MUIC & ACOUTIC – CALE, TUNING & TEMPERAMENT CALCULATOR
Pythagorean Tuning
A precise tool.
What is the Pythagorean Tuning & How does it work?
The Pythagorean tuning system is an ancient method of musical tuning based on the ratios of small whole numbers, particularly the ratio 3:2, which defines the perfect fifth. This system was developed by the ancient Greeks and has been influential in Western music theory.
f_n = f_0 times (frac{3}{2})^n
f_n = frequency of the nth note, f_0 = reference frequency, n = number of perfect fifths from the reference note
In this system, each note is tuned to a power of 3/2 relative to a chosen starting note. This results in a series of pitches that are harmonically related and form the basis of many traditional Western scales.
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Frequently Asked Questions
What is Pythagorean tuning?
Pythagorean tuning is an ancient musical tuning system based on the perfect fifth ratio of 3:2.
How do I use this calculator for Pythagorean tuning?
Enter your reference frequency and the number of perfect fifths to calculate the resulting note’s frequency.
What is the significance of the 3:2 ratio in Pythagorean tuning?
The 3:2 ratio defines a perfect fifth, which is fundamental to constructing scales in this system.
Can I use this calculator for other tunings besides Pythagorean?
This specific calculator is designed for Pythagorean tuning. For other tunings, you may need different formulas or tools.
What are some limitations of the Pythagorean tuning system?
Pythagorean tuning can lead to slight discrepancies when trying to fit all twelve notes into an octave, known as the wolf fifth.
Results are for informational purposes only and do not constitute professional advice.