DPS calculator

This calculator computes your melee max hit using the standard Old School RuneScape formula, with custom additions (Divine Overload, Sanguine Scythe of Vitur, Royal/Divine zone). It is the first step toward a full DPS calculator; accuracy and attack speed are not modelled yet.

Formula

Boosted Strength    = floor(Strength + Potion Boost)
Effective Strength  = floor((Boosted Strength + Style Bonus + 8) × Prayer Multiplier)
Max Hit             = floor(Effective Strength × (Strength Bonus + 64) / 640)
Salve Max Hit       = floor(Max Hit × 1.20)   (Salve Amulet (ei), vs undead only, applied first)
Sanguine Max Hit    = floor(Salve Max Hit × 1.05)   (Sanguine Scythe of Vitur only, +5% vs NPCs)
Boss Scroll Max Hit = floor(Sanguine Max Hit × 1.10)   (The Boss scroll, vs NPCs)
Zone Max Hit        = floor(Boss Scroll Max Hit × 1.10)   (only in Royal/Divine zone)

Boosts

Potion	Strength boost
Super Combat Potion	5 + floor(Level × 0.15)  (+19 at 99)
Smouldering Heart/CoX Overload	6 + floor(Level × 0.16)  (+21 at 99)
Divine Overload	5 + floor(Level × 0.22)  (+26 at 99)

Prayers

Prayer	Multiplier
Burst of Strength	×1.05
Superhuman Strength	×1.10
Ultimate Strength	×1.15
Chivalry	×1.18
Piety	×1.23

Attack styles

Style	Bonus
Aggressive	+3
Controlled	+1
Accurate / Defensive	+0

Other modifiers

Effect	Multiplier	Notes
Salve Amulet (ei)	×1.20	vs undead only; applied first
Royal/Divine zone	×1.10	in the Royal/Divine zone, or for Royal Donators and higher vs revenants anywhere; applied last, before the scythe split
Boss Scroll	×1.10	vs NPCs; applied after Salve and the Sanguine Scythe bonus, before the zone bonus

Scythe of Vitur

The Scythe of Vitur splits its max hit into multiple hits depending on the NPC size; every hit rounds down individually. Example with a max hit of 51: 51-25-12.

Weapon	NPC size	Hits
Scythe of Vitur	Small (1×1)	[max]
Scythe of Vitur	Medium (2×2)	[max, floor(max / 2)]
Scythe of Vitur	Large (3×3+)	[max, floor(max / 2), floor(max / 4)]
Sanguine Scythe of Vitur	Any (except 2×2)	[max, floor(max / 2), floor(max / 2), floor(max / 4)]
Sanguine Scythe of Vitur	2×2 (bugged)	[max, floor(max / 2), floor(max / 2)], only 3 hits instead of 4
Holy Scythe of Vitur	Any	[max, floor(max / 2), floor(max / 4)]

Note: The Holy Scythe of Vitur adds +1 max hit for every 10 Prayer points you have left (vs NPCs). With The Reaper scroll active, the normal Scythe of Vitur hits like on a large NPC (3 hits) on every NPC size.

Note: The Sanguine Scythe is intended to hit 4× on all NPC sizes, but 2×2 NPCs are currently bugged and only receive 3 hits. It also deals +5% damage vs NPCs (does not apply to players). In-game verified: 2×2 max 15 -> 15-7-7, max 10 -> 10-5-5; 1×1 max 8 -> 8-4-4-2.

Note: The Divine Overload boost (5 + floor(Level × 0.22), +26 at 99 Strength) is taken from the game code.