Off topic, but C F Scott, the inventor in 1894, stated: In considering the marked advantage of the two-phase system for distribution and of the three-phase system for transmission, it occurred to me that that a combination of the two systems night secure the advantages of both, and I have worked out a simple and effective method of accomplishing this result. From James C. Brittain, “Charles F. Scott: A Pioneer in Electrical Power Engineering,” Industry Applications Magazine, Nov/Dec 2002 pp.6-8
Though not exactly “cutting edge,” apparently there are some two-phase systems in the Philadelphia and New York City areas. PECO lists 120/240V 2ø 5-wire and 2400V 2ø 3-wire{!} service in their tarriff. Con Ed lists 1950-volt{!} 2ø availability in their general conditions.
A NYC description of the Macombs Dam turnstile bridge {1895} listed having two two-phase motors. Oddly, 1999 NEC Table 430-149 concerns two-phase motor characteristics.