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Ceiling fan circuit , type 1

(SMC) Black speed switch, three wire capacitor.

Notes:
Speed Switch connection table:

0 (OFF) : NC
1 (Fast): 1 to L and C1-1
2 (Med) : 1 to L and C1-2
3 (Slow): 1 to L , C1-1, and C1-2

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Ceiling fan circuit , type 2

(Canarm) Black speed switch with only three terminals connected, two wire capacitor.

Notes:
Speed Switch connection table:

0 (OFF) : No connection
1 (Fast): 2 to 1
2 (Med) : 2 to 1 and 3
3 (Slow): 2 to 3

Do not use an electronic speed control on this type of fan (I haven't tried, the documentaiton on my fan of this type just says not to).

Ceiling fan circuit , type 3

(SMC) Red speed switch, two wire capacitor.

Notes:
Speed Switch connection table:

0 (OFF) : No connection
1 (Fast): L to 1
2 (Med) : L to 2
3 (Slow): L to 3

Reversing switch truth table (all types described here, yellow switches)

1 (Forward):L to 1 , 2 to 3
2 (Reverse):L to 3 , 2 to 1