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Harmony Interval

Build a harmony voice above and below a note using a chosen interval.

About Harmony Interval

A harmony voice sits a chosen musical interval above or below the lead, each derived from the same frequency ratio. Arranging vocals or instruments in thirds, fifths and octaves is the foundation of richer, fuller mixes.

Formula

Harmony Interval

Harmony = lead x 2^(interval/12) above, and the inverse below

interval
The named harmonic distance from the lead voice

Worked example

With the default values below, Harmony Interval returns Harmony Above of 554.37. Change any input above and every figure here is recalculated in your browser.

Inputs used

Lead noteminimum 1 Hz
440 Hz
Harmony intervalone of Unison, Minor 2nd, Major 2nd, Minor 3rd, Major 3rd, Perfect 4th, Perfect 5th, Major 6th, Octave
Major 3rd

Results

Harmony Above
554.37 Hz
Harmony Below
349.23 Hz
Interval Size
400 cents

Step by step

  1. 1Values used
  2. 2Harmony Interval
  3. 3Harmony Above= 554.37 Hz
  4. 4Harmony Below= 349.23 Hz
  5. 5Interval Size= 400 cents

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is Harmony Interval calculated?

Harmony = lead x 2^(interval/12) above, and the inverse below A harmony voice sits a chosen musical interval above or below the lead, each derived from the same frequency ratio.

Why does Harmony Interval matter?

Arranging vocals or instruments in thirds, fifths and octaves is the foundation of richer, fuller mixes.

What values do I need to enter?

This calculator takes 2 inputs: Lead note, Harmony interval. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.

Harmony Interval – Calculate Harmony Above & Harmony Below