Ultimate Masters Collation

Ultimate Masters is a large set with 101 commons, 80 uncommons, 53 rares, and 20 mythic rares. Compared to normal large sets of this era, there are five extra mythic rare cards. Every pack contains a foil card. The set was printed in Japan.

Ultimate Masters was sold in 15 card booster packs (which contain an additional ad card). Booster boxes have 24 packs.

Pack Anatomy

Ultimate Masters uses sequential collation with (probably) 112 card sheets (which seems to be the usual for Japan). The dimensions of the sheets are not known. The runs are configured differently than what may be familiar from sets printed in the USA or Belgium.

Packs are front-facing starting with the ad card, then the foil card, then the rare, 3 uncommons, and 10 commons.

1 Ad Card1 Foil1 Rare3 Uncommons10 Commons

There are 3 common runs: A, B, and C. A contains 27 distinct cards, and B and C each contain 37 distinct cards. Each pack gets 2 to 3 cards from A followed by 3 to 4 cards from B and 3 to 4 cards from C. This means packs are either 2-4-4, 3-3-4, or 3-4-3. The ratios can be calculated mathematically (assuming commons from each run are equally common). The result is that these three pack types occur in a 33 : 34 : 34 ratio.

AABBBBCCCC
AAABBBCCCC
AAABBBBCCC

There are two uncommon runs: A and B. A contains 24 distinct cards, and B contains 56 distinct cards. Packs can either contain one A card followed by two B cards, or no A cards and three B cards. The ratio of these pack types can also be calculated mathematically (assuming uncommons from each run are equally common). The result is that the odds are 9 : 1 in favor of getting an A card.

There are two rare runs. One contains 20 cards each three times for a 60 card run, and the other contains 33 cards each twice for a 66 card run. (I'm not sure how this makes sense with 112 card sheets.) The mythic rares are printed separately. (The classic solution of printing mythic rares half as often on the same sheet as rares wouldn't work anyway with the extra mythics in this set.) Mythic rares replace rare cards about 1/8 of the time. This means the chance of getting a particular mythic is about 1/160 as compared to the 1/120 or 1/121 from normal set.

The chances of getting a foil of a particular rarity are not known exactly, but empirically, I observed 549 commons, 161 uncommons, 52 rares, and 6 mythic rares over 32 boxes.

Common Runs

The A common run consists of 27 different cards each appearing four times (which would leave 4 fillers on a 112 card sheet). These cards are mostly blue. The choice of first card is mostly arbitrary.

Treasure CruiseScuzzback MaraudersAethersnipeMad ProphetJust the WindWingsteed RiderRune SnagCanker Abomination
Stitcher's ApprenticeHissing IguanarWhirlwind AdeptHyena UmbraFrantic SearchFire // IceFlight of FancySatyr Wayfinder
Sultai SkullkeeperCathodionThink TwiceReckless WurmRune SnagFaith's FettersSkywing AvenFiery Temper
AethersnipeTerramorphic ExpanseTreasure CruiseStitched DrakeScuzzback MaraudersDeranged AssistantMad ProphetArchaeomancer
Wingsteed RiderWhirlwind AdeptFire // IceThink TwiceReckless WurmStitcher's ApprenticeHyena UmbraFlight of Fancy
Canker AbominationFrantic SearchSatyr WayfinderJust the WindCathodionRune SnagHissing IguanarSultai Skullkeeper
Hyena UmbraSkywing AvenFiery TemperAethersnipeTerramorphic ExpanseDeranged AssistantStitched DrakeScuzzback Marauders
Treasure CruiseMad ProphetArchaeomancerFaith's FettersWhirlwind AdeptCanker AbominationFrantic SearchHissing Iguanar
Think TwiceWingsteed RiderFlight of FancyCathodionJust the WindSatyr WayfinderSkywing AvenFire // Ice
Stitcher's ApprenticeReckless WurmArchaeomancerHyena UmbraSultai SkullkeeperFiery TemperAethersnipeScuzzback Marauders
Treasure CruiseStitched DrakeTerramorphic ExpanseDeranged AssistantReckless WurmJust the WindFaith's FettersWhirlwind Adept
Canker AbominationRune SnagMad ProphetThink TwiceWingsteed RiderFlight of FancyCathodionStitcher's Apprentice
Satyr WayfinderFrantic SearchFire // IceArchaeomancerHissing IguanarSultai SkullkeeperFaith's FettersSkywing Aven
Fiery TemperDeranged AssistantTerramorphic ExpanseStitched Drake

The B common run consists of 37 different cards each appearing three times (which would leave 1 filler on a 112 card sheet). The cards are mostly black and green. The choice of first card is mostly arbitrary.

Crow of Dark TidingsMiming SlimeWalker of the GroveGhoulcaller's AccompliceWild MongrelFoilGrave ScrabblerGroundskeeper
Gurmag AnglerEel UmbraCrushing CanopySlum ReaperHooting MandrillsDeath DeniedSanitarium SkeletonVerdant Eidolon
Gurmag AnglerBasking RootwallaFume SpitterPatchwork GnomesKodama's ReachTwins of Maurer EstateDefy GravityStaunch-Hearted Warrior
Olivia's DragoonOffalsnoutShed WeaknessDark DabblingWickerbough ElderMark of the VampireGolgari BrownscalePulse of Murasa
Moan of the UnhallowedMiming SlimeUnholy HungerBloodflow ConnoisseurGroundskeeperLast GaspSpider UmbraBasking Rootwalla
Grave ScrabblerWild MongrelFoilGhoulcaller's AccomplicePrey UponCrow of Dark TidingsDefy GravityWalker of the Grove
Slum ReaperHooting MandrillsTwins of Maurer EstateSanitarium SkeletonVerdant EidolonOlivia's DragoonGroundskeeperOffalsnout
Patchwork GnomesKodama's ReachMark of the VampireEel UmbraCrushing CanopyLast GaspDeath DeniedBasking Rootwalla
Dark DabblingHooting MandrillsBloodflow ConnoisseurPrey UponStaunch-Hearted WarriorMoan of the UnhallowedSpider UmbraUnholy Hunger
Fume SpitterGolgari BrownscaleCrow of Dark TidingsMiming SlimePulse of MurasaGhoulcaller's AccompliceWild MongrelDefy Gravity
Twins of Maurer EstateWalker of the GroveGurmag AnglerFoilVerdant EidolonSlum ReaperWickerbough ElderGrave Scrabbler
Sanitarium SkeletonCrushing CanopyOlivia's DragoonShed WeaknessPatchwork GnomesDeath DeniedKodama's ReachOffalsnout
Eel UmbraStaunch-Hearted WarriorMoan of the UnhallowedFume SpitterGolgari BrownscaleDark DabblingWickerbough ElderMark of the Vampire
Prey UponPulse of MurasaLast GaspSpider UmbraBloodflow ConnoisseurUnholy HungerShed Weakness

The C common run consists of 37 different cards each appearing three times (which would leave 1 filler on a 112 card sheet). The cards are mostly white and red. The choice of first card is mostly arbitrary.

Molten BirthUlamog's CrusherTethmos High PriestAkroan CrusaderMammoth UmbraRepel the DarknessRaid BombardmentDimir Guildmage
ResurrectionFaithless LootingVessel of Endless RestConvictionGenerator ServantSafehold EliteLotus-Eye MysticsReckless Charge
Shielding PlaxWandering ChampionArena AthleteMyr ServitorRonom UnicornIngot ChewerDimir GuildmageMammoth Umbra
Thermo-AlchemistDouble CleaveHeliod's PilgrimNightbird's ClutchesTurn to MistTethmos High PriestSparkspitterMartyr of Sands
Generator ServantRepel the DarknessUndying RageUlamog's CrusherSkyspear CavalryRaid BombardmentBeckon ApparitionGods Willing
Akroan CrusaderLotus-Eye MysticsIcatian CrierMolten BirthRakdos Shred-FreakMammoth UmbraSoul's FireSafehold Elite
ConvictionReckless ChargeDimir GuildmageAngelic RenewalThermo-AlchemistVessel of Endless RestTethmos High PriestArena Athlete
Shielding PlaxResurrectionNightbird's ClutchesMyr ServitorGods WillingFaithless LootingUlamog's CrusherHeliod's Pilgrim
Ingot ChewerRakdos Shred-FreakLotus-Eye MysticsAkroan CrusaderMartyr of SandsUndying RageRonom UnicornSoul's Fire
Double CleaveAngelic RenewalRaid BombardmentShielding PlaxIcatian CrierSparkspitterRepel the DarknessWandering Champion
Molten BirthTurn to MistRonom UnicornFaithless LootingSafehold EliteConvictionGenerator ServantBeckon Apparition
Skyspear CavalryUndying RageRakdos Shred-FreakWandering ChampionReckless ChargeDouble CleaveResurrectionNightbird's Clutches
Vessel of Endless RestHeliod's PilgrimThermo-AlchemistMyr ServitorAngelic RenewalIngot ChewerTurn to MistIcatian Crier
SparkspitterMartyr of SandsArena AthleteGods WillingSoul's FireBeckon ApparitionSkyspear Cavalry

Uncommon Runs

The A uncommon run consists of 24 different cards each appearing four times (which would leave 16 fillers on a 112 card sheet which could just be two rows if the width is 8 cards). The choice of first card is mostly arbitrary.

Lava SpikeSpider SpawningUnstable MutationVengeful RebirthStream of ConsciousnessAncestor's ChosenShriekmawDawn Charm
Desperate RitualFiend HunterHeap DollSlippery BogleMage-Ring NetworkMurderous RedcapMistveil PlainsVengeful Rebirth
FecundityKitchen FinksSongs of the DamnedMiraculous RecoveryCountersquallEternal WitnessAppetite for BrainsLava Spike
Dreamscape ArtistStream of ConsciousnessSpider SpawningAncestor's ChosenFirewing PhoenixUnstable MutationDesperate RitualSlippery Bogle
Fiend HunterDawn CharmMistveil PlainsShriekmawHeap DollMage-Ring NetworkKitchen FinksFecundity
Miraculous RecoveryLava SpikeMurderous RedcapSongs of the DamnedEternal WitnessCountersquallAppetite for BrainsSpider Spawning
Dawn CharmStream of ConsciousnessVengeful RebirthDesperate RitualFiend HunterUnstable MutationSlippery BogleDreamscape Artist
Lava SpikeShriekmawHeap DollFirewing PhoenixFecundityMistveil PlainsKitchen FinksSongs of the Damned
Miraculous RecoveryMage-Ring NetworkMurderous RedcapCountersquallAncestor's ChosenVengeful RebirthDawn CharmEternal Witness
Unstable MutationSpider SpawningAppetite for BrainsFirewing PhoenixSlippery BogleFiend HunterFecundityDreamscape Artist
Stream of ConsciousnessShriekmawDesperate RitualMage-Ring NetworkAncestor's ChosenMurderous RedcapHeap DollKitchen Finks
Appetite for BrainsMistveil PlainsDreamscape ArtistSongs of the DamnedFirewing PhoenixMiraculous RecoveryCountersquallEternal Witness

The B uncommon run consists of 56 different cards each appearing twice (which would fill up a 112 card sheet). The choice of first card is mostly arbitrary.

Shirei, Shizo's CaretakerTravel PreparationsMarang River ProwlerBoar UmbraApprentice NecromancerBrazen ScourgeWild HungerForbidden Alchemy
Snake UmbraAngel of DespairFurnace CelebrationSwift ReckoningGarna, the BloodflameHero of Leina TowerRally the PeasantsGhoulsteed
Sigil of the New DawnBrawnLiving LoreYoung PyromancerReviving VaporsChainer's EdictHero of IroasGolgari Thug
AngerCircular LogicRogue's PassageUrban EvolutionSwift ReckoningSleight of HandBuried AlivePenumbra Wurm
Blast of GeniusRise from the TidesBrazen ScourgeUnburial RitesPrismatic LensSpirit CairnMystic RetrievalConflagrate
Marang River ProwlerTravel PreparationsFurnace CelebrationBecome ImmenseGrave StrengthRolling TemblorHero of IroasDevoted Druid
Laboratory ManiacRally the PeasantsWarleader's HelixDakmor SalvageStingerfling SpiderMalevolent WhispersMahamoti DjinnPlumeveil
Emancipation AngelMagmawGolgari CharmBoneyard WurmPhalanx LeaderHero of Leina TowerApprentice NecromancerWild Hunger
Artisan of KozilekGhoulsteedReviving VaporsBuried AliveSigil of the New DawnForbidden AlchemyShirei, Shizo's CaretakerGarna, the Bloodflame
Iridescent DrakeAngel of DespairSleight of HandYoung PyromancerChainer's EdictUrban EvolutionAngerLiving Lore
Snake UmbraLaboratory ManiacBoar UmbraUnburial RitesCircular LogicConflagrateEmancipation AngelRise from the Tides
Rolling TemblorGrave StrengthMahamoti DjinnBlast of GeniusGolgari ThugDevoted DruidRogue's PassageMagmaw
Mystic RetrievalStingerfling SpiderSpirit CairnBrawnWarleader's HelixArtisan of KozilekBecome ImmenseGolgari Charm
Prismatic LensBoneyard WurmPlumeveilMalevolent WhispersPhalanx LeaderIridescent DrakePenumbra WurmDakmor Salvage

Token Run

All of the marketing cards in Ultimate Masters have a token on the front face. There is a 112 card sequence with different tokens appearing different numbers of times.

SpiritWurmElementalZombieSpark ElementalMarit LageHomunculusSpider
ElementalZombieCitizenSoldierElementalZombieSpiderSoldier
ElementalElementalSpiritZombieHomunculusDrakeSpiritSpark Elemental
ZombieCitizenOozeElementalElementalWurmSpiderHomunculus
Faerie RogueZombieElementalZombieSpiritZombieSpiritSpark Elemental
ZombieOozeZombieHomunculusSoldierSpiderZombieElemental
CitizenSpark ElementalDrakeElementalOozeZombieElementalFaerie Rogue
SpiderZombieHomunculusSpiritWurmSpiritZombieElemental
Marit LageOozeElementalCitizenZombieSpiderElementalSpark Elemental
DrakeZombieHomunculusOozeZombieSpiritFaerie RogueSpark Elemental
ElementalZombieElementalCitizenZombieElementalWurmSpider
HomunculusOozeSpiritZombieElementalSpark ElementalZombieSpirit
DrakeElementalElementalOozeElementalCitizenSpiderSoldier
HomunculusZombieSpark ElementalFaerie RogueElementalZombieOozeZombie

Token Rarity
Marit LageMarit Lage × 2DrakeDrake × 4Faerie RogueFaerie Rogue × 4
SoldierSoldier × 4SpiritSpirit × 4WurmWurm × 4
CitizenCitizen × 6ElementalElemental × 6SpiritSpirit × 6
ElementalElemental × 8ElementalElemental × 8HomunculusHomunculus × 8
OozeOoze × 8Spark ElementalSpark Elemental × 8SpiderSpider × 8
ZombieZombie × 24