The Harmonics  is probably earlier than the Tetrabiblos. Although Ptolemy is well known for his astronomy and astrology, he was also one of the ancient sources for theories of harmony.
The work studies this universal field of knowledge for which music and geometry are considered subsets. Much of the material in Harmonics is exclusively concerned with music, including setting up exact number ratios for the different modes.
The Harmonics Book III applies his previous exposition of intervals, scales, and ratios to ethics and psychology, and to astronomy and astrology. Unfortunately, some of Book III has been lost to us. In Chapter 9 of Book III, Ptolemy presents the astrological aspects and their ratios to one another. Curiously, in this presentation Ptolemy does not use degree numbers for the aspects. Instead, he considers the twelve zoidia as discrete units and the whole number relationships between them that yield moriai and epimoriai. This discussion might have fit better into the Tetrabiblos Book I, within his treatment of the qualities and relationships between whole zoidia.
My first experience with the Kepler Certificate Program has been an amazing journey. After many years of reading and trying to understand how astrology works, I decided I needed help pulling all the pieces together.
Since I work and have a family, the Kepler online learning program has been a wonderful way for me to reach out to the Universe and understand just a little more about who I am and where I want to go. The teachers are extremely knowledgeable and accessible.
The online learning environment is a great tool with video, audio, webinars, resource links, pdf documents, etc. Kepler also includes their own text and work book and a great selection of an easy to understand astrology books. With the ability to review any area I may find challenging, my learning is exciting and adapted to my needs.
I am enthusiastic and looking forward to continuing my astrological search with Kepler.
Thanks again, Linda Schingen (W101)
Students are entered into their course site no later than the night before classes begin. New students will also be enrolled in an orientation course.
For you to gain access to your class, we must have:
Certifcate Program Catalog (pdf format)