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Reinhard Hommel vs Petr Haba
Crailsheim op 1st (1995)
Saragossa Opening: General (A00)  ·  0-1



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Kibitzer's Corner
Dec-16-10  apratimm: Nice thinking process behind one way of solving : Somebody posed a question here based on the query:
What mathematical sequence includes these two numbers?

Asked by weeveeship (2774 points ) 2 hours ago
The numbers are:
130812782.6503 (28th number in the sequence)
523251130.6012 (52nd number in the sequence)
Please help.
P.S. I think the sequence is mathematical because it involves numbers but feel free to go beyond math sequences. Thanks a bunch.

Some whiz gave a great reply:
The ratio of 52nd to 28th term is exactly 4. This is the only real clue here.

This suggests a geometric series, in which case the terms quadruple every 52 – 28 = 24 positions, or double every 12. This is exactly the case with the well-tempered piano scale, where frequencies double each octave of 12 semi-tones. The ratio between successive terms is the twelfth root of two, which is 2^(1/12) = 1.059… (Each note is about 6 percent higher in frequency than its predecessor). What puzzles me is that the numbers in your sequence are on the order of a million times bigger than piano frequencies in cycles per second (Hertz). *******
I found this from bing search on the numbers themselves( and not google for once !!) . After this I checked the piano scale for what is the 28th and 52nd key ( .. this gave c3 and c5 which immediately suggested an opening. However , the Opening Explorer does not allow to explore to the actual game for non-premium members .. so I could see that there are only 11 games but could not see which are the actual games.Got stuck at that point.

Just found it really interesting ,esp. the answer for what the sequence could be so thought might share.

Congrats to druid. Great puzzle.

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