Monzo: Difference between revisions

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Monzos can be thought of as counterparts to [[vals]]. Like vals, they also only permit integers as their entries (unless otherwise specified).

== ~~Etymology~~ ==

== History and terminology ==

Monzos are named in honor of [[Joe Monzo]], ~~although the name was~~ given by [[Gene Ward Smith]]. These were also previously called '''factorads''' by [[John Chalmers]] in ''Xenharmonikôn 1'', although the basic idea goes back at least as far as [[Adriaan Fokker]] and probably further back, so that the entire naming situation can be viewed as an example of [[Wikipedia: Stigler%27s law of eponymy|Stigler's law]] many times over.

Monzos are named in honor of [[Joe Monzo]], given by [[Gene Ward Smith]] in July 2003. These were also previously called ''factorads'' by [[John Chalmers]] in ''Xenharmonikôn 1'', although the basic idea goes back at least as far as [[Adriaan Fokker]] and probably further back, so that the entire naming situation can be viewed as an example of [[Wikipedia: Stigler%27s law of eponymy|Stigler's law]] many times over. More descriptive but longer terms include '''prime-counting vector'''<ref>Used by [[Douglas Blumeyer]] and [[Dave Keenan]] on this wiki, notably in [[Douglas Blumeyer's RTT How-To]] and [[Douglas Blumeyer and Dave Keenan's Intro to exterior algebra for RTT]]</ref>, '''prime-exponent vector'''<ref>[http://tonalsoft.com/enc/m/monzo.aspx Tonalsoft | ''Monzo'']</ref>, and in the context of just intonation, '''harmonic space coordinates'''<ref>[https://www.plainsound.org/HEJI/ Plainsound Music Edition | ''Plainsound Harmonic Space Calculator'']</ref>.

== Examples ==

@@ Line 12: / Line 12: @@
 Monzos can be thought of as counterparts to [[vals]]. Like vals, they also only permit integers as their entries (unless otherwise specified).
-== Etymology ==
+== History and terminology ==
-Monzos are named in honor of [[Joe Monzo]], although the name was given by [[Gene Ward Smith]]. These were also previously called '''factorads''' by [[John Chalmers]] in ''Xenharmonikôn 1'', although the basic idea goes back at least as far as [[Adriaan Fokker]] and probably further back, so that the entire naming situation can be viewed as an example of [[Wikipedia: Stigler%27s law of eponymy|Stigler's law]] many times over.
+Monzos are named in honor of [[Joe Monzo]], given by [[Gene Ward Smith]] in July 2003. These were also previously called ''factorads'' by [[John Chalmers]] in ''Xenharmonikôn 1'', although the basic idea goes back at least as far as [[Adriaan Fokker]] and probably further back, so that the entire naming situation can be viewed as an example of [[Wikipedia: Stigler%27s law of eponymy|Stigler's law]] many times over. More descriptive but longer terms include '''prime-counting vector'''<ref>Used by [[Douglas Blumeyer]] and [[Dave Keenan]] on this wiki, notably in [[Douglas Blumeyer's RTT How-To]] and [[Douglas Blumeyer and Dave Keenan's Intro to exterior algebra for RTT]]</ref>, '''prime-exponent vector'''<ref>[http://tonalsoft.com/enc/m/monzo.aspx Tonalsoft | ''Monzo'']</ref>, and in the context of just intonation, '''harmonic space coordinates'''<ref>[https://www.plainsound.org/HEJI/ Plainsound Music Edition | ''Plainsound Harmonic Space Calculator'']</ref>.
 == Examples ==