tag:blogger.com,1999:blog-3112258799568696095.post7995941176279288947..comments2024-03-06T13:50:29.718+05:30Comments on E's flat, ah's flat too: Stolen notesRahul Siddharthanhttp://www.blogger.com/profile/04809667965184094636noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-3112258799568696095.post-81799284492297710462007-03-03T10:11:00.000+05:302007-03-03T10:11:00.000+05:30Good analysis. I wasn't trying to calculate the p...Good analysis. I wasn't trying to calculate the probability for the music, just using the coin-tosses as an example for why probabilities for such highly correlated events would be vanishing low. (10^-59, 10^-298 are both 0 in practice...)Rahul Siddharthanhttps://www.blogger.com/profile/04809667965184094636noreply@blogger.comtag:blogger.com,1999:blog-3112258799568696095.post-57428748881849717062007-03-03T01:32:00.000+05:302007-03-03T01:32:00.000+05:30We are of the same mind, I see. I tried to email ...We are of the same mind, I see. I tried to email the author of the Stereophile article about correlation/probability, but the message bounced.<BR/><BR/>On the blog: <BR/>http://www.mcelhearn.com/article.php?story=20070216113905156<BR/><BR/>I describe a similar analysis to yours (but being slightly more conservative):<BR/><BR/>Probability that a single Hatto recording is the same as the matching Indjic recording. <BR/><BR/>I use Mazurka in A minor Op. 17, No. 4 as an example in this case. I measured the beat timing locations in an independent manner. The accuracy of my timing measurement is 10 milliseconds. I then subtracted the difference between the two beat-time sets. There was a linear increase in the differences due to time shifting in one of the performances. This was removed. What resulted was a plot of timing differences between about 400 beats in the piece. There was a region of beat timing differences which was about 200 beats long, where the beat timing differences were all less than 11 milliseconds. If a human were to try to tap to a constant beat, they would be expected to get less than 1/2 of the taps within 25 milliseconds (note that mazurkas are not performed at a steady tempo, so it actually should be a larger deviation). Being able to hit the beat timings at less than a 25 millisecond deviation for 200 consecutive beats is equivalent to flipping a coin and having it come up heads 200 consecutive times. The probability of that occuring is one in 1^200 or 1 in 10^59. (Note that <BR/>I did not examine the timings of the notes which occured off of the beats, which would make that value even higher).<BR/><BR/>1 in 10^59 is approximately equivalent to one atom of hydrogen out of all others in a star...Anonymoushttps://www.blogger.com/profile/02410359659050240769noreply@blogger.comtag:blogger.com,1999:blog-3112258799568696095.post-48707175436927252502007-03-01T11:53:00.000+05:302007-03-01T11:53:00.000+05:30Wish I'd thought of that as a title...Wish I'd thought of that as a title...Rahul Siddharthanhttps://www.blogger.com/profile/04809667965184094636noreply@blogger.comtag:blogger.com,1999:blog-3112258799568696095.post-90191288725851318172007-03-01T06:40:00.000+05:302007-03-01T06:40:00.000+05:30was it by design that you started off a post about...was it by design that you started off a post about lies and wound up talking about statistics, after a detour through a mention of people who were (falsely) damned?Tabula Rasahttps://www.blogger.com/profile/16358094860426062297noreply@blogger.com