463edo: Difference between revisions

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@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|463}}
+{{ED intro}}
 == Theory ==
-et tempers out 184528125/184473632, 4096000/4084101, [[703125/702464]], 67108864/66976875, 95703125/95551488, 359661568/358722675 and 420175/419904 in the 7-limit; 161280/161051, 25165824/25109315, 820125/819896, 29296875/29218112, 1019215872/1019046875, [[4000/3993]], 759375/758912, 117649/117612, 2359296/2358125, [[6250/6237]], 369140625/369098752, [[200704/200475]], 283115520/282475249, 825000/823543, 180224/180075, 537109375/536870912, [[19712/19683]], [[3025/3024]], 199297406/199290375, 1362944/1361367, [[532400/531441]], 3294225/3294172 and [[1771561/1771470]] in the 11-limit. It supports [[amity]], [[trinity]] and [[undesemi]].
+The equal temperament [[tempering out|tempers out]] the [[amity comma]] in the 5-limit; 420175/419904 and [[703125/702464]] in the 7-limit; [[3025/3024]], [[4000/3993]], [[6250/6237]], [[19712/19683]], and 117649/117612 in the 11-limit. It [[support]]s [[amity]], [[trinity]] and [[undesemi]].
 === Prime harmonics ===
@@ Line 10: / Line 10: @@
 === Subsets and supersets ===
 edo is the 90th [[prime edo]].
+== Intervals ==
+{{Main|Table of 463edo intervals}}
 == Regular temperament properties ==
 {| class="wikitable center-4 center-5 center-6"
+|-
 ! rowspan="2" | [[Subgroup]]
 ! rowspan="2" | [[Comma list|Comma List]]
@@ Line 24: / Line 28: @@
 | 2.3
 | {{monzo| 734 -463 }}
-| {{val| 463 734 }}
+| {{mapping| 463 734 }}
-| -0.1328
+| −0.1328
 | 0.1327
 | 5.12
@@ Line 31: / Line 35: @@
 | 2.3.5
 | 1600000/1594323, {{monzo| 91 -12 -31 }}
-| {{val| 463 734 1075 }}
+| {{mapping| 463 734 1075 }}
-| -0.0689
+| −0.0689
 | 0.1411
 | 5.44
@@ Line 38: / Line 42: @@
 | 2.3.5.7
 | 420175/419904, 703125/702464, 1600000/1594323
-| {{val| 463 734 1075 1300 }}
+| {{mapping| 463 734 1075 1300 }}
-| -0.0966
+| −0.0966
 | 0.1313
 | 5.07
@@ Line 45: / Line 49: @@
 | 2.3.5.7.11
 | 3025/3024, 4000/3993, 19712/19683, 117649/117612
-| {{val| 463 734 1075 1300 1602 }}
+| {{mapping| 463 734 1075 1300 1602 }}
-| -0.1197
+| −0.1197
 | 0.1262
 | 4.87
@@ Line 52: / Line 56: @@
 | 2.3.5.7.11.13
 | 676/675, 1716/1715, 3025/3024, 4000/3993, 4096/4095
-| {{val| 463 734 1075 1300 1602 1713 }}
+| {{mapping| 463 734 1075 1300 1602 1713 }}
-| -0.0643
+| −0.0643
 | 0.1691
 | 6.52
@@ Line 59: / Line 63: @@
 | 2.3.5.7.11.13.17
 | 442/441, 595/594, 676/675, 2500/2499, 3025/3024, 4096/4095
-| {{val| 463 734 1075 1300 1602 1713 1892 }}
+| {{mapping| 463 734 1075 1300 1602 1713 1892 }}
-| -0.0103
+| −0.0103
 | 0.2051
 | 7.91
@@ Line 67: / Line 71: @@
 === Rank-2 temperaments ===
 {| class="wikitable center-all left-5"
-|+Table of rank-2 temperaments by generator
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
-! Periods<br>per 8ve
+|-
-! Generator<br>(Reduced)
+! Periods<br />per 8ve
-! Cents<br>(Reduced)
+! Generator*
-! Associated<br>Ratio
+! Cents*
+! Associated<br />ratio*
 ! Temperaments
+|-
+| 1
+| 31\463
+| 80.35
+| 22/21
+| [[Undesemi]]
+|-
+| 1
+| 51\463
+| 132.18
+| 27/25
+| [[Astro]]
 |-
 | 1
@@ Line 79: / Line 96: @@
 | 243/200
 | [[Amity]] (5-limit)
+|-
+| 1
+| 176\463
+| 456.16
+| 125/96
+| [[Qak]]
 |-
 | 1
@@ Line 85: / Line 108: @@
 | 121/90
 | [[Trinity]] (463fg)
-|-
-| 1
-| 31\463
-| 80.35
-| 22/21
-| [[Undesemi]]
 |}
+== Music ==
+; [[Francium]]
+* [https://youtu.be/AsDaJXCBd_w?si=6BfHt5gYpCPD1oxq ''For Amity''] (2023) – in Amity, 463edo tuning
+* "SOUP" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/6VIDZVg571Fv4Ufzsw4UWV Spotify] | [https://francium223.bandcamp.com/track/soup Bandcamp] | [https://www.youtube.com/watch?v=U4okFGqPMkw YouTube] – in Undesemi, 463edo tuning
+* "In the Field of Light Industry" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/10mz7Kh9ubilgDsbp4fiS1 Spotify] | [https://francium223.bandcamp.com/track/in-the-field-of-light-industry Bandcamp] | [https://www.youtube.com/watch?v=WvXQXaywf8o YouTube]
+* "It's a Great Place To Be." from ''Random Sentences'' (2025) – [https://open.spotify.com/track/24RX2WUoJ6vPHLoB5NrGTA Spotify] | [https://francium223.bandcamp.com/track/its-a-great-place-to-be Bandcamp] | [https://www.youtube.com/watch?v=iatqkX6MQ90 YouTube] – in Alphonsinic, 463edo tuning
+[[Category:Listen]]