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Oddness

Oddness is illustrated by this heartbeat icon for somatic sensations.

Any corporeal perception associated with a sense of pressure, hearing or touch is called a somatic sensation. Somatic sensations are described using words like hard, soft, loud, quiet, slap, tickle, push, pull, scream, whisper, port, starboard, bass, treble and so on. The reference experience for describing somatic sensation is hearing a heartbeat. So to make a binary description of a somatic sensation, compare it to hearing a human heartbeat. Report the result using one of the following algebraic statements. If the two experiences are not comparable, then express this by writing \delta^{*} =0. If the sensation is like hearing a heartbeat, then say that it is on the left. Express this as \delta^{*} =+1. If the sensation is not like hearing a heartbeat, then say that it is on the right and that \delta^{*} =-1. The number \delta^{*} is called the oddness. These relations are mathematically expressed by

\delta^{*} \equiv \begin{cases} +1 &{\text{if a somatic sensation is on the left }} \\ \; \; 0 &{\text{if a  sensation is not somatic}} \\ -1 &{\text{if a somatic sensation is on the right }} \end{cases}

Reference Constant for Oddness

The numerical constant associated with hearing a heartbeat is called the time units conversion factor. It is symbolized by N_{\sf{\Omega}}^{ \mathbf{\Theta}}. This number comes to us from the Sumerian and Babylonian peoples of ancient Mesopotamia.1George Sarton, A History of Science, page74. Harvard University Press, Cambridge 1952. About four thousand years ago their astronomical observations and sexagesimal mathematics established what we mean by a second. Namely that one day is parsed as twenty-four hours of sixty minutes, each of sixty seconds. And so, by ancient convention N_{\sf{\Omega}}^{ \mathbf{\Theta}} = 86,400 (seconds per day). For more detail about how this number is used, please see the discussion of frequency.

1George Sarton, A History of Science, page74. Harvard University Press, Cambridge 1952.