463edo: Difference between revisions

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== Theory ==

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=== Subsets and supersets ===

463edo is the 90th [[prime edo]].

== Intervals ==

== Regular temperament properties ==

{| class="wikitable center-4 center-5 center-6"

|-

! rowspan="2" | [[Subgroup]]

! rowspan="2" | [[Comma list|Comma List]]

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| {{monzo| 734 -463 }}

| {{mapping| 463 734 }}

| -0.1328

| −0.1328

| 0.1327

| 5.12

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| 1600000/1594323, {{monzo| 91 -12 -31 }}

| {{mapping| 463 734 1075 }}

| -0.0689

| −0.0689

| 0.1411

| 5.44

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| 420175/419904, 703125/702464, 1600000/1594323

| {{mapping| 463 734 1075 1300 }}

| -0.0966

| −0.0966

| 0.1313

| 5.07

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| 3025/3024, 4000/3993, 19712/19683, 117649/117612

| {{mapping| 463 734 1075 1300 1602 }}

| -0.1197

| −0.1197

| 0.1262

| 4.87

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| 676/675, 1716/1715, 3025/3024, 4000/3993, 4096/4095

| {{mapping| 463 734 1075 1300 1602 1713 }}

| -0.0643

| −0.0643

| 0.1691

| 6.52

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| 442/441, 595/594, 676/675, 2500/2499, 3025/3024, 4096/4095

| {{mapping| 463 734 1075 1300 1602 1713 1892 }}

| -0.0103

| −0.0103

| 0.2051

| 7.91

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=== 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

|-

! Periods<br />per 8ve

! Generator*

! Cents*

! Associated<br>~~Ratio~~*

! Associated<br />ratio*

! Temperaments

|-

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== Music ==

; [[Francium]]

* [https://youtu.be/AsDaJXCBd_w?si=6BfHt5gYpCPD1oxq ''For Amity''] (2023) – ~~amity~~ in 463edo tuning

* [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] – ~~undesemi~~ in 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]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|463}}
+{{ED intro}}
 == Theory ==
@@ 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 25: / Line 29: @@
 | {{monzo| 734 -463 }}
 | {{mapping| 463 734 }}
-| -0.1328
+| −0.1328
 | 0.1327
 | 5.12
@@ Line 32: / Line 36: @@
 | 1600000/1594323, {{monzo| 91 -12 -31 }}
 | {{mapping| 463 734 1075 }}
-| -0.0689
+| −0.0689
 | 0.1411
 | 5.44
@@ Line 39: / Line 43: @@
 | 420175/419904, 703125/702464, 1600000/1594323
 | {{mapping| 463 734 1075 1300 }}
-| -0.0966
+| −0.0966
 | 0.1313
 | 5.07
@@ Line 46: / Line 50: @@
 | 3025/3024, 4000/3993, 19712/19683, 117649/117612
 | {{mapping| 463 734 1075 1300 1602 }}
-| -0.1197
+| −0.1197
 | 0.1262
 | 4.87
@@ Line 53: / Line 57: @@
 | 676/675, 1716/1715, 3025/3024, 4000/3993, 4096/4095
 | {{mapping| 463 734 1075 1300 1602 1713 }}
-| -0.0643
+| −0.0643
 | 0.1691
 | 6.52
@@ Line 60: / Line 64: @@
 | 442/441, 595/594, 676/675, 2500/2499, 3025/3024, 4096/4095
 | {{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
+|-
+! Periods<br />per 8ve
 ! Generator*
 ! Cents*
-! Associated<br>Ratio*
+! Associated<br />ratio*
 ! Temperaments
 |-
@@ Line 107: / Line 112: @@
 == Music ==
 ; [[Francium]]
-* [https://youtu.be/AsDaJXCBd_w?si=6BfHt5gYpCPD1oxq ''For Amity''] (2023) – amity in 463edo tuning
+* [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] – undesemi in 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]]