69edo: Difference between revisions

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== Notation ==

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

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

69edo 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 along with quartertone accidentals and arrows:

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

69edo 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 and flats along with Stein–Zimmerman [[24edo#Notation|quarter-tone]] accidentals, combined with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:

~~{{Sharpness-sharp4}}~~

=== Sagittal notation ===

This notation uses the same sagittal sequence as ~~EDOs~~ [[62edo#Sagittal notation|62]] and [[76edo#Sagittal notation|76]].

This notation uses the same sagittal sequence as edos [[62edo #Sagittal notation|62]] and [[76edo #Sagittal notation|76]].

==== Evo flavor ====

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</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~~.

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 ==

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== Music ==

=== Modern renderings ===

; {{W|Mili (band)|Mili}}

* [https://www.youtube.com/shorts/4XBELeySMPk ''Compass''] (2023) — microtonal cover in 69edo by [[Bryan Deister]] (2025)

=== 21st century ===

; [[Bryan Deister]]

* [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025)

* [https://www.youtube.com/shorts/4XBELeySMPk ''Compass - Mili (microtonal cover in 69edo)''] (2025)

* [https://www.youtube.com/shorts/GOjgAm6uwOY ''69edo waltz''] (2025)

* [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026)

; [[Eliora]]

@@ Line 450: / Line 450: @@
 == 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 along 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.
 {{Sharpness-sharp4a}}
-[[Alternative symbols for ups and downs notation]] uses sharps and flats along with Stein–Zimmerman [[24edo#Notation|quarter-tone]] accidentals, combined with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
-{{Sharpness-sharp4}}
 === Sagittal notation ===
-This notation uses the same sagittal sequence as EDOs [[62edo#Sagittal notation|62]] and [[76edo#Sagittal notation|76]].
+This notation uses the same sagittal sequence as edos [[62edo #Sagittal notation|62]] and [[76edo #Sagittal notation|76]].
 ==== Evo flavor ====
@@ Line 491: / Line 494: @@
 </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.
+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 ==
@@ Line 591: / Line 594: @@
 == Music ==
+=== Modern renderings ===
+; {{W|Mili (band)|Mili}}
+* [https://www.youtube.com/shorts/4XBELeySMPk ''Compass''] (2023) — microtonal cover in 69edo by [[Bryan Deister]] (2025)
+=== 21st century ===
 ; [[Bryan Deister]]
 * [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025)
-* [https://www.youtube.com/shorts/4XBELeySMPk ''Compass - Mili (microtonal cover in 69edo)''] (2025)
 * [https://www.youtube.com/shorts/GOjgAm6uwOY ''69edo waltz''] (2025)
+* [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026)
 ; [[Eliora]]