User:FloraC/Critique on D&D's terminology: Difference between revisions

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== "Prime-count vector" ==

''Prime-count vector'' is D&D's replacement for ''monzo''. This is one of the worse proposed terms as it includes an inaccurate use of the term ''vector''. A vector is a mathematical structure rather than a form of presentation, so a JI interval is a vector no matter how it is written. For example, the syntonic comma, 81/80, and {{monzo| -4 4 -1 }} are all vectors, and since the vectors represent the number of each prime harmonics, they are prime-count vectors. It would be ridiculous in RTT to say the syntonic comma was not a vector, or to say 81/80 was not a vector.

''Prime-count vector'' is D&D's replacement for ''monzo''. This is one of the worse proposed terms as it includes an inaccurate use of the term ''vector''. A vector is a mathematical structure rather than a form of presentation, so a JI interval is essentially a vector no matter how it is written and what face value it takes on. For example, the syntonic comma, 81/80, and {{monzo| -4 4 -1 }} are all vectors, and since the vectors represent the number of each prime harmonics, they are prime-count vectors. It would be ridiculous in RTT to say the syntonic comma was not a vector, or to say 81/80 was not a vector. It follows that wherever we use ''vector'' we may as well use ''interval''.

A monzo is a particular notation of a vector. The ''monzo'' article clearly tells us a monzo is "a way of notating a JI interval". The more technical ''monzos and interval space'' article reads: "this is often written in ket vector notation as […] in which case it is called a monzo." It often happens that the different forms of an interval such as the name, ratio, and monzo are shown side by side. In the above example, neither the syntonic comma nor 81/80 is a monzo, but {{monzo| -4 4 -1 }}.

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 == "Prime-count vector" ==
-''Prime-count vector'' is D&D's replacement for ''monzo''. This is one of the worse proposed terms as it includes an inaccurate use of the term ''vector''. A vector is a mathematical structure rather than a form of presentation, so a JI interval is a vector no matter how it is written. For example, the syntonic comma, 81/80, and {{monzo| -4 4 -1 }} are all vectors, and since the vectors represent the number of each prime harmonics, they are prime-count vectors. It would be ridiculous in RTT to say the syntonic comma was not a vector, or to say 81/80 was not a vector.
+''Prime-count vector'' is D&D's replacement for ''monzo''. This is one of the worse proposed terms as it includes an inaccurate use of the term ''vector''. A vector is a mathematical structure rather than a form of presentation, so a JI interval is essentially a vector no matter how it is written and what face value it takes on. For example, the syntonic comma, 81/80, and {{monzo| -4 4 -1 }} are all vectors, and since the vectors represent the number of each prime harmonics, they are prime-count vectors. It would be ridiculous in RTT to say the syntonic comma was not a vector, or to say 81/80 was not a vector. It follows that wherever we use ''vector'' we may as well use ''interval''.
 A monzo is a particular notation of a vector. The ''monzo'' article clearly tells us a monzo is "a way of notating a JI interval". The more technical ''monzos and interval space'' article reads: "this is often written in ket vector notation as […] in which case it is called a monzo." It often happens that the different forms of an interval such as the name, ratio, and monzo are shown side by side. In the above example, neither the syntonic comma nor 81/80 is a monzo, but {{monzo| -4 4 -1 }}.