Model comparison

GPT-5.6 Luna vs Hermes 4 405B

GPT-5.6 Luna has enough public results to be ranked (#30); Hermes 4 405B does not yet, so treat this comparison as directional.

Last verified . 2 shared benchmarks.

GPT-5.6 Luna OpenAI

54.6

Rank #30 Confirmed

Hermes 4 405B Nous Research

37.6

Unranked Sparse

Summary

  • They share 2 benchmarks with published results for both. GPT-5.6 Luna scores higher in 2 categories and Hermes 4 405B in 0 categories; 2 gaps are clear of the uncertainty.
  • The widest gap is in reasoning, where GPT-5.6 Luna leads 47.6 to 26.1.
  • The biggest single-benchmark swing is Kagi LLM Benchmark: 49.1% for GPT-5.6 Luna and 55.8% for Hermes 4 405B.
  • GPT-5.6 Luna is cheaper at $0.20 / $1.20 per million input/output tokens, against $1 / $3 for Hermes 4 405B.
  • GPT-5.6 Luna accepts more context: 1.05M tokens versus 131K.
  • Hermes 4 405B has downloadable open weights; the other is API-only.

Side by side

GPT-5.6 Luna and Hermes 4 405B specifications
GPT-5.6 LunaHermes 4 405B
ProviderOpenAINous Research
Noometry Index54.637.6
Released2026-07-09—
WeightsProprietaryOpen
Context window1.05M131K
Max output128K118K
Input $ / M tokens$0.20$1
Output $ / M tokens$1.20$3
Results tracked522

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Category by category

Coding Not comparable

GPT-5.6 Luna: 54.5 (#28), Hermes 4 405B: —

Coding benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
DeepSWE67.2%—
FrontierCode39.8%—
CursorBench35.9%—
LMArena WebDev1519—
SciCode53.6%—
WeirdML60.9%—
LMArena Coding1466—
ALE-Bench1,667—

Agentic & Tool Use Not comparable

GPT-5.6 Luna: 34.4 (#45), Hermes 4 405B: —

Agentic & Tool Use benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
APEX-Agents43%—
BALROG45.6%—
GDP.pdf22.7%—
Vending-Bench 24,095—

Reasoning GPT-5.6 Luna leads

GPT-5.6 Luna: 47.6 (#43), Hermes 4 405B: 26.1

Reasoning benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
Kagi LLM Benchmark49.1%55.8%
ARC-AGI-259.5%—
SimpleBench46.8%—
NYT Connections (extended)69.4%—
ARC-AGI-188%—
CritPt20.6%—
Chess Puzzles40%—
LMArena Hard Prompts1451—
Mystery Game Puzzles21%—
DTBench89.1%—
LMCA48.5%—
Surface Evolver Bench61.9%—
Epoch Capabilities Index156.39—

Math Not comparable

GPT-5.6 Luna: 77.7 (#14), Hermes 4 405B: —

Math benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
FrontierMath (Tiers 1-3)82.1%—
FrontierMath Tier 461%—
OTIS Mock AIME 2024-202598.3%—
ProofBench60%—
LMArena Math1458—

Knowledge Not comparable

GPT-5.6 Luna: 58.5 (#34), Hermes 4 405B: —

Knowledge benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
GPQA Diamond91.6%—
SimpleQA Verified41%—
LMArena Expert1478—

Multimodal Not comparable

GPT-5.6 Luna: 42.7 (#28), Hermes 4 405B: —

Multimodal benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
LMArena Vision1258—
Blueprint-Bench 222.6%—
Furniture Assembly42.5%—
LMArena Document1457—

Multilingual Not comparable

GPT-5.6 Luna: 52.8 (#78), Hermes 4 405B: —

Multilingual benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
LMArena Non-English1417—
LMArena Chinese1470—
LMArena French1456—
LMArena German1454—
LMArena Japanese1411—
LMArena Korean1415—
LMArena Russian1428—
LMArena Spanish1448—

Instruction Following Not comparable

GPT-5.6 Luna: 75.6 (#57), Hermes 4 405B: —

Instruction Following benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
LMArena Instruction Following1437—

Long Context Not comparable

GPT-5.6 Luna: 43.9 (#82), Hermes 4 405B: —

Long Context benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
LMArena Longer Query1436—

Writing & Preference GPT-5.6 Luna leads

GPT-5.6 Luna: 68.0 (#29), Hermes 4 405B: 52.9

Writing & Preference benchmarks
BenchmarkGPT-5.6 LunaHermes 4 405B
EQ-Bench Creative Writing18291421
LMArena Text1431—
LMArena Creative Writing1396—
EQ-Bench 41156—
LMArena Multi-Turn1434—

Frequently asked questions

Is GPT-5.6 Luna better than Hermes 4 405B?

GPT-5.6 Luna has enough public results to be ranked (#30); Hermes 4 405B does not yet, so treat this comparison as directional.

Which is cheaper, GPT-5.6 Luna or Hermes 4 405B?

GPT-5.6 Luna is cheaper. It lists at $0.20 per million input tokens and $1.20 per million output tokens; Hermes 4 405B lists at $1 and $3.

Which has the bigger context window?

GPT-5.6 Luna does, with 1.05M tokens against 131K.

How many benchmarks do GPT-5.6 Luna and Hermes 4 405B share?

2 benchmarks have published results for both models. GPT-5.6 Luna has 52 scored results on Noometry and Hermes 4 405B has 2.

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