365edo/Eliora's approach: Difference between revisions

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''Main ~~article~~: ~~[[365edo]]'~~'

== Theory ==

As 365 is the number of days in the common year, and there is a way to implement such a fact into music. 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.

365 is ~~the number~~ of ~~days in the common year,~~ and ~~as such this proposes some interesting intereprations~~.

This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val. Therefore, each step is equal to 3.2854936 cents, and there are ''common octaves'' consisting of 365 steps and ''leap octaves'' consisting of 366 steps.

~~This approach will cover what is essentially "tropical year"~~-~~EDO~~, ~~that~~ is ~~365.2422edo using~~ the ~~365eeffgghiii~~ val.

In the 7-limit, the val is the same as patent val for 365edo, and hence it supports the [[hemiwürschmidt]] temperament just like the unstretched pure-octave 365edo does.

Mapping:

=== Mapping used ===

{| class="wikitable"

!

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|}

~~== Theory ==~~

~~365eeffgghiii val shares rank two temperaments with the following vals: {{EDOs|121i, 99ef, 68e, 27egi, 41i, 46p, 58hi, 87, 50, 94}}.~~

~~Every note which corresponds to the first number of a month makes it's own kind of 12-tone well temperament.~~

==Table of intervals==

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-''Main article: [[365edo]]''
+{{Main|365edo}}
+== Theory ==
+As 365 is the number of days in the common year, and there is a way to implement such a fact into music. 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.
-is the number of days in the common year, and as such this proposes some interesting intereprations.
+This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val. Therefore, each step is equal to 3.2854936 cents, and there are ''common octaves'' consisting of 365 steps and ''leap octaves'' consisting of 366 steps.
-This approach will cover what is essentially "tropical year"-EDO, that is 365.2422edo using the 365eeffgghiii val.
+In the 7-limit, the val is the same as patent val for 365edo, and hence it supports the [[hemiwürschmidt]] temperament just like the unstretched pure-octave 365edo does.
-Mapping:
+=== Mapping used ===
 {| class="wikitable"
 !
@@ Line 41: / Line 43: @@
 |}
-== Theory ==
-eeffgghiii val shares rank two temperaments with the following vals: {{EDOs|121i, 99ef, 68e, 27egi, 41i, 46p, 58hi, 87, 50, 94}}.
-Every note which corresponds to the first number of a month makes it's own kind of 12-tone well temperament.
 ==Table of intervals==