71edo: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|71}}
+{{ED intro}}
 == Theory ==
@@ Line 17: / Line 17: @@
 == Notation ==
+=== Sagittal notation ===
-===Sagittal notation===
+==== Best fifth notation ====
-In the following diagrams, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.
+===== Evo flavor =====
-====Best fifth notation====
-=====Evo flavor=====
 <imagemap>
 File:71-EDO_Evo_Sagittal.svg
@@ Line 36: / Line 33: @@
 </imagemap>
-=====Revo flavor=====
+===== Revo flavor =====
 <imagemap>
 File:71-EDO_Revo_Sagittal.svg
@@ Line 51: / Line 47: @@
 </imagemap>
-=====Evo-SZ flavor=====
+===== Evo-SZ flavor =====
 <imagemap>
 File:71-EDO_Evo-SZ_Sagittal.svg
@@ Line 66: / Line 61: @@
 </imagemap>
-====Second best fifth notation====
+In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.
+==== Second-best fifth notation ====
 This notation uses the same sagittal sequence as EDOs [[50edo#Sagittal notation|50]], [[57edo#Sagittal notation|57]], and [[64edo#Sagittal notation|64]].
-=====Evo flavor=====
+===== Evo flavor =====
 <imagemap>
 File:71b_Evo_Sagittal.svg
@@ Line 79: / Line 76: @@
 </imagemap>
-=====Revo flavor=====
+===== Revo flavor =====
 <imagemap>
 File:71b_Revo_Sagittal.svg
@@ Line 89: / Line 85: @@
 default [[File:71b_Revo_Sagittal.svg]]
 </imagemap>
+In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.
+== Regular temperament properties ==
+{| 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| 113 -71 }}
+| {{mapping| 71 113 }}
+| −2.49
+| 2.49
+| 14.72
+|-
+| 2.3.5
+| 20480/19683, 393216/390625
+| {{mapping| 71	113	165 }}
+| −2.01
+| 2.14
+| 12.69
+|-
+| 2.3.5.7
+| 64/63, 245/243, 2200/2187
+| {{mapping| 71	113	165	200 }} (71d)
+| −2.53
+| 2.06
+| 12.19
+|}
+== Instruments ==
+A [[Lumatone mapping for 71edo]] is available.
 == Music ==
+; [[Bryan Deister]]
+* [https://www.youtube.com/shorts/nMMSQdIV30I ''71edo improv''] (2025)
 ; [[Francium]]
 * [https://www.youtube.com/watch?v=_FPTUlO6jNI ''Dancing in the Mosh Pit''] (2023)
+; [[No Clue Music]]
+* [https://www.youtube.com/watch?v=5_4T9jWYn00 ''Spiraling - Randomness''] (2025)
 [[Category:Listen]]