55edo: Difference between revisions

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== Notation ==

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

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

55edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.

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

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

55edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.

[[Alternative symbols for ups and downs notation]] uses sharps, flats, half- and sesquisharps, and half- and sesquiflats with arrows, borrowed from extended [[Helmholtz–Ellis notation]] and [[24edo #Stein–Zimmermann accidentals|Stein-Zimmerman accidental set]]:

~~{{Sharpness-sharp4}}~~

=== Sagittal notation ===

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{{Q-odd-limit intervals|55.05|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55d val mapping}}

{{Q-odd-limit intervals|54.95|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55f val mapping}}

{{Q-odd-limit intervals|54.91|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55cf val mapping}}

== Regular temperament properties ==

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* [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)

* [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)

; {{W|John Bull (composer)|John Bull}}

* [https://www.youtube.com/watch?v=I2d-540RuoM ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)

; {{W|Louis Couperin}}

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** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)

** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)

** [https://www.youtube.com/shorts/9J1DkS5UGzE Organ rendition] (2026)

; {{W|Keiichi Okabe}}

@@ Line 421: / Line 421: @@
 == Notation ==
-=== Ups and downs notation ===
+=== Stein–Zimmermann–Gould notation ===
-edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
+[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
+{{Sharpness-sharp4-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, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
 {{Ups and downs sharpness}}
-[[Alternative symbols for ups and downs notation]] uses sharps, flats, half- and sesquisharps, and half- and sesquiflats with arrows, borrowed from extended [[Helmholtz–Ellis notation]] and [[24edo #Stein–Zimmermann accidentals|Stein-Zimmerman accidental set]]:
-{{Sharpness-sharp4}}
 === Sagittal notation ===
@@ Line 473: / Line 474: @@
 {{Q-odd-limit intervals|55}}
 {{Q-odd-limit intervals|55.05|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55d val mapping}}
+{{Q-odd-limit intervals|54.95|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55f val mapping}}
+{{Q-odd-limit intervals|54.91|apx=val|header=none|tag=none|title=15-odd-limit intervals by 55cf val mapping}}
 == Regular temperament properties ==
@@ Line 606: / Line 609: @@
 * [https://www.youtube.com/watch?v=OfOt3nOp-f8 ''Prelude in E Minor "The Great"''] – rendered by [[Claudi Meneghin]] (2023)
 * [https://www.youtube.com/watch?v=tuIPIhSxUPs ''Prelude in E Minor "The Little"''] – rendered by Claudi Meneghin (2024)
+; {{W|John Bull (composer)|John Bull}}
+* [https://www.youtube.com/watch?v=I2d-540RuoM ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)
 ; {{W|Louis Couperin}}
@@ Line 627: / Line 633: @@
 ** [https://www.youtube.com/watch?v=p88MWgdio14&list=PLC6ZSKWKnVz0mOTLQkCUi9ydWGLpBP8gZ&index=2 Fortepiano rendition] (2025)
 ** [https://www.youtube.com/shorts/7jt-jzziDBg Harpsichord rendition] (2026)
+** [https://www.youtube.com/shorts/9J1DkS5UGzE Organ rendition] (2026)
 ; {{W|Keiichi Okabe}}