29edo: Difference between revisions

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== Theory ==
== Theory ==
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] a [[Parapyth|Parapythagorean]] tuning instead of a meantone system.
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is sharp instead of flat, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]]—a [[Parapyth|Parapythagorean]] tuning instead of a meantone system.
{| class="wikitable"
{| class="wikitable"
| [[File:29edoSuperpythDiatonic.mp3]] [[:File:29edoSuperpythDiatonic.mp3|[File info]]]
| [[File:29edoSuperpythDiatonic.mp3]] [[:File:29edoSuperpythDiatonic.mp3|[File info]]]
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== Approximation to JI ==
== Approximation to JI ==
[[File:29ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|15-odd-limit intervals approximated in 29edo]]
=== Interval mappings ===
=== Interval mappings ===
{{Q-odd-limit intervals|29}}
{{Q-odd-limit intervals|29}}