65edo: Difference between revisions

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VisualWikitext

@@ Line 419: / Line 419: @@
 | D
 |}
+<references group="note" />
 == Notation ==
 === Ups and downs notation ===
-Using [[Helmholtz–Ellis]] accidentals, 65edo can also be notated using [[ups and downs notation]]:
+edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
+{{Sharpness-sharp6a}}
+Half-sharps and half-flats can be used to avoid triple arrows:
+{{Sharpness-sharp6b}}
+[[Alternative symbols for ups and downs notation#Sharp-6| Alternative ups and downs]] have arrows borrowed from extended [[Helmholtz–Ellis notation]]:
 {{Sharpness-sharp6}}
-In some cases, certain notes may be best notated using semi- and sesquisharps and flats with arrows:
+If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
 {{Sharpness-sharp6-qt}}
@@ Line 474: / Line 481: @@
 == Approximation to JI ==
 === Zeta peak index ===
-{| class="wikitable center-all"
+{{ZPI
-|-
+| zpi = 334
-! colspan="3" | Tuning
+| steps = 65.0158450885860
-! colspan="3" | Strength
+| step size = 18.4570391781413
-! colspan="2" | Closest edo
+| tempered height = 7.813349
-! colspan="2" | Integer limit
+| pure height = 7.642373
-|-
+| integral = 1.269821
-! ZPI
+| gap = 16.514861
-! Steps per octave
+| octave = 1199.70754657919
-! Step size (cents)
+| consistent = 6
-! Height
+| distinct = 6
-! Integral
+}}
-! Gap
-! Edo
-! Octave (cents)
-! Consistent
-! Distinct
-|-
-| [[334zpi]]
-| 65.0158450885860
-| 18.4570391781413
-| 7.813349
-| 1.269821
-| 16.514861
-| 65edo
-| 1199.70754657919
-| 6
-| 6
-|}
 == Regular temperament properties ==
@@ Line 588: / Line 578: @@
 | 498.46
 | 4/3
-| [[Helmholtz]] / [[nestoria]] / [[photia]]
+| [[Helmholtz (temperament)|Helmholtz]] / [[nestoria]] / [[photia]]
 |-
 | 1
@@ Line 625: / Line 615: @@
 [[Lumatone mapping for 65edo]]
-== Notes ==
+== Music ==
-<references group="note" />
+; [[Bryan Deister]]
+* [https://www.youtube.com/shorts/W5PXWFduPco ''microtonal improvisation in 65edo''] (2025).
 [[Category:Listen]]