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 A229943 Decimal expansion of 256/243, the Pythagorean semitone. 3
 1, 0, 5, 3, 4, 9, 7, 9, 4, 2, 3, 8, 6, 8, 3, 1, 2, 7, 5, 7, 2, 0, 1, 6, 4, 6, 0, 9, 0, 5, 3, 4, 9, 7, 9, 4, 2, 3, 8, 6, 8, 3, 1, 2, 7, 5, 7, 2, 0, 1, 6, 4, 6, 0, 9, 0, 5, 3, 4, 9, 7, 9, 4, 2, 3, 8, 6, 8, 3, 1, 2, 7, 5, 7, 2, 0, 1, 6, 4, 6, 0, 9, 0, 5, 3, 4, 9, 7, 9, 4, 2, 3, 8, 6, 8, 3, 1, 2, 7, 5, 7, 2, 0, 1, 6, 4, 6, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The Pythagorean diatonic semitone is one of the musical intervals. Has a ratio of 256/243, and is often called the Pythagorean limma. It is also sometimes called the Pythagorean minor semitone. After the initial term the sequence has period 27, repeat: 0, 5, 3, 4, 9, 7, 9, 4, 2, 3, 8, 6, 8, 3, 1, 2, 7, 5, 7, 2, 0, 1, 6, 4, 6, 0, 9. REFERENCES J. M. Merino de la Fuente, Las vibraciones de la música, Editorial Club Universitario (2006), 133. Alberto Rojo, La física en la vida cotidiana, Siglo Veintiuno Editores (2011), 137. LINKS Wikipedia, Semitone FORMULA A229948/A221363 = (3^7/2^11)/(3^12/2^19) = 2^8/3^5 = 256/243. EXAMPLE 1.053497942386831275720164609... MATHEMATICA RealDigits[256/243, 10, 120][[1]] (* Harvey P. Dale, Jul 17 2019 *) CROSSREFS Cf. A010774, A221363, A229948, A230437. Sequence in context: A196406 A070367 A086308 * A198132 A117967 A068116 Adjacent sequences:  A229940 A229941 A229942 * A229944 A229945 A229946 KEYWORD nonn,cons AUTHOR Omar E. Pol, Oct 25 2013 STATUS approved

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Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)