I have the LR6 about 4 feet apart for about a total of 12 in my kitchen. My ceilings are 9'9". They are very bright. It's almost too much light, but a really very nice light ;). I haven't gotten the dimmer installed yet. My kitchen is an odd shape, we'll say 20' by an average of 12 feet. So, 9 might be too much for you. 9 probably would have been better for me. But, I'm no lighting designer ;)

@Kimberly J, You're on the right track. While you've not given us a ceiling height nor details on materials/finishes (all affect lighting design) please consider the following: • Depending on actual pendant choices, your island could handle 3 smaller pendants & your peninsula could handle 1-2 pendants. These might all be complimentary to the pendant style you choose to hang over the table. • Lighting for sink wall & art wall could all be controlled together via dimmer. • Lights for island & for peninsula should be controlled separately, dimmers. Maybe locate the island's pendants dimmer on the island itself. • Before choosing actual recessed light size & final layout, think about the quantity & quality of the light it produces. The Lithonia Wafer LED comes 3", 4" or 6", and the Philips SlimSurface LED comes from 4" to 7". Each is available round or square, and in a few different color temperatures. I suggest using LEDs that are 2700k (a warmer white light like incandescent bulbs). I suggest the attached image for a possible layout. Less recessed lighting than the original. Please post pics when the project is completed.

I don't have pendents or recessed lighting - so no help there, but if you don't have under cabinet lighting, add that to your list. My under cabinet lighting is the most helpful lighting I have. At a guess, I would say 2 pendants over the island, but your lighting store should also be able to help you. It depends on what you use and if your recessed lights light up the island - then pendants aren't necessary. Change out the track light over the sink for sure.

First, I would encourage you to consult a lighting designer before making a final decision on recessed can sizes and types, and placement. Many independent lighting stores have a designer on staff that can help you if you bring in your plans. That being said, your H's plan looks solid, but I would add another can to the left of your sink, given that it will be a prime prep and storage area (but the size of the cans and their spread will help to determine that choice one way or the other). I would also put 4 cans over your island, given that it's a prep & sitting space.