4320edo: Difference between revisions

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==== Proposal for an interval size measure ====

Eliora proposes that 1 step of 4320edo be called a '''click'''. This is because 4320 kilometers per hour equals 1200 meters per second, and "clicks" or "clicks" is a slang name for kilometers per hour. ~~Therefore if one were~~ to ~~think~~ of cents ~~as meters per second~~, this ~~would make~~ steps ~~of 4320edo correspond kilometers per hour~~.

Eliora proposes that 1 step of 4320edo be called a '''click'''. This is because 4320 kilometers per hour equals 1200 meters per second, and "clicks" or "clicks" is a slang name for kilometers per hour. A [[cent]] is equal to 3.6 steps of 4320edo, just as 1 m/s = 3.6 km/h. For example, a perfect fifth is 701.955 cents. Since 701.955 m/s = 2527.038 km/h, this means that perfect fifth in 4320edo is 2527 steps. And checking the harmonics table, it does match the actual value.

~~For example~~, a ~~perfect fifth~~ is ~~701.955 cents~~. Since ~~701.955 m/s = 2527.038 km/h~~, this means that ~~perfect fifth~~ in ~~4320edo is 2527 steps. And checking~~ the ~~harmonics table, it is~~.

A semitone therefore is 360 clicks, a quartertone is 180 clicks, minutes period is 72 clicks, a [[morion]] is 60 clicks, mercury period is 54 clicks, the Dröbisch angle is 12 clicks.

Since 4320edo is consistent in the 23-odd-limit, this means that the values of the 23-odd-limit intervals in clicks can be found by simply applying the patent val.

=== Regular temperament theory ===

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== Miscellany ==

4320edo is the 69th highly abundant EDO. Nice.

When it comes to interval size measures, a curious observation is also that 4320 km/h is close enough to whole integer to equal to 2684 mph, and [[2684edo]] is a zeta peak EDO.

[[Category:Equal divisions of the octave|####]]

[[Category:Atomic]]

@@ Line 12: / Line 12: @@
 ==== Proposal for an interval size measure ====
-Eliora proposes that 1 step of 4320edo be called a '''click'''. This is because 4320 kilometers per hour equals 1200 meters per second, and "clicks" or "clicks" is a slang name for kilometers per hour. Therefore if one were to think of cents as meters per second, this would make steps of 4320edo correspond kilometers per hour.
+Eliora proposes that 1 step of 4320edo be called a '''click'''. This is because 4320 kilometers per hour equals 1200 meters per second, and "clicks" or "clicks" is a slang name for kilometers per hour. A [[cent]] is equal to 3.6 steps of 4320edo, just as 1 m/s = 3.6 km/h. For example, a perfect fifth is 701.955 cents. Since 701.955 m/s = 2527.038 km/h, this means that perfect fifth in 4320edo is 2527 steps. And checking the harmonics table, it does match the actual value.
-For example, a perfect fifth is 701.955 cents. Since 701.955 m/s = 2527.038 km/h, this means that perfect fifth in 4320edo is 2527 steps. And checking the harmonics table, it is.
+A semitone therefore is 360 clicks, a quartertone is 180 clicks, minutes period is 72 clicks, a [[morion]] is 60 clicks, mercury period is 54 clicks, the Dröbisch angle is 12 clicks.
+Since 4320edo is consistent in the 23-odd-limit, this means that the values of the 23-odd-limit intervals in clicks can be found by simply applying the patent val.
 === Regular temperament theory ===
@@ Line 85: / Line 87: @@
 == Miscellany ==
 edo is the 69th highly abundant EDO. Nice.
+When it comes to interval size measures, a curious observation is also that 4320 km/h is close enough to whole integer to equal to 2684 mph, and [[2684edo]] is a zeta peak EDO.
 [[Category:Equal divisions of the octave|####]]
 [[Category:Atomic]]