Method:
In order to round robin a skill your effective cooldown must at least be equal to the duration of the ability times the number of characters you have to round robin with. Ergo, for 4 characters and an ability with duration 10, effective cooldown must be 40 or less.
Given the following formula for calculating the effective cooldown (cooldown - reduction) of an ability:
Effective CD = CD - CD * (CDR/100)
This yields the formula:
CD - CD * (CDR/100) = duration * Characters
apply some simple algebra:
Characters Needed = (CD-CD* (CDR/100))/duration
CDR Needed = -100 * ((duration*Characters-CD)/CD)
Feel free to correct if I've mucked up the algebra somewhere. But I'm pretty sure it's right. Additionally, as there is an ability listed with a 7.5 second CD, I assume partial seconds are preserved when Diablo 3 calculates your effective CD.
See below for table form. Spreadsheet is here. Note that spreadsheet has a slot for inputting your current minimum CDR; which yields the number of characters you require to round-robin a given ability at that minimum CDR. It is not editable to avoid defacement; just download it and use it locally.
Note that total CDR is not additive; a calculator for it is here.
Edit: Added link to CDR calculator, thanks Dev.
Edit: Updated for 2.0.5
Skill Rune Class Dur CD 1 2 3 4 Law of Valor Crusader 10 30 66.67 33.33 0.00 0.00 Law of Justice Crusader 10 30 66.67 33.33 0.00 0.00 Law of Hope Crusader 8 30 73.33 46.67 20.00 0.00 Judgement Crusader 6 20 70.00 40.00 10.00 0.00 Shield Glare Crusader 4 12 66.67 33.33 0.00 0.00 Consecration Crusader 10 30 66.67 33.33 0.00 0.00 Condemn Vacuum Crusader 3 15 80.00 60.00 40.00 20.00 Breath of Heaven Zephyr Monk 3 15 80.00 60.00 40.00 20.00 Breath of Heaven Infused with Light Monk 5 15 66.67 33.33 0.00 0.00 Breath of Heaven Blazing Wrath Monk 10 15 33.33 0.00 0.00 0.00 Blinding Flash Monk 3 15 80.00 60.00 40.00 20.00 Blinding Flash Self Reflection Monk 6 15 60.00 20.00 0.00 0.00 Blinding Flash Replenish Monk 5 15 66.67 33.33 0.00 0.00 Epiphany Monk 15 60 75.00 50.00 25.00 0.00 Serenity Monk 3 20 85.00 70.00 55.00 40.00 Serenity Ascension Monk 4 20 80.00 60.00 40.00 20.00 Inner Sanctuary Monk 6 20 70.00 40.00 10.00 0.00 Inner Sanctuary Sanctified Ground Monk 8 20 60.00 20.00 0.00 0.00 Frost Nova Wizard 2 11 81.82 63.64 45.45 27.27 Frost Nova Cold Snap Wizard 3 7.5 60.00 20.00 0.00 0.00 Black Hole Wizard 2 12 83.33 66.67 50.00 33.33 Ground Stop Barbarian 4 12 66.67 33.33 0.00 0.00 Ignore Pain Mob Rule Barbarian 5 30 83.33 66.67 50.00 33.33 Avalanche Snow Capped Mountain Barbarian 3 30 90.00 80.00 70.00 60.00 Hex Witch Doctor 12 15 20.00 0.00 0.00 0.00 Mass Confusion Paranoia Witch Doctor 12 60 80.00 60.00 40.00 20.00 Horrify Witch Doctor 3 12 75.00 50.00 25.00 0.00 Horrify Phobia Witch Doctor 6 12 50.00 0.00 0.00 0.00 Big Bad Voodoo Witch Doctor 20 120 83.33 66.67 50.00 33.33
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