average time (min->max): 24.28571 frames

Average time (max->min): 23.7149 frames

Sequencing of positions: tap(min)->up(max)->tap(min)

Average Sequence (Time): 48 frames

Linear Reduction: Slope, linear function, triangulation

tap->up (slope) = y/x = (y2-y1)/(x2-x1) = (1.425852+1.8973)/24.28571;

therefore, the linear reduction of the distance from the tap position to the up position is 0.1368569x

likewise, the linear reduction of the distance from the up position to the tap position (second occurence) is -.14012929x as it intersects the point (48, 0). This linear reduction gives an outline of a triangle where one can perform trigonometric functions.

The three points of the triangle are as follows:

The average tap position (0, -1.8937)

The average up position (24.28571, 1.425852)

The average time from tap to up position. This value can be taken as the perpendicular intersection of the y-axis at the average tap position and the perpendicular intersection of the x-axis and the average up position. These three intersections create triangulation required for sine/cosine reduction.

The current sine reduction for the elbow in the resultant vector is as follows:

1.661576 sin ((82.208282*10^-3)x)

It is important to remember that the sine reduction is a reduction.