Audibility

The calorimetric and thermometric thought experiments have introduced the specific energy and vis viva. Next we compare differences in these quantities to assess the energy and temperature of a particle. This requires another binary descriptor that depends on whether or not a sensation is somatic. That is, whether it is like a sense of pressure, touch or hearing. Definition: the number $\varepsilon$ is called the audibility of a sensation

$\varepsilon \equiv 2 \left| \, \delta^{*} \vphantom{X^{X^{X}}} \right| -1$

where $\delta^{\ast}$ notes the oddness. Recall that this quantity $\delta^{\ast}$ is given by

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

Then the audibility takes on the values

$\varepsilon = \begin{cases} +1 &{\sf{\text{if a sensation is somatic}}} \\ -1 &{\sf{\text{if a sensation is not somatic}}} \end{cases}$

Here is a link to the most recent version of this content, including the full text.

Hearing a Heartbeat

Summary

Adjective		Definition
Audibility	$\varepsilon \equiv 2 {\large{\mid}} \, \delta^{*} {\large{\mid}} -1$	4-6

Adjective		Definition
Oddness	$\delta^{*} \equiv \begin{cases} +1 &\sf{\text{if a somatic sensation is on the left side }} \\ \; \; 0 &\sf{\text{if a sensation is not somatic }} \\ -1 &\sf{\text{if a somatic sensation is on the right side }} \end{cases}$	2-7

Noun		Definition
Somatic Sensation	$\sf{\text{Any perception of touch, pressure, sound or hearing.}}$	1-15