Pythagorean tuning

Examples

Also ditone and semiditone are specific for Pythagorean tuning, while tone and tritone are used generically for all tuning systems. Source: Internet

Because most fifths in Pythagorean tuning are in the simple ratio of 3:2, they sound very "smooth" and consonant. Source: Internet

By definition, in Pythagorean tuning 11 perfect fifths (P5 in the table) have a size of approximately 701.955 cents (700+ε cents, where ε ≈ 1.955 cents). Source: Internet

However, there will always be one wolf fifth in Pythagorean tuning, making it impossible to play in all keys in tune. Source: Internet

For a similar reason, each of the other interval types, except for the unisons and the octaves, has two different sizes in Pythagorean tuning. Source: Internet

For this reason, Pythagorean tuning is particularly well suited to music which treats fifths as consonances, and thirds as dissonances. Source: Internet

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