User:Frostburn/Music vs Math: Difference between revisions

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| Variety || Number of distinct ''k''-step intervals in a scale || An algebraic variety, such as the solution set of a system of polynomial equations; objects of study in algebraic geometry

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== Ordinal rant ==

We all know how ordinal notation is broken. The 2nd after 2nd is 3rd instead of 4th which you would expect from 2 + 2 = 4.

Mathematicians understood this and came up with a degree 0. The degree 1 polynomial is ax + b while the degree 2 polynomial is ax² + bx + c. Multiplying two degree 2 polynomials results in a degree 4 polynomial and everything makes sense numerically. Colloquially we use ordinals and say that two 2nd degree polynomials make up a 4th degree polynomial.

Musicians never got the memo and we're stuck with the fact that '''two''' perfect '''4th'''s make up a minor '''7th''' instead of an 8th of some kind.

Spoob bless [[TAMNAMS#Naming_mos_intervals | TAMNAMS]] for using step span instead of ordinals.

=== The wrong solution ===

The words "first", "second" and "last" are perfectly good ordinals with no intrinsic numerical association. We should just change the numerical notation to 0st, 1nd, 2st, 3st, 4st, 5st, etc. pronounced "twost", "threest", "fourst" and "fivest" standing in for the old "third", "fourth", "fifth" and "sixth" respectively (a numeric shift of one).

Now we finally have that 1nd + 1nd is 2st.

@@ Line 18: / Line 18: @@
 | Variety || Number of distinct ''k''-step intervals in a scale || An algebraic variety, such as the solution set of a system of polynomial equations; objects of study in algebraic geometry
 |}
+== Ordinal rant ==
+We all know how ordinal notation is broken. The 2nd after 2nd is 3rd instead of 4th which you would expect from 2 + 2 = 4.
+Mathematicians understood this and came up with a degree 0. The degree 1 polynomial is ax + b while the degree 2 polynomial is ax² + bx + c. Multiplying two degree 2 polynomials results in a degree 4 polynomial and everything makes sense numerically. Colloquially we use ordinals and say that two 2nd degree polynomials make up a 4th degree polynomial.
+Musicians never got the memo and we're stuck with the fact that '''two''' perfect '''4th'''s make up a minor '''7th''' instead of an 8th of some kind.
+Spoob bless [[TAMNAMS#Naming_mos_intervals | TAMNAMS]] for using step span instead of ordinals.
+=== The wrong solution ===
+The words "first", "second" and "last" are perfectly good ordinals with no intrinsic numerical association. We should just change the numerical notation to 0st, 1nd, 2st, 3st, 4st, 5st, etc. pronounced "twost", "threest", "fourst" and "fivest" standing in for the old "third", "fourth", "fifth" and "sixth" respectively (a numeric shift of one).
+Now we finally have that 1nd + 1nd is 2st.