The nine species on this page are from three species groups:
Rileyi species group (chirping): Snowy, Riley’s and Alexander’s.
Niveus species group (intermittent bursts of trilling): Narrow-winged and Davis’.
Varicornis species group (wide-winged): Broad-winged, Texas, Different-horned and Western.
Note: Great tree cricket (Oecanthus major) has been photographed twice in southern Arizona. See here: https://bugguide.net/node/view/473157#2564920
https://www.inaturalist.org/observations/7784110
Click on the pull down tabs in the menu to see each species.