Musical transposition calculator

Calculate transposed note or chord roots and upward semitone interval with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use transposed note or chord roots and upward semitone interval to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Source tonic
C
Target tonic
D
Note or chord-root list
C,E,G,B
Output spelling: sharps or flats
sharps
Transposed note or chord roots
D, F#, A, C#
Upward semitone interval
2
Output pitch-class numbers
2, 6, 9, 1

Try another scenario

Source tonic
B
Target tonic
C
Note or chord-root list
C,E,G,B
Output spelling: sharps or flats
flats
Transposed note or chord roots
Db, F, Ab, C
Upward semitone interval
1
Output pitch-class numbers
1, 5, 8, 0
Calculation method

Calculation method

Transposed note or chord roots

Add the source-to-target pitch-class interval to each entered note, modulo 12.

Upward semitone interval

(Target pitch class − source pitch class) modulo 12, in the range 0 to 11.

Output pitch-class numbers

C=0 through B=11 for the transposed chromatic pitch classes.

Symbols and units
a
Source tonic
b
Target tonic
c
Note or chord-root list
d
Output spelling: sharps or flats

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Chromatic pitch-class transposition of note names or chord roots only. Chord quality, bass slashes, octaves and functional key spelling are excluded; use one letter with an optional # or b.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

MIDI Association: tuning specification ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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