Pythagorean tuning - Wikipedia
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [2] which are "pure" or perfect, with ratio .
Pythagorean tuning | music | Britannica
Pythagorean tuning provides uniformity but not the chords. Just tuning, based on the simpler ratios of the overtone series, provides the chords but suffers from inequality of intervals. Meantone tuning provides equal intervals but gives rise to …
Using the whole-number Pythagorean ratios of 2:1 for octaves and 3:2 for fifths, arithmetic shows that the sum of 7 octaves and of 12 fifths are not the same, and the sum of the circle of fifths overshoots getting back to “c” by about a quarter of a semitone, or …
Tuning and temperament - Classic Systems, Pitch, Intervals ...
Jan 8, 2025 · Of the two ancient Greek systems that were used chiefly in the Middle Ages, one, Pythagorean tuning, makes all the fifths perfectly consonant. As a result, all the major thirds and major sixths are sharp (too wide) by 22 cents (a cent …
2,500 years of musical temperaments - Pythagorean Tuning
Pythagorean tuning was effective when the most commonly used harmonic intervals were the octave, fifth and fourth. With the increasing use of thirds in the Middle Ages and Renaissance, the Pythagorean third was no longer acceptable to many ears. …
3 to 2 Ratio - Pythagorean Tuning - How Music REALLY Works
With only the 3 to 2 ratio, the basis of Pythagorean tuing, that’s almost the diatonic major scale. You can construct a good many of the world’s popular musical scales simply by using notes derived from consecutive frequency jumps in the ratio of 3:2, the ratio of the perfect fifth interval.
Pythagorean Tuning - Basic concepts - Medieval
As mentioned above, Pythagorean tuning defines all notes and intervals of a scale from a series of pure fifths with a ratio of 3:2. Thus it is not only a mathematically elegant system, but also one of the easiest to tune by ear.
- Some results have been removed