This is a temperament calculator for converting musical units (ratios, cents, frequencies) and to help position frets on stringed instruments.

To specify your own temperament select "Custom" from the menu. Separate notes with spaces. Write e.g. "3/1" or "A:3/1" for ratios, and "70.6" or "D:70.6" for cents.

Temperament:

Notes per Octave:

Ratio: is 1/1

Cents: is cents

Frequency: cents / ratio is Hz

Scale Length:

Name Ratio
(fraction)		 Ratio
(decimal)		 Cents Cents
(offset)		 Frequency Distance from Nut
first octave second octave third octave

Beat rates for the frequencies shown above:

Key 2
(10/9)		 2
(9/8)		 3♭
(6/5)		 3
(5/4)		 4
(4/3)		 5
(3/2)		 6♭
(8/5)		 6
(5/3)		 7♭
(7/4)		 7♭
(9/5)		 7
(15/8)