365edo: Difference between revisions

(4 intermediate revisions by 2 users not shown)

Line 1:

== Theory ==

Line 14:

=== Miscellaneous properties ===

An octave stretch of -0.796 cents would compress 365edo to an interesting intepretation: the pure 2/1 would represent 365.24219edo, which is the length of solar days in a tropical year. In 23-limit, 365eeffgghiii val's octave stretch of -0.79428 cents is very close, and makes 2/1 correspond to 365.241917 days, or 365 days 5h 48m 21.7s, which is only about 20 seconds short of the tropical year in the present era. ~~Such a temperament eliminates~~ 300/299, ~~875~~/~~874~~, ~~1729~~/~~1725~~, ~~3060~~/~~3059~~, ~~4235~~/~~4232~~.

An octave stretch of −0.796 cents would compress 365edo to an interesting intepretation: the pure 2/1 would represent 365.24219edo, which is the length of solar days in a tropical year. In 23-limit, 365eeffgghiii val's octave stretch of -0.79428 cents is very close, and makes 2/1 correspond to 365.241917 days, or 365 days 5h 48m 21.7s, which is only about 20 seconds short of the tropical year in the present era. A comma basis for the 365eeffgghiii val in the 23-limit is {256/255, 300/299, 352/351, 456/455, 896/891, 1225/1224, 3136/3125, 13608/13585}.

See [[365edo/Eliora's approach]].

== Interval table ==

~~{{Interval table}}~~

''see [[Table of 365edo intervals]]''

== Approaches ==

* [[365edo/Eliora's approach|Eliora's approach]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|365}}
+{{ED intro}}
 == Theory ==
@@ Line 14: / Line 14: @@
 === Miscellaneous properties ===
-An octave stretch of -0.796 cents would compress 365edo to an interesting intepretation: the pure 2/1 would represent 365.24219edo, which is the length of solar days in a tropical year. In 23-limit, 365eeffgghiii val's octave stretch of -0.79428 cents is very close, and makes 2/1 correspond to 365.241917 days, or 365 days 5h 48m 21.7s, which is only about 20 seconds short of the tropical year in the present era. Such a temperament eliminates 300/299, 875/874, 1729/1725, 3060/3059, 4235/4232.
+An octave stretch of −0.796 cents would compress 365edo to an interesting intepretation: the pure 2/1 would represent 365.24219edo, which is the length of solar days in a tropical year. In 23-limit, 365eeffgghiii val's octave stretch of -0.79428 cents is very close, and makes 2/1 correspond to 365.241917 days, or 365 days 5h 48m 21.7s, which is only about 20 seconds short of the tropical year in the present era. A comma basis for the 365eeffgghiii val in the 23-limit is {256/255, 300/299, 352/351, 456/455, 896/891, 1225/1224, 3136/3125, 13608/13585}.
+See [[365edo/Eliora's approach]].
 == Interval table ==
-{{Interval table}}
+''see [[Table of 365edo intervals]]''
 == Approaches ==
 * [[365edo/Eliora's approach|Eliora's approach]]