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This year, both Rabbinical and Karaite Jews held Passover on the same day. It was truly an incredible coincidence, since the rabbinical calendar is normally off by two days from the new moon calendar described in the Torah. Anyhow, It is quite unfortunate that Rabbinical Jews will be holding Shavout starting on Tuesday evening, June 7, 2011. Based on the following verses, Shavout should always occur the day after Sabbath, a Sunday -- this year, June 12, 2011.

More discussion is here: Counting the Omer 2009

Leviticus Chapter 23
9 And YHWH spoke unto Moses saying:
10 Speak unto the children of Israel, and say unto them: When ye are come into the land which I give unto you, and shall reap the harvest thereof, then ye shall bring the sheaf of the first-fruits of your harvest unto the priest.
11 And he shall wave the sheaf before YHWH, to be accepted for you; on the morrow after the sabbath the priest shall wave it.
12 And in the day when ye wave the sheaf, ye shall offer a he-lamb without blemish of the first year for a burnt-offering unto YHWH.
13 And the meal-offering thereof shall be two tenth parts of an ephah of fine flour mingled with oil, an offering made by fire unto YHWH for a sweet savour; and the drink-offering thereof shall be of wine, the fourth part of a hin.
14 And ye shall eat neither bread, nor parched corn, nor fresh ears, until this selfsame day, until ye have brought the offering of your God; it is a statute for ever throughout your generations in all your dwellings.
15 And ye shall count unto you from the morrow after the day of rest, from the day that ye brought the sheaf of the waving; seven weeks shall there be complete;
16 even unto the morrow after the seventh week shall ye number fifty days; and ye shall present a new meal-offering unto YHWH.
17 Ye shall bring out of your dwellings two wave-loaves of two tenth parts of an ephah; they shall be of fine flour, they shall be baked with leaven, for first-fruits unto YHWH.
18 And ye shall present with the bread seven lambs without blemish of the first year, and one young bullock, and two rams; they shall be a burnt-offering unto YHWH, with their meal-offering, and their drink-offerings, even an offering made by fire, of a sweet savour unto YHWH.
19 And ye shall offer one he-goat for a sin-offering, and two he-lambs of the first year for a sacrifice of peace-offerings.
20 And the priest shall wave them with the bread of the first-fruits for a wave-offering before YHWH, with the two lambs; they shall be holy to YHWH for the priest.
21 And ye shall make proclamation on the selfsame day; there shall be a holy convocation unto you; ye shall do no manner of servile work; it is a statute for ever in all your dwellings throughout your generations.
22 And when ye reap the harvest of your land, thou shalt not wholly reap the corner of thy field, neither shalt thou gather the gleaning of thy harvest; thou shalt leave them for the poor, and for the stranger: I am YHWH your God.

http://www.karaite-korner.org/omer.shtml:

June 11, 2011:
Today is the 7th day of the 7th week of seven weeks. Today is the 49th day of the counting of fifty days from the day of the waving of the Omer on the morrow after the Sabbath. Today is Sabbath, the 7th Sabbath of seven Sabbaths. Today completes the 7th week of seven weeks.

11 יוני 2011:
הַיּוֹם יוֹם שְׁבִיעִי לַשָּׁבוּעַ שְׁבִיעִי מִשִׁבְעָה שָׁבֻעוֹת. הַיּוֹם אַרְבָּעִים וְתִשְׁעָה יוֹם מִסְפִירַת חֲמִשִּׁים יוֹם מֵהֲנָפַת הָעֹמֶר מִמָּחֳרַת הַשַּׁבָּת. ‏הַיּוֹם שַׁבָּת, שַׁבָּת שְׁבִיעִית מִשֶׁבַע שַׁבָּתוֹת. הַיּוֹם נִשְׁלַם שָׁבוּעַ שְׁבִיעִי מִשִׁבְעָה שָׁבֻעוֹת.