Verse:Hmøøh/Rewhd Sgutsis: Difference between revisions

m
Line 32: Line 32:
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 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 was a step [no pun intended] towards more parsimonious 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 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 propose equal temperaments as a method of temperament.


Askuucis formalized the notion of "good" EDOs in terms of the Riemann zeta function, and discovered 19edo this way. [Would this be possible before computers?]
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.


==Compositions==
==Compositions==
138,759

edits