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41 equal temperament : ウィキペディア英語版 | 41 equal temperament In music, 41 equal temperament, abbreviated 41-tET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency ratios). Each step represents a frequency ratio of 21/41, or 29.27 cents (), an interval close in size to the septimal comma. 41-ET can be seen as a tuning of the schismatic,〔("Schismic Temperaments " ), ''Intonation Information''.〕 magic and miracle〔("Lattices with Decimal Notation" ), ''Intonation Information''.〕 temperaments. It is the second smallest equal temperament, after 29-ET, whose perfect fifth is closer to just intonation than that of 12-ET. ==History and use==
Although 41-ET has not seen as wide use as other temperaments such as 19-ET or 31-ET , pianist and engineer Paul von Janko built a piano using this tuning, which is on display at the Gemeentemuseum in The Hague.〔() Dirk de Klerk "Equal Temperament", ''Acta Musicologica'', Vol. 51, Fasc. 1 (Jan. - Jun., 1979), pp. 140-150〕 41-ET can also be seen as an octave-based approximation of the Bohlen–Pierce scale. 41-ET is also a subset of 205-ET, for which the (keyboard layout ) of the (Tonal Plexus ) is designed.
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