71edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|71}}
+{{ED intro}}
 == Theory ==
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 == Intervals ==
 {{Interval table}}
+== Notation ==
+=== Sagittal notation ===
+==== Best fifth notation ====
+===== Evo flavor =====
+<imagemap>
+File:71-EDO_Evo_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 300 0 772 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 130 106 [[55/54]]
+rect 130 80 260 106 [[144/143]]
+rect 260 80 370 106 [[81/80]]
+rect 370 80 490 106 [[33/32]]
+rect 490 80 600 106 [[27/26]]
+default [[File:71-EDO_Evo_Sagittal.svg]]
+</imagemap>
+===== Revo flavor =====
+<imagemap>
+File:71-EDO_Revo_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 300 0 772 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 130 106 [[55/54]]
+rect 130 80 260 106 [[144/143]]
+rect 260 80 370 106 [[81/80]]
+rect 370 80 490 106 [[33/32]]
+rect 490 80 600 106 [[27/26]]
+default [[File:71-EDO_Revo_Sagittal.svg]]
+</imagemap>
+===== Evo-SZ flavor =====
+<imagemap>
+File:71-EDO_Evo-SZ_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 605 0 765 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 130 106 [[55/54]]
+rect 130 80 260 106 [[144/143]]
+rect 260 80 370 106 [[81/80]]
+rect 370 80 490 106 [[33/32]]
+rect 490 80 600 106 [[27/26]]
+default [[File:71-EDO_Evo-SZ_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.
+==== 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 =====
+<imagemap>
+File:71b_Evo_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 300 0 551 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 160 106 [[1053/1024]]
+default [[File:71b_Evo_Sagittal.svg]]
+</imagemap>
+===== Revo flavor =====
+<imagemap>
+File:71b_Revo_Sagittal.svg
+desc none
+rect 80 0 300 50 [[Sagittal_notation]]
+rect 300 0 520 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
+rect 20 80 160 106 [[1053/1024]]
+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]]