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Calcimator

Modulation Path Calculator

Plan a smooth modulation between two keys. Find pivot chords, common tones, and smoothness score.

Inputs

Results

Circle of Fifths Distance

1

Pivot Chord (semitone)0
Modulation Steps1
Common Tones6
Smoothness Score (1-10)9
How to Use This Calculator
  1. Enter Starting Key (0=C ... 11=B), Ending Key (0=C ... 11=B), and Start Mode (1=Major, 2=Minor).
  2. Set End Mode (1=Major, 2=Minor).
  3. Review the Circle of Fifths Distance result.
  4. Use Pivot Chord (semitone) and Modulation Steps to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

What each input means

Starting Key (0=C ... 11=B)
The starting key root note.
Ending Key (0=C ... 11=B)
The target key root note.
Start Mode (1=Major, 2=Minor)
Mode of the starting key.
End Mode (1=Major, 2=Minor)
Mode of the target key.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Starting Key (0=C ... 11=B) = 0, Ending Key (0=C ... 11=B) = 7, Start Mode (1=Major, 2=Minor) = 1, End Mode (1=Major, 2=Minor) = 1 = 4 input(s) provided
  2. Calculate Circle of Fifths Distance
    Circle of Fifths Distance
    1 = 1
  3. Calculate Pivot Chord
    Pivot Chord
    0 = 0
  4. Calculate Modulation Steps
    Modulation Steps
    1 = 1

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