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In fT 2090, Askuucis retired from her academic post and secluded herself, intending to focus solely on composition. She lived in a house in Sŋooron until she died of a stroke in fT 2096. | In fT 2090, Askuucis retired from her academic post and secluded herself, intending to focus solely on composition. She lived in a house in Sŋooron until she died of a stroke in fT 2096. | ||
==Contributions to music theory== | ==Contributions to music theory== | ||
Building on Jopah's and Tăhus's work on constant structure scales, in her treatise ''Equal Divisions of the Octave'' 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 her work was not the first one to describe the process of tempering out commas (it was known for small commas such as 2401/2400), nor the first to mention the idea of equal temperament, it was the first to systematically derive equal temperaments from other scales. | Building on Jopah's and Tăhus's work on constant structure scales, in her treatise ''Some Equal Divisions of the Octave'' 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 her work was not the first one to describe the process of tempering out commas (it was known for small commas such as 2401/2400), nor the first to mention the idea of equal temperament, it was the first to systematically derive equal temperaments from other scales. | ||
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. | 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. | ||