Chi (Earth) Sanshin Ken (Three Finger Strike)
Sui (Water) Jodan Uke (High Block) and Omote Shuto Kubi (Outer Strike)
Ka (Fire) Jodan Uke (High Block) and Ura Shuto Kubi (Inner Strike)
Fu (Wind) Gedan Uke (Low Block) and Boshi Ken (Thumb Strike)
Ku (Void) Gedan Uke (Low Block) and Meysubushi (Distraction) and Keri (Kick)

Sanshin No Kata / Gogyo No Kata. Are they the same thing?

I have seen several versions of Sanshin No Kata over the years and everyone does it slightly different and yet the principles seem the same. However it appears to me that Sanshin No Kata would be used to teach flow whereas I believe that Gogyo would have more of an attacking nature.
Lets look at the the differences: (note: the way I describe the techniques come from my personal hand written notes right or wrong Sanshin circa 1986 and Gogyo circa 1996)

Chi
Attacker punches defender drops back from shizen diagonally backwards with right arm flowing in line with right leg. Defender then steps forward and arm swings up in a pendulum like manner, the fingers forming a birds beak (Sanshinken, 3 finger strike) that strikes under the chin of the attacker (or to the side of neck).

Appears similar in both Kata

Sui
Version 1: Attacker punches to head. Defender drops back from shizen diagonally backwards into Ichimongi and perform a Jodan Uke (upper block) then steps forwards and performs a Omote Shuto Kubi from a shoulder high hand position
Version 2: Defender is already in Shoshin and performs Jodan Uke then steps forwards and performs a Omote Shuto Kubi but this time the strike comes from the hip

Ka Same as above but Ura

Fu
Version 1: Attacker kicks. Defender drops back from shizen diagonally backwards into Ichimongi and perform a Gedan Uke (lower block). He then steps in and performs a Boshiken (thumb strike) to the attackers inner thigh.
Version 2: Similar to above but with defender already in Shoshin and the boshiken could be applied to the groin area.

Ku
Version 1: Attacker kicks. Defender drops back from shizen diagonally backwards into Ichimongi and perform a Gedan Uke (lower block). He then steps in with a distraction technique and follows through with a front kick.
Version 2: Attacker kicks. Defender is in Shoshin no kamae and raises the back hand above the head to attract the opponent's attention while kicking a Zenpo-keri.

So it would appear that Gogyo No Kata starts from a 'ready' position while Sanshin No Kata starts from a 'relaxed' position and therefor takes longer to perform.

Kihon Happo (Original Version)
Ichimonji / Doko Omote
Ichimonji / Doko / Jumongi Ura
Hicho
Omote Gyaku
Omote Gyaku / Tsuki
Ura Gyaku
Musha Dori
Musa Dori

Ichimonji / Doko Omote
Attacker (in Doko) punches to head. Defender (in Ichimonji) drops diagonally backwards to the right and performs an upper block to attacking arm. Defender then steps forward and performs a Fudo Ken to head.

Ichimonji / Doko / Jumonji Ura
Attacker (in Doko) punches to head. Defender (in Ichimonji) drops diagonally backwards to the left into Jumonji and performs an upper block to the attacking arm. Defender then steps in and performs and Fudo or Shikanken strike to the kidneys.

Hicho
Defender stands in Hicho (on one leg). Attacker (in Bobi) punches to the stomach. Defender performs a lower sweeping block, and then kicks to the lower ribs. Defender then drops forward and performs an omote shuto to the neck.

Ura Gyaku
Attacker grabs defenders lapel with his right hand. Defender covers this hand to prevent the attacker escaping/using it to punch. Defender steps diagonally back to the right taking the attacker off balance the performs an inner wrist lock. Stepping forward he rotates the attackers elbow takes him to ground.

Omote Gyaku
Attacker grabs defenders lapel with his right hand. Defender covers this hand to prevent the attacker escaping/using it to punch. Defender steps diagonally back to the left taking the attacker off balance the performs an outer wrist lock. Stepping in close the defender then locks the attackers arm and takes him to ground.

Omote Gyaku / Tsuki
Attacker grabs defenders lapel with his right hand. Defender covers this hand to prevent the attacker escaping/using it to punch. The attacker performs a hook punch with his left hand. Defender steps forward performing a shuto to the crook of the attacking arms elbow stopping the punch. The defender the turns anticlockwise while performing an outer wrist lock taking the attacker to the ground.

Musha/Mutto Dori
Attacker grabs defenders lapel with his right hand. Defender covers this hand to prevent the attacker escaping/using it to punch. Defender steps forward and performs an elbow lock taking the attacker to ground.

Muso Dori
Attacker grabs defenders lapel with his right hand. Defender covers this hand to prevent the attacker escaping/using it to punch. Defender steps forward and performs an elbow lock taking the attacker to ground. (Can also be from a hook punch as Omote Gyaku Tsuki) (Can interchange with Ganseki Nage)

Koshi Kihon Sanpo No Kata
Ichimonji
Doko
Jumonji

Hoshu Kihon Goho No Kata
Omote Gyaku
Omote Gyaku Tsuki
Ura Gyaku
Muso Dori
Musha Dori

Kamae No Kata (click for more details)
Shizen
Ichimonji
Doko
Fusets
Ryusui Fusets
Hicho
Kosei
Jumonji (henka)
Jumonji (kihon)
Ihen migi
Ihen hidari
Hira Ichimonji
Hoko
Kongo Gassho
Suwari gata
Seiza
Fudoza
Seiza