A230437 Decimal expansion of (2/(3 - 2^(1/2)))^(1/4).

1, 0, 5, 9, 7, 3, 2, 6, 7, 2, 2, 0, 2, 1, 3, 9, 8, 0, 8, 7, 4, 6, 9, 6, 9, 3, 7, 6, 9, 9, 2, 5, 8, 3, 2, 5, 1, 2, 1, 1, 6, 7, 7, 0, 5, 7, 3, 6, 2, 0, 3, 6, 5, 1, 5, 3, 0, 6, 8, 4, 1, 6, 4, 8, 2, 6, 6, 1, 8, 9, 1, 1, 4, 6, 4, 1, 1, 8, 3, 9, 2, 9, 8, 3, 2, 8, 3, 2, 7, 0, 5, 3, 4, 9, 5, 8, 3, 7, 3, 7, 9, 6, 2, 0

Offset: 1

Author

Omar E. Pol, Oct 25 2013

Keywords

• nonn
• cons

Comments

Approximation to the frequency ratio of a semitone in equal temperament, suggested by Marin Mersenne.

This constant is close to A010774, the frequency ratio of a semitone in equal temperament. The difference is 0.0002695778428445...

Examples

			1.059732672202139808746969376992583251211677...
		

Links

• Wikipedia, Marin Mersenne.
• Wikipedia, Semitone.
• OEIS index entry for music.
• The multi-faceted reach of the OEIS: Music.

Crossrefs

Cf. A010774, A221363, A229943, A229948.

Programs

Mathematica

RealDigits[Surd[2/(3 - 2^(1/2)), 4], 10, 120][[1]] (* Amiram Eldar, May 16 2023 *)