(Greek: "densification")
The division of a musical interval by multiplication of the defining integers and the insertion of arithmetic or harmonic means.
For example, from 16/15, one obtains 32/31 and 31/30 [because 16/15 = 32/30].
Below is a diagram illustrating how the ancient Greeks would find the above example on a string; the numbers refer to parts of a string-length:
| 15 -+- 30 | | -+- 31 | | 16 -+- 32 |
The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.