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keisanHigh-precision calculations for everyday life and work

Conversion Calculations for Interval Ratios and Cents

Author: 52BlackWhiteExecutions: 1103

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This is a converter between interval ratios and cents.
This is intended for stretch tuning as used on pianos.
Interval Ratios
Hz/Hz
Cent
㌣
c2 in the semitone interval ratio [1;16,1,c2] in the 12-tone equal temperament
This is the interval ratio for a minor second or major first in an acoustic piano 🎹.Please enter a value between 1.7181957397259333998073816625299013365273007797155 and less than 5.However, [1;16,1,c2] are continued fractions.
Interval ratio → number of cents ¢
Cent values → Interval ratios Hz/Hz
Frequency when the interval ratio is higher than C Hz
Frequency when it is higher by a cent from C Hz
Frequency when the interval ratio is higher than D Hz
Frequency when it is D cents higher Hz
Frequency when the interval ratio is higher in Pythagorean-C Hz
Frequency when the pitch is a cent higher than Pythagorean-C Hz
Frequency when the interval ratio is higher, from Pythagorean-D Hz
Frequency when the pitch is a cent higher than Pythagorean-D Hz

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