There are quite a few varieties of "Red" orange. Red Navel (Cara Cara), Moro Blood orange, Sanguinelli Blood Orange and quite a few others. Google blood orange...

not sure if these are true to type, but there are 3 red types that are available in my area. (also called blood orange or burgundy orange) They are each different in flavor and ripining season.
There is also a red valincia orange.
caracara navel is pink for part of it's maturity but can turn back to orange and is temperamental according to zone and amount of heat.

burgundy oranges I have
Moro
Sanguinelli
Torroco

Are you kidding us? I have a collection of oranges which are anything else but colored oranges, all are grafted to one tree:

Vainiglia Sanguigno
Rohde Red
Moro
Tarrocco
Sanguinelli
Cara-cara

plus I am going to add more pigmented oranges to my collection. So far only the Cara-cara, Sanguinelli and Tarrocco I have tasted others have not yet bloomed and fruited, perhaps next years. I liked the Sanguinelli the best so far, it has also caramel like aroma of the flowers. Although Cara-cara is sweeter, it lacks the flavorful punch of the Sanguinelli.

Of course I have regular and rare oranges on other trees.

Some pigmented oranges are stable genetic mutations and some of them are bud sport mutations. I have to dig my notes on what's what. I seldom propagate oranges by seedlings so these info doesn't stick to my brain for a long time. Just from recall, I know that Rohde Red and Cara-cara are sport mutations and so may be unstable when you plant the seeds, you may not get them as they are even if the seeds are nucellar. The juvenility phase of the seedlings may cause them to revert back to their original forms. But for sure, most other sanguines are true genetic mutations and could be stable and perhaps are true to type even when grown from seedlings. The Italians and other countries in Europe and mideast have longer history of citrus cultivation, and for sure, blood oranges from those places would be a better candidate for producing true to type sanguines from seedlings.

Jacques Prevert:

"La fermeture éclair a glissé sur tes reins
et tout l'orage heureux de ton corps amoureux
au beau milieu de l'ombre
a éclaté soudain
Et ta robe en tombant sur le parquet ciré n'a pas fait plus de bruit
qu'une écorce d'orange tombant sur un tapis
Mais sous nos pieds
ses petits boutons de nacre craquaient comme des pépins
Sanguine
joli fruit
la pointe de ton sein
a tracé une nouvelle ligne de chance
dans le creux de ma main
Sanguine
joli fruit

Soleil de nuit."

taken from: http://www.soupsong.com/fcitrus.html

Sanguine
by Jacques Prevert

The zipper slid down your back
and the whole beautiful storm
of your loving body
contained in darkness
suddenly burst out.

And your dress,
in falling to the polished floor
made no more sound
than an orange peel falling on a carpet.

But under our feet
its little pearl buttons crunched like pips.

Blood orange
pretty fruit
the tip of your breast
drew a new line of fortune
in the palm of my hand.
Blood orange
pretty fruit.

The sun of the night.

So nice!

Beautiful poem!

When some one says Red Navel, is that a Cara Cara or a different kind? Thanks.

Some literature refers to Cara-cara as Red Navel or Pink Navel. Recently, I have acquired a Red Valencia orange developed by the University of California Riverside, with a very scientific, academic, internationally acclaimed citrus research facilities. The Red Valencia budwoods was successfully grafted and still dormant, hopefully will sprout this spring and produce fruits within a couple of years.

joereal,
Wow all those grafted to one tree! I was wondering if any certain types of those you mentioned were more aggressive than the others? How do you keep them in check, just prune certain ones back so they don't take over? I have just recently been learning how to graft. The only blood I have right now is moro but it sounds like fun to try what you did.
~SJN

Thanks Joereal, I did not want to double up. I have a beautiful Cara Cara.(Thanks to Four Winds) A couple nurseries are offering Red Navel, and it was so tempting. All the info. I gathered led to me believe it was a Cara Cara. I just had to make sure.....Mantis212

Yes SJN. The way I keep them in check is to graft the less vigorous branches unto the other branches of the more vigorous ones. It keeps the tree well balanced too.

Here's what I observed so far. Blood oranges and other pigmented navels have vigorous growth on navel stocks. Valencia types of pigmented oranges seem to have less vigor on the pigmented navel stocks.

The Red Valencia (VI 647) and the Rohde Red Valencias (VI 487) grow vigorously on Washington Navel stock.