360edo: Difference between revisions

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~~One step of 360edo is known as '''the Dröbisch angle'''.~~

== Theory ==

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360edo provides the optimal patent val in the 11-limit, and otherwise a good tuning in the 13-limit for the [[Hemimage_temperaments#Degrees|degrees temperament]], the 80&140 temperament with period 20. Eliora proposes a 7-limit reenactment temperament for 360edo, defined as 188 & 360 and named after the YouTubers cs188 and radicalfaith360. It has a comma basis 2097152/2083725 and {{Monzo|0, -19, -10, 19}}.

=== As an interval size measure ===

360 is the 13th [[highly composite EDO]], with many proper divisors: 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180.

One step of 360edo is known as '''the Dröbisch angle''', being first proposed by Moritz Dröbisch in the 19th century at first merely by the name "angle".

=== Odd harmonics ===

~~=== Subsets and supersets ===~~

~~360 is the 13th [[highly composite EDO]], with many proper divisors: 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180.~~

== Table of intervals ==

Eliora proposes notating 360edo with calendar dates, Jan 1 being the tonic, Jan 2 being the next step, etc, and each month having even 30 days. The notation is convenient because 1 month in this scenario is equal to 1 semitone, and corresponds to [[12edo]].

Any other notation system involving the number 360 can also be used~~, such as calling steps degrees, deriving them from Moritz Dröbisch's proposal of calling the step an angle~~.

Any other notation system involving the number 360 can also be used.

{| class="wikitable mw-collapsible mw-collapsed"

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==Music==

* [https://www.youtube.com/watch?v=VSKqwJkWu_U Idyllic Tribe] by [[User:Eliora|Eliora]]

==References==

* [https://www.huygens-fokker.org/docs/measures.html Logarithmic size measures]

==Application as a logarithmic scale outside of music==

360edo is used in the [[wikipedia:Eyeborg|eyeborg]], which maps its scale degrees onto color hues, thus converting color into sound waves. The device was originally intended to help colorblind individuals.

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 {{Infobox ET}}
 {{EDO intro|360}}
-One step of 360edo is known as '''the Dröbisch angle'''.
 == Theory ==
@@ Line 8: / Line 6: @@
 edo provides the optimal patent val in the 11-limit, and otherwise a good tuning in the 13-limit for the [[Hemimage_temperaments#Degrees|degrees temperament]], the 80&amp;140 temperament with period 20. Eliora proposes a 7-limit reenactment temperament for 360edo, defined as 188 & 360 and named after the YouTubers cs188 and radicalfaith360. It has a comma basis 2097152/2083725 and {{Monzo|0, -19, -10, 19}}.
+=== As an interval size measure ===
+is the 13th [[highly composite EDO]], with many proper divisors: 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180.
+One step of 360edo is known as '''the Dröbisch angle''', being first proposed by Moritz Dröbisch in the 19th century at first merely by the name "angle".
 === Odd harmonics ===
 {{harmonics in equal|360}}
-=== Subsets and supersets ===
-is the 13th [[highly composite EDO]], with many proper divisors: 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180.
 == Table of intervals ==
 Eliora proposes notating 360edo with calendar dates, Jan 1 being the tonic, Jan 2 being the next step, etc, and each month having even 30 days. The notation is convenient because 1 month in this scenario is equal to 1 semitone, and corresponds to [[12edo]].
-Any other notation system involving the number 360 can also be used, such as calling steps degrees, deriving them from Moritz Dröbisch's proposal of calling the step an angle.
+Any other notation system involving the number 360 can also be used.
 {| class="wikitable mw-collapsible mw-collapsed"
@@ Line 166: / Line 162: @@
 ==Music==
 * [https://www.youtube.com/watch?v=VSKqwJkWu_U Idyllic Tribe] by [[User:Eliora|Eliora]]
+==References==
+* [https://www.huygens-fokker.org/docs/measures.html Logarithmic size measures]
 ==Application as a logarithmic scale outside of music==
 edo is used in the [[wikipedia:Eyeborg|eyeborg]], which maps its scale degrees onto color hues, thus converting color into sound waves. The device was originally intended to help colorblind individuals.