1559edo: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|1559}}
+{{ED intro}}
 == Theory ==
@@ Line 12: / Line 12: @@
 == Regular temperament properties ==
-{{comma basis begin}}
+{| class="wikitable center-4 center-5 center-6"
+|-
+! rowspan="2" | [[Subgroup]]
+! rowspan="2" | [[Comma list]]
+! rowspan="2" | [[Mapping]]
+! rowspan="2" | Optimal<br />8ve stretch (¢)
+! colspan="2" | Tuning error
+|-
+! [[TE error|Absolute]] (¢)
+! [[TE simple badness|Relative]] (%)
 |-
 | 2.3
 | {{monzo| 2471 -1559 }}
 | {{mapping| 1559 2471 }}
-| -0.0106
+| −0.0106
 | 0.0106
 | 1.38
@@ Line 24: / Line 33: @@
 | {{monzo| 38 -2 -15 }}, {{monzo| 71 -99 37 }}
 | {{mapping| 1559 2471 3620 }}
-| &minus;0.0196
+| −0.0196
 | 0.0155
 | 2.01
@@ Line 31: / Line 40: @@
 | 43046721/43025920, 78125000/78121827, 12884901888/12867859375
 | {{mapping| 1559 2471 3620 4377 }}
-| &minus;0.0376
+| −0.0376
 | 0.0339
 | 4.40
@@ Line 38: / Line 47: @@
 | 3025/3024, 180224/180075, 50014503/50000000, 56953125/56942116
 | {{mapping| 1559 2471 3620 4377 5393 }}
-| &minus;0.0188
+| −0.0188
 | 0.0483
 | 6.27
@@ Line 45: / Line 54: @@
 | 1716/1715, 3025/3024, 4096/4095, 492128/492075, 5282739/5281250
 | {{mapping| 1559 2471 3620 4377 5393 5769 }}
-| &minus;0.0162
+| −0.0162
 | 0.0445
 | 5.78
-{{comma basis end}}
+|}
 === Rank-2 temperaments ===
-{{rank-2 begin}}
+{| class="wikitable center-all left-5"
+|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
+|-
+! Periods<br />per 8ve
+! Generator*
+! Cents*
+! Associated<br />ratio*
+! Temperaments
 |-
 | 1
@@ Line 64: / Line 80: @@
 | 8000/6561
 | [[Raider]]
-{{rank-2 end}}
+|}
-{{orf}}
+<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
 == Music ==
 ; [[Francium]]
-* "confluenceprettype" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/0jCzkUrwVEHevs7xAWgsvh Spotify] | [https://francium223.bandcamp.com/track/confluenceprettype Bandcamp] | [https://www.youtube.com/watch?v=4rxv7ec4BEM YouTube] &ndash; luna[25] in 1559edo tuning
+* "confluenceprettype" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/0jCzkUrwVEHevs7xAWgsvh Spotify] | [https://francium223.bandcamp.com/track/confluenceprettype Bandcamp] | [https://www.youtube.com/watch?v=4rxv7ec4BEM YouTube] – luna[25] in 1559edo tuning
 [[Category:Listen]]