Scale degree mapper calculator

Calculate scale pitches including closing tonic and MIDI note numbers with your own figures.

Your numbers

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

Use scale pitches including closing tonic and MIDI note numbers to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Starting tonic with octave
C4
Ascending scale intervals from tonic (semitones)
0,2,4,5,7,9,11
Complete octaves plus closing tonic
2
Spelling: sharps or flats
sharps
Scale pitches including closing tonic
C4, D4, E4, F4, G4, A4, B4, C5, D5, E5, F5, G5, A5, B5, C6
MIDI note numbers
60, 62, 64, 65, 67, 69, 71, 72, 74, 76, 77, 79, 81, 83, 84
Degree positions
1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1

Try another scenario

Starting tonic with octave
A3
Ascending scale intervals from tonic (semitones)
0,3,7
Complete octaves plus closing tonic
1
Spelling: sharps or flats
sharps
Scale pitches including closing tonic
A3, C4, E4, A4
MIDI note numbers
57, 60, 64, 69
Degree positions
1, 2, 3, 1
Calculation method

Calculation method

Scale pitches including closing tonic

Repeat the supplied ordered within-octave intervals for each octave, then append the next octave tonic.

MIDI note numbers

Tonic MIDI number + octave × 12 + scale interval.

Degree positions

Degree indices restart at 1 each octave; the final closing tonic is degree 1.

Symbols and units
a
Starting tonic with octave
b
Ascending scale intervals from tonic (semitones)
c
Complete octaves plus closing tonic
d
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

  • A custom chromatic interval map, not an inferred musical mode. Uses scientific octave numbering and an explicit closing tonic. Spelling follows the selected chromatic sharp/flat list.
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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