Hello There. Most household all in one units cannot operate on the ring characteristcs that you are describing.
They simply operate on the number of rings before automatic pickup to the fax machine. Therefore, you will need to just change the number of rings before the fax machine picks up. In this case however, you will not be able to use voicemail, since one or the other will will pickup.
http://h10032.www1.hp.com/ctg/Manual/c01102249.pdf
Page 63 and 64 (in PDF) or page 62 and 63 (hardcopy manual) explain the process.
Ignore the information about setting higher then voicemail. That information is typically only valid if you have the old voicemail devices in your home. Most people now adays get a voicemail service added to your telephone service, in which case you cannot control the voicemail as easily.
So again, in other words you will be sacrificing your voicemail for your fax machine. Only other way around it is to get a dedicated fax line to seperate the two numbers.
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