Math & Numbers
Gear Module Calculator
Calculate the gear module m. m = d/z = p/π. Solve the module from the pitch diameter d and tooth count z, or from the circular pitch p. Also returns the pitch diameter, circular pitch and addendum.
json· JSON resultOpen tool
Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/gear-module-calculator' \
-H 'Content-Type: application/json' \
-d '{"mode":"fromDiameter","pitchDiameter":100,"teeth":20,"circularPitch":0,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/gear-module-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | No | — |
| pitchDiameter | number | No | Used in 'Module from d and z' mode. |
| teeth | number | No | Used in 'Module from d and z' mode. |
| circularPitch | number | No | Used in 'Module from pitch p' mode. |
| decimalPlaces | number | No | — |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-gear-module-calculator": {
"name": "gear-module-calculator",
"description": "Calculate the gear module m. m = d/z = p/π. Solve the module from the pitch diameter d and tooth count z, or from the circular pitch p. Also returns the pitch diameter, circular pitch and addendum.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=gear-module-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "gear-module-calculator",
"arguments": {
"mode": "fromDiameter",
"pitchDiameter": 100,
"teeth": 20,
"circularPitch": 0,
"decimalPlaces": 4
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]