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1
Combine 3 cups blackberries with 1 cup sugar and the water in a medium nonreactive saucepan.
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2
Bring to a boil over medium heat.
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3
Reduce heat to a simmer, and cook, stirring constantly, until the sugar dissolves and the berries begin to fall apart, about 4 minutes.
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4
Remove from the heat.
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5
Pass the berry mixture through a fine sieve into a medium bowl, gently pressing down on the solids with a wooden spoon to release as much liquid as possible.
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6
Measure out 1/2 cup solids, and set aside; discard the remaining solids.
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7
Measure out 1 3/4 cups strained puree, and return it to the saucepan; reserve any remaining puree for serving.
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8
(Store reserved puree in an airtight container in the refrigerator until ready to use.)
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9
Place the vanilla bean and scrapings in a saucepan, and add the milk.
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10
Bring to a gentle boil over medium heat, and remove from heat.
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11
Discard the vanilla pod.
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12
Prepare an ice-water bath, and set aside.
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13
Combine the egg yolks and the remaining 1/3 cup sugar in the bowl of an electric mixer fitted with the whisk attachment.
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14
Beat on medium-high speed until the mixture is pale yellow, 3 to 5 minutes.
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15
Using a measuring cup or ladle, slowly pour about 1/2 cup hot milk mixture into the egg yolk mixture, beating constantly on low speed until blended.
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16
Continue adding the milk mixture, about 1/2 cup at a time, beating until thoroughly combined after each addition.
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17
Return the mixture to the saucepan.
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18
Cook over medium heat, stirring constantly with a wooden spoon, until it is thick enough to coat the back of the spoon and hold a line drawn across the back of the spoon with your finger, 6 to 8 minutes.
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19
Remove from heat; add the reserved strained puree, and immediately stir in the cream to stop the cooking.
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20
Pour through a fine sieve into a medium bowl set in the ice bath; let cool completely, stirring occasionally.
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21
Cover the bowl with plastic wrap, and place in the refrigerator until thoroughly chilled, at least 30 minutes or overnight.
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22
Freeze the mixture in an ice-cream maker according to the manufacturers instructions; it should still be slightly soft.
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23
Stir in the reserved 1/2 cup blackberry solids and remaining 1 cup blackberries; spin a few times in the ice-cream maker to distribute evenly.
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24
Transfer the mixture to an airtight container, and place in the freezer until the ice cream is completely set, at least 4 hours and up to 1 week.