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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

Table of n, a(n) for n=1..109.

Wikipedia, Semitone

OEIS index entry for music

The multi-faceted reach of the OEIS: Music

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 February 27 06:59 EST 2020. Contains 332299 sequences. (Running on oeis4.)