**Keely**

The individual molecules constantly oscillate through one third the molecular diameter, with a frequency of 20,000 per second. The range of oscillation inducted molecular substances by the same initial vibration differs in degree, which can be measured in substances and metals and **expressed mathematically**. This was actually so done in certain substances and metals by Keely, who called this mathematical ratio of frequency transmission the "coincident of transmission." [Snell Manuscript - the book, MOLECULAR AGGREGATES]

When the major and minor scales are generated to be shown the one half in #s and the other half in ♭s, it is not necessary to carry the **mathematical process** through the whole 24, as when the majors are all in #s and the minors all in ♭s; because when six majors have been generated in #s, they furnish the new notes needed by the six relative minors; and when six minors have been generated in ♭s, they furnish the new notes for the six relative majors. This plate begins with the major in C and the minor in A. The notes of these two are all identical except the D, which is the *sexual note*, in which each is not the other, the D of the minor being a comma lower than the D of the major. Going round by the keys in #s, we come first to E minor and G major. G major has been mathematically generated, and the relative minor E gets its F# from it; but the D of C major must also be [Scientific Basis and Build of Music, page 112]

See Also

**Law of Mathematical Ratios**
**mathematical evolution**
**mathematical framework**
**mathematical genesis**
**mathematical intonation**
**mathematical number**
**mathematical origin and structure**
**mathematical scales**
**mathematical system**
**mathematical-intonation**
**scale of mathematical intonation**
**thirteen major mathematical scales**
**thirteen minor mathematical scales**
**three mathematical primes**