This is an easy, 32-count tango sequence with one step per beat throughout, described by Albert Newman of Philadelphia in 1914.
The Position
Tango Position and Closed Position, as illustrated below.
The Footwork
Part I - Promenade and Point (8 counts): Promenade two steps LOD (1, 2), then point outside foot forward, turning to face partner, rising on the inside foot (3), and fall on the inside foot (4). Repeat (5, 6, 7, 8).
Part II - Rocking Turn (8 counts): Lead steps back left as the Follow steps forward right. Then the Lead rocks forward right, as the Follow rocks back left, turning 1/4 to the right. Repeat three more times, rotating one full turn in total.
Note: The sources note that Part II can also be done turning to the left (with the Lead's left rocking forward, rather than back), or turning to the left and then the right (two rocks with the Lead's left foot in back, then shift to the Lead's left in front for the second two), or vice versa.
Part III - The Square (12 counts): This is a phase-shifted, quarter-turning Ocho in even timing, performed in a square. The Lead steps side left along LOD, then crosses right in front of left along LOD, then steps side left along LOD, as the Follow steps side right, crosses left in front, and steps side right. On the third step, the couple turns a quarter to the right, so that the Lead is facing against. Repeat opposite to travel toward the center of the room, the Lead stepping right, cross left in front, right, and the Follow stepping left, cross right in front, left, both turning a quarter to the right at the end, so that the Lead is facing into the room. Repeat both halves to complete the square and end up where you started.
Note: The sources note that if there are couples in your way, you can turn more than a quarter on the third step to travel in a straight line and navigate around them. This turns the step into half-turning, LOD-traveling Cross-Step Waltz (starting on count 6), a decade and a half before it was danced as such in waltz timing as the French Valse Boston.
Part IV - The Walk Out (4 counts): The last four counts are simply four walking steps (likely a promenade along LOD). Alternatively, the sources note that it could be four walking steps backwards, although it is unclear what exactly this means (Follow backing LOD, Lead backing LOD, or something else).
The Music
"The Newman Tango," written specifically for this dance, or any other square tango tune of the era.
The sources note that it is to be danced to tango music, not ragtime.
