From: Joscha Bach cfl.

From: Joscha Bach cfl. To: Jeffrey Epstein <[email protected]> Subject: Re: Music cognition Date: Thu, 03 Nov 2016 04:54:09 +0000 I suspect the brain attempts to map a low dimensional sample space on a high dimensional geometric space (at least that happens to me with some Gould pieces). It could also be a general aspect of function learning. Visual learning maps low dimensional input patterns from retina to a moving vector space geometry. Tactile learning maps samples from touch nerves in skin to a 2d map of the body surface. Auditory learning maps samples of energy distribution to regular attractor objects in a low-dimensional space. Mathematically gifted minds have the ability to create such mappings for higher-level patterns, like music or more abstract geometry. Ordinary minds can see and manipulate numbers and series only sequentially as symbols. There might be a correlation to whether people can parse fugues and whether they are gifted at certain kinds of mathematical exploration. > On Nov 3, 2016, at 00:46, jeffrey E. <[email protected]> wrote: > there are some boring numbers. , bach, more tricks. long division. but not interesting. . gould is more find the x in the following series.. no answer.. schoenberg . more complex patterns > beethoeven - four or five series intertwined. voices? sums + imaginary numbers. > chinese music - transendantal numbers > mozart , geometry spinning squares. > On Thu, Nov 3, 2016 at 4:17 AM, Joscha Bach cfl. wrote: > Dear Jeffrey, > I hope this finds you well! > I was wondering about how you perceive music. You mentioned that you have synesthesia with respect to numbers; does music "look" like anything in your mind's eye? > Especially "mathematical" music, like Gould and Bach? > Cheers, > Joscha > PS: I have received the documentation for the O visa today; thank you so much for making that possible! > -- > please note > The information contained in this communication is > confidential, may be attorney-client privileged, may > constitute inside information, and is intended only for > the use of the addressee. It is the property of > JEE > Unauthorized use, disclosure or copying of this > communication or any part thereof is strictly prohibited EFTA01063214 > and may be unlawful. If you have received this > communication in error, please notify us immediately by > return e-mail or by e-mail to [email protected], and > destroy this communication and all copies thereof, > including all attachments. copyright -all rights reserved EFTA01063215