1803edo: Difference between revisions

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== Theory ==

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=== ~~Relationship to~~ the saros cycle ===

=== Theory derived from the saros cycle and leap cycle MOSses ===

In real life, 1803 years is 100 times the saros cycle, designed to predict eclipses. In addition, it also makes for both the leap week and the leap day calendars that excellently approximate the March equinox—22300 lunar months is almost exactly 658532 days or 94076 weeks. ~~This~~ can be used to produce a variety of different temperaments.

In real life, 1803 years is 100 times the {{W|saros cycle}}, designed to predict eclipses. In addition, it also makes for both the leap week and the leap day calendars that excellently approximate the March equinox—22300 lunar months is almost exactly 658532 days or 94076 weeks. The associated calendar structures produce [[maximal evenness]] scales that can be used to produce a variety of different temperaments.

The simplest are the rank-2 temperaments produced by 1803 years being able to support a leap day, leap week, and a lunisolar calendar all in one.

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| [[Hectosaros leap week]]

|}

<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

== Scales ==

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 {{Infobox ET}}
-{{EDO intro|1803}}
+{{ED intro}}
 == Theory ==
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 {{Harmonics in equal|1803}}
-=== Relationship to the saros cycle ===
+=== Theory derived from the saros cycle and leap cycle MOSses ===
-In real life, 1803 years is 100 times the saros cycle, designed to predict eclipses. In addition, it also makes for both the leap week and the leap day calendars that excellently approximate the March equinox—22300 lunar months is almost exactly 658532 days or 94076 weeks. This can be used to produce a variety of different temperaments.
+In real life, 1803 years is 100 times the {{W|saros cycle}}, designed to predict eclipses. In addition, it also makes for both the leap week and the leap day calendars that excellently approximate the March equinox—22300 lunar months is almost exactly 658532 days or 94076 weeks. The associated calendar structures produce [[maximal evenness]] scales that can be used to produce a variety of different temperaments.
 The simplest are the rank-2 temperaments produced by 1803 years being able to support a leap day, leap week, and a lunisolar calendar all in one.
@@ Line 49: / Line 49: @@
 | [[Hectosaros leap week]]
 |}
-<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
 == Scales ==