Tritone: Difference between revisions
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== In just intonation == | == In just intonation == | ||
Due to being close to 600 cents, tritones come in octave-complementary pairs. For low-limit harmony, these pairs are often referred to as "augmented fourth" and "diminished fifth" based on their function in diatonic harmony, but in higher limits, the tritones are usually just distinguished by size. | Due to being close to 600 cents, tritones come in octave-complementary pairs. For low-limit harmony, these pairs are often referred to as "augmented fourth" (A4) and "diminished fifth" (d5) based on their function in diatonic harmony, but in higher limits, the tritones are usually just distinguished by size. | ||
Historically, the term "tritone" referred to the '''Pythagorean augmented fourth,''' the ratio of 729/512 reached by stacking three Pythagorean whole tones (hence "tri-tone"), or equivalently, six [[3/2]]<nowiki/>s, which is an interval of about 612 cents. There is also the octave complement, the '''Pythagorean diminished fifth''' of 1024/729, which is about 588 cents in size. | Historically, the term "tritone" referred to the '''Pythagorean augmented fourth,''' the ratio of 729/512 reached by stacking three Pythagorean whole tones (hence "tri-tone"), or equivalently, six [[3/2]]<nowiki/>s, which is an interval of about 612 cents. There is also the octave complement, the '''Pythagorean diminished fifth''' of 1024/729, which is about 588 cents in size. | ||