carat_to_mm
Diameter in millimetres for a given carat weight. Round brilliant cut. Density-corrected per stone - a diamond chart is wrong for moissanite by ~9%.
carat必填stone
com.fitiny由 fitiny.com 發布官方發布者v1.0.0更新於 Oct 24, 2026
FITINY jewellery tools: density-corrected carat/mm, GIA grades, ISO 8653 ring sizes
針對莫桑石珠寶的託管參考伺服器:依密度修正的克拉與毫米換算、GIA 等級含義、戒指尺寸,以及項鍊與耳釘尺寸
Web executable,透過 Streamable HTTP。 遠端服務在工作區中設定後即可從網頁執行環境執行。
把這段提示詞貼上到 Claude Code、Codex、Cursor 等代理程式,或 SourceWeft 對話中。代理程式會讀取該伺服器的安裝指南,先向你展示發布者、端點和登入方式,經你同意後再把它新增到你的客戶端。金鑰不會寫進任何命令。
閱讀 https://sourceweft.com/mcp/com.fitiny%2Fmoissanite-tools/install.md,並按其中說明把這個 MCP 伺服器接入我的客戶端。修改任何設定之前,先告訴我它的發布者、端點和登入方式,等我確認。不要把 API 金鑰寫進命令或我會提交的檔案;問我金鑰應從哪裡取得。把它新增到你客戶端的 mcpServers 設定中。
{
"mcpServers": {
"moissanite-tools": {
"type": "http",
"url": "https://mcp.fitiny.com/mcp"
}
}
}[Moissanite grading and size chart]
Grading reference and carat↔millimetre conversion for moissanite — calculated, not copied.
Practically every carat/mm chart on the web is calculated for diamond. Moissanite has a different density (3.21 vs 3.52 g/cm³), so applying a diamond chart to moissanite is wrong by roughly 9%:
This is why moissanite is usually sold by millimetre rather than by carat — the same "1 carat" looks like a different size depending on the stone.
Cross-border ring buying goes wrong because the systems are unrelated: a US 6 is a UK M, not a UK 6. EU sizes under ISO 8653 are simply the inner circumference in millimetres.
Sizes that aren't on the chart return the nearest listed size flagged exact: false,
rather than inventing a value.
Two ways to run it.
Hosted — nothing to install. Point any MCP client at:
Listed in the official MCP Registry as com.fitiny/moissanite-tools.
Local — stdio:
Exposes six tools:
GIA's round-brilliant formula, scaled by relative density:
Accuracy against published diamond charts: 1.4% mean, 3.3% max. Real stones vary with cut proportions — treat the output as guidance, not as a substitute for weighing a stone.
Round brilliant only. Fancy shapes (oval, princess, emerald, pear) distribute weight differently and need shape-specific factors that aren't in here.
Colour and clarity scales follow the GIA diamond grading system, which the moissanite trade has adopted. The optical constants (refractive index, dispersion, Mohs hardness, density) are published gemmological values. Nothing here was scraped from another site — the conversion figures are computed from the formula above, which is why they can be released under MIT.
This is a descriptive reference, not a certification. A graded stone comes with a report from a gemmological laboratory; this repo just explains what those grades mean.
An interactive version runs at fitiny.com/pages/moissanite-grading.
MIT — see LICENSE. Maintained by FITINY Jewelry.
來源:README.md,提交 d3b57c4
Diameter in millimetres for a given carat weight. Round brilliant cut. Density-corrected per stone - a diamond chart is wrong for moissanite by ~9%.
carat必填stoneCarat weight for a given diameter in millimetres. Round brilliant cut.
mm必填stoneGIA colour (D-K) or clarity (FL-SI) scale as used for moissanite, or published optical constants for moissanite / diamond / cubic zirconia.
gradescale必填Convert a ring size between US, UK, EU (ISO 8653) and inner diameter in mm. A US 6 is a UK M, not a UK 6.
fromvalue必填Where a necklace of a given length sits, with the trade name (choker, princess, matinee...).
unitvalue必填How a round stud of a given stone diameter reads on the ear.
diameter_mm必填已滿足適用檢查項的 100%
該評分衡量此收錄條目的完整程度,依據註冊中心條目、端點與公開來源計算得出。它不是對伺服器本身的評價,也不表示伺服器安全或目前可用:可連通性是帶日期的檢查結果,評分也不包含安裝量或使用者評價。
data/grading.json GIA colour (D–K) and clarity (FL–SI) scales, plus published optical constants for moissanite / diamond / cubic zirconiadata/sizing.json ISO 8653 ring sizes (US/UK/EU/mm), necklace lengths, stud sizessrc/conversion.js carat ↔ mm for round brilliant cut, density-correctedsrc/sizing.js ring size conversion, necklace length and stud appearance lookupsmcp/server.js Model Context Protocol server exposing all of the aboveimport { caratFromMm, mmFromCarat, compareAtWeight } from './src/conversion.js';
mmFromCarat(1, 'moissanite'); // 6.65 mmmmFromCarat(1, 'diamond'); // 6.45 mmcaratFromMm(6.5, 'moissanite'); // 0.94 ct
compareAtWeight(1);// { carat: 1, moissanite_mm: 6.65, diamond_mm: 6.45, cz_mm: 5.49 }https://mcp.fitiny.com/mcpnode mcp/server.jsweight_ct = diameter_mm² × depth_mm × 0.0061 × (ρ_stone / ρ_diamond)depth_mm = diameter_mm × 0.612 (average depth ratio, well-cut round)