65edo: Difference between revisions

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== Notation ==

=== ~~Ups~~ and downs notation ===

=== Stein–Zimmermann–Gould notation ===

65edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.

[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:

If double arrows are not desirable, arrows can be attached to quartertone accidentals:

=== Kite's ups and downs notation ===

65edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.

Half-sharps and half-flats can be used to avoid triple arrows:

~~[[Alternative symbols for ups and downs notation#Sharp-6| Alternative ups and downs]] have arrows borrowed from extended [[Helmholtz–Ellis notation]]:~~

~~{{Sharpness-sharp6}}~~

~~If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:~~

~~{{Sharpness-sharp6-qt}}~~

=== Ivan Wyschnegradsky's notation ===

Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:

=== Sagittal notation ===

This notation uses the same sagittal sequence as ~~EDOs~~ [[72edo#Sagittal notation|72]] and [[79edo#Sagittal notation|79]].

This notation uses the same sagittal sequence as edos [[72edo #Sagittal notation|72]] and [[79edo #Sagittal notation|79]].

==== Evo flavor ====

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default [[File:65-EDO_Evo-SZ_Sagittal.svg]]

</imagemap>

== Approximation to JI ==

=== 15-odd-limit interval mappings ===

{{Q-odd-limit intervals|65.1|apx=val|header=none|tag=none|title=15-odd-limit intervals by 65d val mapping}}

== Regular temperament properties ==

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* [https://www.youtube.com/shorts/UJZw9NQuGnY ''Zanarkand - Nobuo Uematsu (microtonal cover in 65edo)''] (2026)

* [https://www.youtube.com/shorts/zxgVvwXnIGQ ''Waltz in 65edo''] (2026)

* [https://www.youtube.com/shorts/OtbEDFhjNkc ''65edo prelude''] (2026)

* [https://www.youtube.com/shorts/c0eWd7UvNQU ''Black Hole Sun - Soundgarden (microtonal cover in 65edo)''] (2026)

[[Category:Listen]]

@@ Line 422: / Line 422: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould 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.
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
+{{Sharpness-sharp6-szg}}
+If double arrows are not desirable, arrows can be attached to quartertone accidentals:
+{{Sharpness-sharp6-qt-szg}}
+=== Kite's ups and downs notation ===
+edo can also be notated with [[Kite's ups and downs notation|Kite's 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}}
-If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
-{{Sharpness-sharp6-qt}}
 === Ivan Wyschnegradsky's notation ===
 Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used:
+{{Sharpness-sharp6-iw}}
-{{sharpness-sharp6-iw}}
 === Sagittal notation ===
-This notation uses the same sagittal sequence as EDOs [[72edo#Sagittal notation|72]] and [[79edo#Sagittal notation|79]].
+This notation uses the same sagittal sequence as edos [[72edo #Sagittal notation|72]] and [[79edo #Sagittal notation|79]].
 ==== Evo flavor ====
@@ Line 478: / Line 478: @@
 default [[File:65-EDO_Evo-SZ_Sagittal.svg]]
 </imagemap>
+== Approximation to JI ==
+=== 15-odd-limit interval mappings ===
+{{Q-odd-limit intervals|65}}
+{{Q-odd-limit intervals|65.1|apx=val|header=none|tag=none|title=15-odd-limit intervals by 65d val mapping}}
 == Regular temperament properties ==
@@ Line 612: / Line 616: @@
 * [https://www.youtube.com/shorts/UJZw9NQuGnY ''Zanarkand - Nobuo Uematsu (microtonal cover in 65edo)''] (2026)
 * [https://www.youtube.com/shorts/zxgVvwXnIGQ ''Waltz in 65edo''] (2026)
+* [https://www.youtube.com/shorts/OtbEDFhjNkc ''65edo prelude''] (2026)
+* [https://www.youtube.com/shorts/c0eWd7UvNQU ''Black Hole Sun - Soundgarden (microtonal cover in 65edo)''] (2026)
 [[Category:Listen]]