Defactoring: Difference between revisions
Cmloegcmluin (talk | contribs) →defactored & enfactored vs. saturated and (con)torted: extra Sage detail |
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# It does not have any obvious musical or mathematical meaning in this context (whereas enfactored and defactored do have obvious mathematical meaning). | # It does not have any obvious musical or mathematical meaning in this context (whereas enfactored and defactored do have obvious mathematical meaning). | ||
# It has another unrelated meaning within xenharmonics: https://en.xen.wiki/w/Anomalous_saturated_suspension | # It has another unrelated meaning within xenharmonics that it would conflict with: https://en.xen.wiki/w/Anomalous_saturated_suspension | ||
# The most common everyday usage of that word is for "saturated fats", which are the bad kind of fats, so it has negative associations, despite "saturation" being the ''good'' state for a matrix to be in. | # The most common everyday usage of that word is for "saturated fats", which are the bad kind of fats, so it has negative associations, despite "saturation" being the ''good'' state for a matrix to be in. | ||
# Research on the tuning list archives suggests that [[Gene Ward Smith]] chose the word "saturation" because it was used in the mathematical software he was using at the time, Sage<ref>See: https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18026.html and https://doc.sagemath.org/html/en/reference/search.html?q=index_in_saturation. There's also https://doc.sagemath.org/html/en/reference/matrices/sage/matrix/matrix_integer_dense_saturation.html, which refers to an "index in saturation" which appears to be the common factor:<br> | # Research on the tuning list archives suggests that [[Gene Ward Smith]] chose the word "saturation" because it was used in the mathematical software he was using at the time, Sage<ref>See: https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_18026.html and https://doc.sagemath.org/html/en/reference/search.html?q=index_in_saturation. There's also https://doc.sagemath.org/html/en/reference/matrices/sage/matrix/matrix_integer_dense_saturation.html, which refers to an "index in saturation" which appears to be the common factor:<br> | ||