Defactoring terminology proposal: Difference between revisions

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This article proposes [[Saturation, torsion, contorsion, and defactoring#Defactoring|"defactoring" and "enfactoring"]] as clearer and more descriptive terminology, to replace the existing terms [[Saturation,_torsion,_contorsion,_and_defactoring|"saturation", "torsion", and "contorsion"]], for which several problems are described here.

These new terms were coined by [[Dave Keenan]] in collaboration with [[Douglas Blumeyer]] in June of 2021<ref>Many, many other terms were considered before arriving at defactored and enfactored, including but not limited to: repeated, (up/down)sampled, decimated, divided/multiplied, divisive/multiplicative, completed/depleted/repleted/pleated, efficient, brown, dry, spongy/holey, fluffy, corrugated, copied, shredded, tupled, tupletted, enphactored (where the ph stood for possibly hidden)...</ref>.

These new terms were coined by [[Dave Keenan]] in collaboration with [[Douglas Blumeyer]] in June of 2021<ref>Many, many other terms were considered before arriving at defactored and enfactored, including but not limited to: repeated, (up/down)sampled, decimated, divided/multiplied, divisive/multiplicative, completed/depleted/repleted/pleated, efficient, brown, dry, spongy/holey, fluffy, corrugated, copied, shredded, tupled, tupletted, enphactored (where the ph stood for possibly hidden), reduced, simplified...</ref>.

== Defactoring, to replace saturation ==

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# It does not have any obvious musical or mathematical meaning in this context, while defactoring and enfactoring clearly refer to the common factor found in linear combinations of matrix rows or columns.

# It has another unrelated meaning within xenharmonics that it would conflict with: https://en.xen.wiki/w/Anomalous_saturated_suspension

# To "saturate" in everyday use means to ''add'' to something, whereas in this mathematical sense it means to ''remove'' something, which can be very confusing. We suggest an effective way to look at it is that saturating is accomplished not by adding more information into the container but rather by shrinking the container itself so that it has no wasted capacity, and thereby attains a saturated state, but still feel that this is a bit of a stretch.

# 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. On the other hand, "enfactored" sounds a bit like "infected", better suggesting the [[The pathology of enfactoring|pathological case]] of unsaturation.

# Furthermore, there is another common but conflicting sense of saturation for matrices which clamps entry values to between -1 and 1<ref>See https://math.stackexchange.com/questions/1964814/linear-transformation-of-a-saturated-vector and https://faculty.uml.edu//thu/tcs01-june.pdf</ref>.

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 This article proposes [[Saturation, torsion, contorsion, and defactoring#Defactoring|"defactoring" and "enfactoring"]] as clearer and more descriptive terminology, to replace the existing terms [[Saturation,_torsion,_contorsion,_and_defactoring|"saturation", "torsion", and "contorsion"]], for which several problems are described here.
-These new terms were coined by [[Dave Keenan]] in collaboration with [[Douglas Blumeyer]] in June of 2021<ref>Many, many other terms were considered before arriving at defactored and enfactored, including but not limited to: repeated, (up/down)sampled, decimated, divided/multiplied, divisive/multiplicative, completed/depleted/repleted/pleated, efficient, brown, dry, spongy/holey, fluffy, corrugated, copied, shredded, tupled, tupletted, enphactored (where the ph stood for possibly hidden)...</ref>.
+These new terms were coined by [[Dave Keenan]] in collaboration with [[Douglas Blumeyer]] in June of 2021<ref>Many, many other terms were considered before arriving at defactored and enfactored, including but not limited to: repeated, (up/down)sampled, decimated, divided/multiplied, divisive/multiplicative, completed/depleted/repleted/pleated, efficient, brown, dry, spongy/holey, fluffy, corrugated, copied, shredded, tupled, tupletted, enphactored (where the ph stood for possibly hidden), reduced, simplified...</ref>.
 == Defactoring, to replace saturation ==
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 # It does not have any obvious musical or mathematical meaning in this context, while defactoring and enfactoring clearly refer to the common factor found in linear combinations of matrix rows or columns.
 # It has another unrelated meaning within xenharmonics that it would conflict with: https://en.xen.wiki/w/Anomalous_saturated_suspension
+# To "saturate" in everyday use means to ''add'' to something, whereas in this mathematical sense it means to ''remove'' something, which can be very confusing. We suggest an effective way to look at it is that saturating is accomplished not by adding more information into the container but rather by shrinking the container itself so that it has no wasted capacity, and thereby attains a saturated state, but still feel that this is a bit of a stretch.
 # 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. On the other hand, "enfactored" sounds a bit like "infected", better suggesting the [[The pathology of enfactoring|pathological case]] of unsaturation.
 # Furthermore, there is another common but conflicting sense of saturation for matrices which clamps entry values to between -1 and 1<ref>See https://math.stackexchange.com/questions/1964814/linear-transformation-of-a-saturated-vector and https://faculty.uml.edu//thu/tcs01-june.pdf</ref>.