The Waltz is easy to understand. Rise at the end of step one is also rise at the end of beat one.
Possibly. Certainly, I believe, that's how the authors intended it. But some would argue that either they were shortsighted in their choice of description, or that's not actually what they intended. Either way, here's the logic:
A beat, like a step, occupies a span of time.
The beat begins at the initial strike, and continues until the strike of the following beat.
Most of us would agree that when a step is perceived to be "on time" with the music, the foot should strike at the same moment the beat strikes. But here's the rub: If we are to agree that the step and the beat begin and end at the same time, we must also therefore agree that the step begins at the moment the foot strikes (eg stops moving and begins taking weight). However, most technique books do not describe this as the beginning and end points of a step. In fact, the ISTD book itself would characterize this point as being the exact opposite: They acll it "mid-stride".
Most of us, the ISTD included, think of the beginning of a step as the moment one foot passes the other, as the moving foot begins its journey towards its new position. The step does not end until the next moving foot has completed its "follow-through". But if you were to attempt to apply this perception of a step to the generally accepted perception of the beginning and end points of a beat, you would be striking each step exactly half way between the beats.
The only possible concludion, therefore, is that in order to dance "on time", one must not align the beginning of a step with the beginning of the beat. Instead, one must begin the step before the beat, so that the foot strikes at the same time as the beat.
The question then becomes, "Does the ISTD mean to say that the rise begins on the end of
step one, or at the end of
count one?" The obvious answer is that they are describing rise as being at the end of
step one, which is easily inferred by reading the text of some of the longer figures (eg "rise at the end of 24", whereby there are not 24 beats in a measure of Waltz music).
But to rise at the end of
step one, if you are to follow the ISTD's own description of the beginning and end points of a step, you would have to begin rising before the moving foot passes the standing foot. This is much earlier than almost anybody would condone commencing foot rise. And so it is my conclusion that this discrepancy is an oversight by the ISTD. Maybe they were just trying to keep things simple, but what they forgot is that their book is scrutinized by the most analytical of minds, and discrepancies like these lead to more confusion.
Regards,
Jonathan