Synth FM Ratio Calculator

Synth FM Ratio Calculator MCP Connector for Claude

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A deterministic FM synthesis engine for calculating harmonic ratios and sideband spectra.

3 tools Official Updated Oct 1, 2026 Official Vinkius Partner

This MCP server provides a deterministic Frequency Modulation (FM) synthesis engine. It allows AI agents to calculate the mathematical relationship between carrier and modulator frequencies, classify spectra as harmonic or inharmonic, and generate detailed sideband distributions. Use analyze_fm_ratio to find the C:M ratio, calculate_sideband_spectrum to map frequency/amplitude distributions, and identify_audible_frequencies to filter sidebands based on a specific amplitude threshold.

fm-synthesisaudio-engineharmonic-analysissidebandsbessel-function

3 tools expose this connector's capabilities to your AI agent.

calculate_sideband_spectrum

Generates a detailed list of the frequencies and relative amplitudes of the sidebands produced by the modulation

identify_audible_frequencies

Filters a spectrum to identify only those sidebands that possess sufficient amplitude to be perceived

analyze_fm_ratio

Determines the mathematical relationship between the carrier and modulator to classify the resulting sound type

See how to talk to your AI agent using Synth FM Ratio Calculator.

What is the C:M ratio for a carrier of 440Hz and a modulator of 220Hz?

The C:M ratio is 2:1, and the resulting spectrum is harmonic.

Calculate the sideband spectrum for a 440Hz carrier, 110Hz modulator, and 2.0 modulation index.

The sidebands include the carrier at 440Hz, and sidebands at 330Hz, 550Hz, 220Hz, 660Hz, 110Hz, and 770Hz with their respective calculated amplitudes.

Which frequencies are audible if the threshold is 0.1 for a 440Hz carrier and 220Hz modulator with index 1.5?

The audible frequencies above the 0.1 threshold are 440Hz, 220Hz, and 660Hz.

Harmonic spectra occur when the C:M ratio consists of simple integer relationships, resulting in musical tones. Inharmonic spectra occur when the ratio is complex or irrational, creating bell-like or metallic sounds.

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