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then you could probably get a hotter spark with a wider gap. BUT, that spark would be of shorter duration.
The spark will be present as long as the potential difference is present ie Voltage. Regardless of gap measurement.
NO relationship between gap measurement and time. 
Beggin' your pardon there, Michael. But widening the gap causes the coil to build more voltage in order to be able to jump the gap. Once this level is reached the spark is of shorter duration than a spark across a closer gap. This can, in fact, be observed on an oscilloscope. In the early days of high energy ignition systems (mid 1970s) I used this very aspect to diagnose ignition system problems. An analogy is perhaps in order. 10 gallons of water will take longer to pass through a 3/4 inch hose at 10 lbs psi than it will at 50 lbs psi.
Voltage is more accurately described as electrical "pressure" than as "potential difference".
Of course this depends on the amount of voltage that the ignition system is capable of generating
Contra todo mal, mezcal; contra todo bien, también
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