For what it’s worth, my interpretation of tie in step sequencer basically says “trigger the gate and keep it high for duration of this step and next”. Some examples(assuming each step is a 1/16th):
x - o - o = trigger on step 1. duration <= 1/16th
x(tie) - o - o = trigger on step 1 and hold through step 2 until step 3. duration = 1/8th
x(tie) - x - o = also trigger on step 1 and hold until step 3. duration = 1/8th. the trigger on step 2 is consumed and irrelevant.
x(tie) - x(tie) - 0 = trigger on step 1 hold until step 4. duration = 3/16th
Do these examples meet anyone else’s expectations?