Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions
| Line 33: | Line 33: | ||
Building on Jopah's and Tăhus's constant structure scales, Askuucis described a variety of equal temperaments derived from equating the step sizes in constant-structure scales. She believed that this development would be a step [no pun intended] towards more flexible music. Though the process of tempering out small commas such as 2401/2400 was already known, Askuucis's work was the first to investigate equal temperaments. | Building on Jopah's and Tăhus's constant structure scales, Askuucis described a variety of equal temperaments derived from equating the step sizes in constant-structure scales. She believed that this development would be a step [no pun intended] towards more flexible music. Though the process of tempering out small commas such as 2401/2400 was already known, Askuucis's work was the first to investigate equal temperaments. | ||
Askuucis asked why the same scale sizes - e.g. 7, 12, 19, 22, 27, 31 - kept showing up for "good" constant structures. This led her to discover how to formalize the notion of "good" EDOs in terms of the maxima of the Riemann zeta function on the critical strip, and discovered 19edo this way. | Askuucis asked why the same scale sizes - e.g. 7, 10, 12, 19, 22, 27, 31 - kept showing up for "good" constant structures. This led her to discover how to formalize the notion of "good" EDOs in terms of the maxima of the Riemann zeta function on the critical strip, and discovered 19edo this way. | ||
[That should be it theory-wise.] | [That should be it theory-wise.] | ||