This tool will give you the rational approximations (and what are known as semi-convergents) of a given interval in the left box, and the equal-division of the octave approximations in the right box. The approximations get more and more precise towards the bottom of the page.
- For a rational (just intonation) interval, enter a fraction in the form n/d, e.g. 3/2
- You can enter a floating point number, too, e.g. 1.25 (which is equivalent to 5/4)
- Equal divisions of an octave are entered by means of x\y, where x\y means "x steps out of y EDO." For example, 7\12 means 7 steps out of 12-EDO, and refers to the 700 cent interval.
- To enter a number in cents, simply type c\1200, where c is the number of cents you want, e.g. 702.156\1200 would be a 702.156 cents interval.
|Linear rational approximations (convergents in bold, semi-convergents in normal typeface):||EDO approximations (written as DEGREE\EDO; convergents in bold, semi-convergents in normal typeface):|