144edo: Difference between revisions

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144edo's step size is called a '''farab''' when used as an [[interval size unit]].<ref>http://tonalsoft.com/enc/f/farab.aspx</ref>

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=== Approximation to φ ===

144edo is the 12th Fibonacci edo. As a consequence of being a Fibonacci edo, it ~~can produce~~ extremely precise approximation of the [[Logarithmic phi|logarithmic golden ratio]] at 89 steps. Coincidentally, it ''also'' excellently represents the [[Acoustic phi|acoustic golden ratio]] by 100 steps.

144edo is the 12th Fibonacci edo. As a consequence of being a Fibonacci edo, it produces an extremely precise approximation of the [[Logarithmic phi|logarithmic golden ratio]] at 89 steps. Coincidentally, it ''also'' excellently represents the [[Acoustic phi|acoustic golden ratio]] by 100 steps.

== Regular temperament properties ==

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| [[Substitute harmonic#Dotcom|Dotcom]]

|}

<nowiki />* [[Normal ~~lists~~|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~|minimal form]] in parentheses if distinct

<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct

== Music ==

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 {{Infobox ET}}
-{{EDO intro|144}}
+{{ED intro}}
 edo's step size is called a '''farab''' when used as an [[interval size unit]].<ref>http://tonalsoft.com/enc/f/farab.aspx</ref>
@@ Line 20: / Line 20: @@
 === Approximation to φ ===
-edo is the 12th Fibonacci edo. As a consequence of being a Fibonacci edo, it can produce extremely precise approximation of the [[Logarithmic phi|logarithmic golden ratio]] at 89 steps. Coincidentally, it ''also'' excellently represents the [[Acoustic phi|acoustic golden ratio]] by 100 steps.
+edo is the 12th Fibonacci edo. As a consequence of being a Fibonacci edo, it produces an extremely precise approximation of the [[Logarithmic phi|logarithmic golden ratio]] at 89 steps. Coincidentally, it ''also'' excellently represents the [[Acoustic phi|acoustic golden ratio]] by 100 steps.
 == Regular temperament properties ==
@@ Line 84: / Line 84: @@
 | [[Substitute harmonic#Dotcom|Dotcom]]
 |}
-<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
+<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 == Music ==