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Not all, but most. If you look at some Ritual Monsters, they say they can 'only' be special summoned by a specific card, others do not. So you are free to summon a Relinquished using either Black Illusion Ritual, or Contract with the Abyss, or Advanced Ritual Art, but you could not use any other card other than "Ritual of Grace" to summon "Divine Grace - Northwemko".
All Ritual Summons are considered a Special Summon. However, not all Special Summons are considered a Ritual Summon. A Ritual Summon can only be performed with a Ritual Spell Card and a Ritual Monster. A Special Summon refers to any monster that is placed on the field in a way that is not a Normal Summon, Flip Summon, or Set. Also, Ritual Summons are never considered a Normal Summon.
Yes. Advanced Ritual Art can substitute in for almost any ritual card. For example, it can summon Divine Grace - Northwemko, despite that saying it can only be summoned by Ritual of Grace. Advanced Ritual Art can therefore summon Evigishki Gustrake, you don't necessarily have to use one of the three Gishki ritual spells.
Yes, mostly. Keep a close eye on the Ritual Card. If you look at Black Illusion Ritual, you can send a monster with one star or more, so any monster will do. The same goes for almost all the other cards who summon one specific monster, you can 'overpay' to some extent. So you could send a Blue-Eyes White Dragon for Black Illlusion Ritual, but not two Blue-Eyes. If you look at a Ritual Spell card which can summon more than one kind of Ritual Monster though, like 'End of the World', and 'Contract with the Abyss', these say you must send monsters with an Equal sum of levels. You could not use a Lv10 monster for summoning Demise or Ruin with the first, and if you wanted to summon Relinquished with the second, you could only do it with a Lv1 monster.
If a monster is set you cannot activate it. "Torrential Tribute" can only activate when any player performs a flip summon, normal summon, Ritual summon, Fusion summon or Special summon, but a set is different from a summon so you cannot activate "Torrential Tribute". The same applies to other cards that activate when a monster is summoned (like "Bottomless Trap Hole" and "Solemn Judgment").
Ritual monsters may only be special summoned from the graveyard if they were successfully summoned by Ritual Summon. If they were sent there in any other way - like simply discarded from hand, or improperly summoned by Ritual Foregone (it special summons but does not Ritual Summon), then you cannot revive them from the graveyard with cards like Monster Reborn or Fulfillment of the Contract.
Manju of the thousand hand can. when it is normal/flip summon ( no special) you can search your deck for a ritual monster or magic to put in your hand. Senju of the Thousand Hands does the same, but is only for monster. Sonic Bird works this way to search for Spell Cards only. (Unlike the other two, Sonic Bird is a Wind Type monster). BTW, all three of these are searchable with Sangan, because their attacks are 1500 or less.
A. monster reborn can special summon all type of monster from the grave this card can only be stopped by a trap while is activate or a quick spell
A special summon is any summon that doesn't count as a normal summon, so you can special summon as many monsters as you wish per turn. But someone can't just special summon a monster by themselves. In order to special summon a monster, there must be a card that lets you do so. For example, the card Call of the Haunted lets you special summon a monster from your graveyard. Or, a monster that lets you special summon it in some way is a special summon. Most monsters that let you special summon it have you need to have destroy or remove from play cards. For example, a monster that needs you to remove from play cards is Dark Necrofear. Dark Necrofear can only be special summoned by removing three Fiend-type monsters from your graveyard. Or, there are monsters that can be special summoned when a condition is met. For example, Tragoedia can be special summoned when you take damage. Or, there are monsters that let you special summon monsters from your deck. An example is UFO Turtle. UFO Turtle can special summon any FIRE-attribute monster from your deck with 1500 ATK or less when it is destroyed by battle. Also, Fusion Summoning, Ritual Summoning, and Synchro Summoning all count as Special Summoning.
yes, as long you did a normal summon any monster that turn.
Yes, a Special Summon of any kind does not count towards your limit of one Normal Summon or Set per turn. You can Special Summon as many times a s you want per turn.
Yes, you can Ritual Summon, or any other Special Summon as many times as you want per turn, every turn(Outside of cards that prevent you from summoning, i.e. Dark Magic Curtain).