The Black-and-white Warbler has a distinctive and, most often, an easily recognizable NFC. All of the following information refers to the dzit or dzinn call. This call is given both diurnally and nocturnally (Evans and O'Brien 2002, Pieplow 2017, Kricher 2020).
Pieplow (2017) identifies it as a dzit, noting:
Very short, very high buzzy note. Shorter and usually finer than Burry Seet. {The BAWW's is} often rising; see Sreet, p.501.
Dzit... rising or monotone. ... given all year, often in flight, including by night migrants.
Evans and O'Brien (2002) notes:
A delicate "dzinn" with a fine sibilant buzz, often slightly rising. Many calls have a subtle two-parted character, while others are nearly monotone.
Most similar to Blue-winged and Golden-winged Warblers but the subtle two-parted character is usually distinctive. Also compare to Chestnut-sided Warbler.
Spectrographic description: Measured calls (N=13) were 56-87.5 (68.3) mS in duration and in the 6.6-10.8 (7.2-9.3) kHz frequency range. The frequency track was single or double-banded, typically with an initial relatively short section of descent followed by a longer variably rising and downward-arched section. It was modulated with a spacing of 3.5-4.1 (3.8) mS between humps and a depth of 0.7-1.2 (1) kHz.
Sibley (2016) writes:
Flight call a high, hissing, rising fsss.
Birds of the World notes (Kricher 2020):
Call note is a sharp chip or pit, similar to that of Blackpoll Warbler (Griscom and Sprunt 1957, Terres 1980b), with many variations (Allison in Bent 1953b). During breeding, females call when close to mate and away from nest. Paired males also call sometimes, probably to keep in contact with female. On wintering grounds, call note is a thin, weak tsit or tseep, reportedly difficult for humans to hear (Stiles and Skutch 1989).
It is unclear to me whether the tsit or tseep described in Stiles and Skutch (1989) is different from the chip or pit calls. There is no mention of NFCs in BotW. I also don't know exactly what Sibley was referring to with his fsss.
Stephenson and Whittle (2013) note only that the flight call is "steady often in day", and give the expected spectrogram. They also note:
Complex; Short, Complex sic; modulations far apart so not fully buzzy; sim. to Blackpoll; given during day; "zeep"
Dunne (2006) notes:
Flight call is a short buzzy or hissing "sss."
while Dunn and Garrett (1997) note:
Calls include a full chip or tik, suggestive of a Black-throated Gray Warbler; also a doubled seet-seet or zeet-zeet (sometimes a single zeet), which is also given as a Flight Note.
The best call that involves a bird which was seen, recorded, and commented upon in the checklist is here: https://ebird.org/checklist/S62295811.
Other calls:
This section may not be helpful. The idea is to make it easier to rule out other species more easily without going through the whole list, which may not be possible.
The following species were noted as being similar by the cited experts. Any notes underneath the species can be used to rule out the other species for particular calls.
When describing this call in comments on an NFC checklist, try and add as many salient notes as possible and refer to this page for justification. If there are any species which seem similar, please get in touch so we can add them here. The intent here is to have a full list of differences for each possible similar call.
All notes for species are coming from Evans and O'Brien (2002), unless where noted.