34edo: Difference between revisions

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== Notation ==

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

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

34edo 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 ===

34edo 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 with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:~~

~~{{Sharpness-sharp4}}~~

=== Sagittal notation ===

This notation uses the same sagittal sequence as [[41edo#Sagittal notation|~~41-EDO~~]], and is a superset of the notation for [[17edo#Sagittal notation|~~17-EDO~~]].

This notation uses the same sagittal sequence as [[41edo #Sagittal notation|41edo]], and is a superset of the notation for [[17edo #Sagittal notation|17edo]].

==== Evo flavor ====

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=== Counterpoint ===

34edo has such an excellent [[sqrt(25/24)]] that the next edo to have a better one is [[441edo|441]]. Every sequence of intervals available in [[17edo]] ~~are~~ reachable by {{W|Contrary motion|strict contrary motion}} in 34edo.

34edo has such an excellent [[sqrt(25/24)]] that the next edo to have a better one is [[441edo|441]]. Every sequence of intervals available in [[17edo]] is reachable by {{W|Contrary motion|strict contrary motion}} in 34edo.

== Regular temperament properties ==

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* [[Blackdye]] (5:3:1)

* [[Diachrome]] (5:2:1)

* [[Cthon5m]] (4:2:1) === Combination product sets ===

* [[Cthon5m]] (4:2:1)

=== Combination product sets ===

* [[1-3-5-9 hexany]]: 6 5 9 5 6 3

* Rotated [[1-3-5-11 hexany]]: 5 4 7 4 5 9

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=== 21st century ===

; [[bili_33093783396]]

* [https://www.bilibili.com/video/BV1CggPztEEi/ ''A Show of Tetracot Modulation''] (2025)

; [[Flora Canou]]

* [https://soundcloud.com/floracanou/october-dieting-plan?in=floracanou/sets/totmc-suite "October Dieting Plan"] from [https://soundcloud.com/floracanou/sets/totmc-suite ''TOTMC Suite''] (2023–2025) – in [[modus]], 34edo tuning

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* [https://www.youtube.com/shorts/uVZ6tJ1y6ak ''34edo improv''] (2025)

* [https://www.youtube.com/shorts/Azk7a2bAwOo ''In My Room - Julia Wolf (microtonal cover in 34edo)''] (2026)

* [https://www.youtube.com/shorts/PDANHoJhs3I ''34edo groove''] (2026)

* [https://www.youtube.com/watch?v=CY4IlT1UEFs ''groove 34edo''] (2026)

; [[E8 Heterotic]]

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; [[Tapeworm Saga]]

* [https://www.youtube.com/watch?v=BhgxwP9_cSw ''A 3/4 piece in 34edo on 12/31/23''] (2023)

; [[Shanyuan Baihe-Yuri]] (杉原百合-Yuri)

* [https://www.bilibili.com/video/BV1CK411b72L/ ''Lost Memories -1#''] (2023)

* [https://www.bilibili.com/video/BV1Dw411h7Af/ ''Hold a Memorial Ceremony for Myself''] (2023)

; [[Sintel]]

@@ Line 424: / Line 424: @@
 == 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 and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
-{{Sharpness-sharp4}}
 === Sagittal notation ===
-This notation uses the same sagittal sequence as [[41edo#Sagittal notation|41-EDO]], and is a superset of the notation for [[17edo#Sagittal notation|17-EDO]].
+This notation uses the same sagittal sequence as [[41edo #Sagittal notation|41edo]], and is a superset of the notation for [[17edo #Sagittal notation|17edo]].
 ==== Evo flavor ====
@@ Line 491: / Line 492: @@
 === Counterpoint ===
-edo has such an excellent [[sqrt(25/24)]] that the next edo to have a better one is [[441edo|441]]. Every sequence of intervals available in [[17edo]] are reachable by {{W|Contrary motion|strict contrary motion}} in 34edo.
+edo has such an excellent [[sqrt(25/24)]] that the next edo to have a better one is [[441edo|441]]. Every sequence of intervals available in [[17edo]] is reachable by {{W|Contrary motion|strict contrary motion}} in 34edo.
 == Regular temperament properties ==
@@ Line 775: / Line 776: @@
 * [[Blackdye]] (5:3:1)
 * [[Diachrome]] (5:2:1)
-* [[Cthon5m]] (4:2:1) === Combination product sets ===
+* [[Cthon5m]] (4:2:1)
+=== Combination product sets ===
 * [[1-3-5-9 hexany]]: 6 5 9 5 6 3
 * Rotated [[1-3-5-11 hexany]]: 5 4 7 4 5 9
@@ Line 818: / Line 821: @@
 === 21st century ===
+; [[bili_33093783396]]
+* [https://www.bilibili.com/video/BV1CggPztEEi/ ''A Show of Tetracot Modulation''] (2025)
 ; [[Flora Canou]]
 * [https://soundcloud.com/floracanou/october-dieting-plan?in=floracanou/sets/totmc-suite "October Dieting Plan"] from [https://soundcloud.com/floracanou/sets/totmc-suite ''TOTMC Suite''] (2023–2025) – in [[modus]], 34edo tuning
@@ Line 824: / Line 830: @@
 * [https://www.youtube.com/shorts/uVZ6tJ1y6ak ''34edo improv''] (2025)
 * [https://www.youtube.com/shorts/Azk7a2bAwOo ''In My Room - Julia Wolf (microtonal cover in 34edo)''] (2026)
+* [https://www.youtube.com/shorts/PDANHoJhs3I ''34edo groove''] (2026)
+* [https://www.youtube.com/watch?v=CY4IlT1UEFs ''groove 34edo''] (2026)
 ; [[E8 Heterotic]]
@@ Line 864: / Line 872: @@
 ; [[Tapeworm Saga]]
 * [https://www.youtube.com/watch?v=BhgxwP9_cSw ''A 3/4 piece in 34edo on 12/31/23''] (2023)
+; [[Shanyuan Baihe-Yuri]] (杉原百合-Yuri)
+* [https://www.bilibili.com/video/BV1CK411b72L/ ''Lost Memories -1#''] (2023)
+* [https://www.bilibili.com/video/BV1Dw411h7Af/ ''Hold a Memorial Ceremony for Myself''] (2023)
 ; [[Sintel]]