Tritone: Difference between revisions
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m I see I had the old version of the cents symbol -- applying the new one in the remaining 2 places for consistency with the most recent changes before this one |
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== In just intonation == | == In just intonation == | ||
Due to being close to 600{{ | Due to being close to 600{{c}}, 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{{c}}. There is also the octave complement, the '''Pythagorean diminished fifth''' of 1024/729, which is about 588{{c}} 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{{c}}. There is also the octave complement, the '''Pythagorean diminished fifth''' of 1024/729, which is about 588{{c}} in size. | ||
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! class="unsortable" | Ratios | ! class="unsortable" | Ratios | ||
! Prime<br>limit | ! Prime<br>limit | ||
! Distance<br>from 600{{ | ! Distance<br>from 600{{c}} | ||
! Comma | ! Comma | ||
|- | |- | ||