Technicks are abilities that do not require Myst to be used. There is a large variety of different ones to choose from, each with unique abilities. Some will help reduce Myst consumption, while others will enhance stats and other abilities. The Numerology, Horology, and Traveler require your game stats to put the hurt on enemies. You should try each different Technick at least once, and see if there are any you like using.
Below the list of Technicks is the damage tables for Numerology, Horology, and Traveler.

Name	LP	Effect	Cost	Location
Steal	15	Steal from one foe.	1,600	Rabanastre
Libra	20	Reveal more detailed target information.	500	Balfonheim
Poach	30	Capture HP-critical foes to obtain Loot without receiving EXP/LP.	7,000	Rabanastre Nalbina Town Bhujerba
First Aid	20	Restore HP to one HP-critical ally.	700	Rabanastre Nalbina Town
Telekinesis	80	Deal ranged damaged with melee weapons	7,100	Necrobol of Nabudis
Numerology*	40	Deal damage that increases with successive hits.	2,048	Rabanastre Nalbina Town
Souleater	35	Consume HP to deal damage to one foe.	6,400	Rabanastre Nalbina Town Bhujerba
Sight Unseeing	40	Unleash an attack only available when Blind.	6,800	Rabanastre Jahara
Charm	30	Cause one foe to confuse friend with foe.	5,000	Rabanastre Jahara
Achilles	40	Render one foe vulnerable to an additional element.	8,800	Rabanastre Jahara
Charge	30	Restore user's MP. If the Technick falls MP is reduced to 0.	1,700	Rabanastre Nalbina Town Bhujerba
Infuse	35	Expend all MP changing one ally's HP to 10x that amount.	2,000	Rabanastre Jahara Archades
Gil Toss	35	Throw Gil damaging all foes in range.	2,000	Rabanastre Jahara Nalbina Town
1000 Needles	35	Deal 100 damage to one foe.	7,000	Mosphoran Highwaste
Revive	40	Full consumer HP fully restoring the HP of one KO'd ally.	10,000	Balfonheim Prt
Stamp	40	Inflict one foe with any status effect on user.	4,500	Archades
Shades of Black	40	Cast random Black Magick on one foe.	5,000	Archades
Traveller*	65	Deal damage based on total steps taken to all foes in range.	6,700	Rabanastre Nalbina Town
Horology*	55	Deal damage based on a factor of time to all foes in range.	2,000	Rabanastre Nalbina Town Bhujerba
Bonecrusher	30	Damage all foes in range over time.	700	Rabanastre Archades
Wither	35	Increase fire damage dealt to all foes in range.	3,500	Balfonheim Port
Addle	30	Damage all foes in range over time.	3,500	Rabanastre Archades
Expose	35	Increase fire damage dealt to all foes in range.	3,800	Balfonheim Port
Shear	3 0	Damage all foes in range over time.	3,600	Rabanastre Jahara Nalbina Town

Numberology
Successive Hits	Targeted Enemies		Range Enemies
	Chance of Hit (%)	Damage (HP)	Chance of Hit (%)	Damage (HP)
2	85	2	84	4
4	83	8	81	16
6	79	32	76	64
8	73	128	69	256
10	65	512	60	1,024
12	55	2,048	49	4,096
14	43	8,192	36	16,384
16	29	32,768	21	65,536
18	0	-	-	-

Traveler Steps Damage (HP) 0 0 1 Level x0.5 2 Level x2 3 Level x4

Horology Minute Damage (HP) 0 0 1 Level x0.5 2 Level x2 3 Level x4 4 Level x8 5 Level x12.5 6 Level x18 7 Level x24.5 8 Level x32 9 Level x40